Abstract

We design photonic crystal waveguides with efficient chiral light–matter interfaces that can be integrated with solid-state quantum emitters. By using glide-plane-symmetric waveguides, we show that chiral light-matter interaction can exist even in the presence of slow light with slowdown factors of up to 100 and therefore the light–matter interaction exhibits both strong Purcell enhancement and chirality. This allows for near-unity directional β-factors for a range of emitter positions and frequencies. Additionally, we design an efficient mode adapter to couple light from a standard nanobeam waveguide to the glide-plane symmetric photonic crystal waveguide. Our work sets the stage for performing future experiments on a solid-state platform.

© 2016 Optical Society of America

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2016 (1)

R. J. Coles, D. M. Price, J. E. Dixon, B. Royall, E. Clarke, P. Kok, M. S. Skolnick, A. M. Fox, and M. N. Makhonin, “Chirality of nanophotonic waveguide with embedded quantum emitter for unidirectional spin transfer,” Nat. Commun. 7, 11183 (2016).
[Crossref] [PubMed]

2015 (6)

I. Söllner, S. Mahmoodian, S. L. Hansen, L. Midolo, G. Kirsanske, T. Pregnolato, H. El-Ella, E. H. Lee, J. D. Song, S. Stobbe, and P. Lodahl, “Deterministic photon–emitter coupling in chiral photonic circuits,” Nat. Nanotechnol. 10, 775 (2015).
[Crossref]

Cl. Sayrin, C. Junge, R. Mitsch, B. Albrecht, D. O’Shea, P. Schneeweiss, J. Volz, and A. Rauschenbeutel., “Nanophotonic optical isolator controlled by the internal state of cold atoms,” Phys. Rev. X 5, 041036 (2015).

H. Pichler, T. Ramos, A. J. Daley, and P. Zoller., “Quantum optics of chiral spin networks,” Phys. Rev. A 91, 042116 (2015).
[Crossref]

A. B. Young, A. C. T. Thijssen, D. M. Beggs, P. Androvitsaneas, L. Kuipers, J. G. Rarity, S. Hughes, and R. Oulton, “Polarization engineering in photonic crystal waveguides for spin-photon entanglers,” Phys. Rev. Lett. 115, 153901 (2015).
[Crossref] [PubMed]

A. Javadi, I. Söllner, M. Arcari, S. Lindskov Hansen, L. Midolo, S. Mahmoodian, G. Kiršanskeė, T. Pregnolato, E. H. Lee, J. D. Song, S. Stobbe, and P. Lodahl, “Single-photon non-linear optics with a quantum dot in a waveguide,” Nat. Commun. 6, 8655 (2015).
[Crossref] [PubMed]

P. Lodahl, S. Mahmoodian, and S. Stobbe, “Interfacing single photons and single quantum dots with photonic nanostructures,” Rev. Mod. Phys. 87, 347 (2015).
[Crossref]

2014 (3)

J. Petersen, J. Volz, and A. Rauschenbeutel, “Chiral nanophotonic waveguide interface based on spin-orbit interaction of light,” Science 346, 67 (2014).
[Crossref] [PubMed]

M. Arcari, I. Söllner, A. Javadi, S. Lindskov Hansen, S. Mahmoodian, J. Liu, H. Thyrrestrup, E. H. Lee, J. D. Song, S. Stobbe, and P. Lodahl, “Near-unity coupling efficiency of a quantum emitter to a photonic crystal waveguide,” Phys. Rev. Lett. 113, 093603 (2014).
[Crossref] [PubMed]

K. Xia, G. Lu, G. Lin, Y. Cheng, Y. Niu, S. Gong, and J. Twamley, “Reversible nonmagnetic single-photon isolation using unbalanced quantum coupling,” Phys. Rev. A 90, 043802 (2014).
[Crossref]

2013 (1)

2012 (2)

K. Stannigel, P. Rabl, and P. Zoller, “Driven-dissipative preparation of entangled states in cascaded quantum-optical networks,” New J. Phys. 14(6), 063014 (2012).
[Crossref]

K. Y. Bliokh and F. Nori, “Transverse spin of a surface polariton,” Phys. Rev. A 85(6), 061801 (2012).
[Crossref]

2011 (2)

A. Schwagmann, S. Kalliakos, I. Farrer, J. P. Griffiths, G. A. C. Jones, D. A. Ritchie, and A. J. Shields, “On-chip single photon emission from an integrated semiconductor quantum dot into a photonic crystal waveguide,” Appl. Phys. Lett. 99, 261108 (2011).
[Crossref]

J. Bleuse, J. Claudon, M. Creasey, N. S. Malik, J.-M. Gérard, I. Maksymov, J.-P. Hugonin, and P. Lalanne, “Inhibition, enhancement, and control of spontaneous emission in photonic nanowires,” Phys. Rev. Lett. 106, 103601 (2011).
[Crossref] [PubMed]

2010 (1)

M. Z. Hasan and C. L. Kane, “Colloquium: topological insulators,” Rev. Mod. Phys. 82, 3045 (2010).
[Crossref]

2009 (2)

2007 (3)

G. Lecamp, P. Lalanne, and J. P. Hugonin, “Very large spontaneous-emission β factors in photonic-crystal waveguides,” Phys. Rev. Lett. 99, 023902 (2007).
[Crossref]

V. S. C. Manga Rao and S. Hughes, “Single quantum-dot Purcell factor and β-factor in a photonic crystal waveguide,” Phys. Rev. B 75, 205437 (2007).
[Crossref]

J. P. Hugonin, P. Lalanne, T. P. White, and T. F. Krauss., “Coupling into slow-mode photonic crystal waveguides,” Opt. Lett. 32, 2638 (2007).
[Crossref] [PubMed]

2006 (1)

D. Taillaert, F. Van Laere, M. Ayre, W. Bogaerts, D. Van Thourhout, P. Bienstman, and R. Baets, “Grating couplers for coupling between optical fibers and nanophotonic waveguides,” Japanese Journal of Applied Physics 45(8R), 6071 (2006).
[Crossref]

2005 (2)

2001 (1)

Albrecht, B.

Cl. Sayrin, C. Junge, R. Mitsch, B. Albrecht, D. O’Shea, P. Schneeweiss, J. Volz, and A. Rauschenbeutel., “Nanophotonic optical isolator controlled by the internal state of cold atoms,” Phys. Rev. X 5, 041036 (2015).

Androvitsaneas, P.

A. B. Young, A. C. T. Thijssen, D. M. Beggs, P. Androvitsaneas, L. Kuipers, J. G. Rarity, S. Hughes, and R. Oulton, “Polarization engineering in photonic crystal waveguides for spin-photon entanglers,” Phys. Rev. Lett. 115, 153901 (2015).
[Crossref] [PubMed]

Arcari, M.

A. Javadi, I. Söllner, M. Arcari, S. Lindskov Hansen, L. Midolo, S. Mahmoodian, G. Kiršanskeė, T. Pregnolato, E. H. Lee, J. D. Song, S. Stobbe, and P. Lodahl, “Single-photon non-linear optics with a quantum dot in a waveguide,” Nat. Commun. 6, 8655 (2015).
[Crossref] [PubMed]

M. Arcari, I. Söllner, A. Javadi, S. Lindskov Hansen, S. Mahmoodian, J. Liu, H. Thyrrestrup, E. H. Lee, J. D. Song, S. Stobbe, and P. Lodahl, “Near-unity coupling efficiency of a quantum emitter to a photonic crystal waveguide,” Phys. Rev. Lett. 113, 093603 (2014).
[Crossref] [PubMed]

Asenjo-Garcia, A.

J. D. Hood, A. Goban, A. Asenjo-Garcia, M. Lu, S.-P. Yu, D. E. Chang, and H. J. Kimble, “Atom-atom interactions around the band edge of a photonic crystal waveguide,” arXiv:1603.02771 (2016).

Ayre, M.

D. Taillaert, F. Van Laere, M. Ayre, W. Bogaerts, D. Van Thourhout, P. Bienstman, and R. Baets, “Grating couplers for coupling between optical fibers and nanophotonic waveguides,” Japanese Journal of Applied Physics 45(8R), 6071 (2006).
[Crossref]

Baets, R.

D. Taillaert, F. Van Laere, M. Ayre, W. Bogaerts, D. Van Thourhout, P. Bienstman, and R. Baets, “Grating couplers for coupling between optical fibers and nanophotonic waveguides,” Japanese Journal of Applied Physics 45(8R), 6071 (2006).
[Crossref]

Beggs, D. M.

A. B. Young, A. C. T. Thijssen, D. M. Beggs, P. Androvitsaneas, L. Kuipers, J. G. Rarity, S. Hughes, and R. Oulton, “Polarization engineering in photonic crystal waveguides for spin-photon entanglers,” Phys. Rev. Lett. 115, 153901 (2015).
[Crossref] [PubMed]

B. Lang, D. M. Beggs, and R. Oulton, “Time reversal constraint limits unidirectional photon emission in slow-light photonic crystals,” arXiv:1601.04591 (2016).

Bienstman, P.

D. Taillaert, F. Van Laere, M. Ayre, W. Bogaerts, D. Van Thourhout, P. Bienstman, and R. Baets, “Grating couplers for coupling between optical fibers and nanophotonic waveguides,” Japanese Journal of Applied Physics 45(8R), 6071 (2006).
[Crossref]

Bleuse, J.

J. Bleuse, J. Claudon, M. Creasey, N. S. Malik, J.-M. Gérard, I. Maksymov, J.-P. Hugonin, and P. Lalanne, “Inhibition, enhancement, and control of spontaneous emission in photonic nanowires,” Phys. Rev. Lett. 106, 103601 (2011).
[Crossref] [PubMed]

Bliokh, K. Y.

K. Y. Bliokh and F. Nori, “Transverse spin of a surface polariton,” Phys. Rev. A 85(6), 061801 (2012).
[Crossref]

Bogaerts, W.

D. Taillaert, F. Van Laere, M. Ayre, W. Bogaerts, D. Van Thourhout, P. Bienstman, and R. Baets, “Grating couplers for coupling between optical fibers and nanophotonic waveguides,” Japanese Journal of Applied Physics 45(8R), 6071 (2006).
[Crossref]

Borel, P. I.

Botten, L. C.

Chang, D. E.

J. D. Hood, A. Goban, A. Asenjo-Garcia, M. Lu, S.-P. Yu, D. E. Chang, and H. J. Kimble, “Atom-atom interactions around the band edge of a photonic crystal waveguide,” arXiv:1603.02771 (2016).

Cheng, Y.

K. Xia, G. Lu, G. Lin, Y. Cheng, Y. Niu, S. Gong, and J. Twamley, “Reversible nonmagnetic single-photon isolation using unbalanced quantum coupling,” Phys. Rev. A 90, 043802 (2014).
[Crossref]

Clarke, E.

R. J. Coles, D. M. Price, J. E. Dixon, B. Royall, E. Clarke, P. Kok, M. S. Skolnick, A. M. Fox, and M. N. Makhonin, “Chirality of nanophotonic waveguide with embedded quantum emitter for unidirectional spin transfer,” Nat. Commun. 7, 11183 (2016).
[Crossref] [PubMed]

Claudon, J.

J. Bleuse, J. Claudon, M. Creasey, N. S. Malik, J.-M. Gérard, I. Maksymov, J.-P. Hugonin, and P. Lalanne, “Inhibition, enhancement, and control of spontaneous emission in photonic nanowires,” Phys. Rev. Lett. 106, 103601 (2011).
[Crossref] [PubMed]

Cohen, J. D

Coles, R. J.

R. J. Coles, D. M. Price, J. E. Dixon, B. Royall, E. Clarke, P. Kok, M. S. Skolnick, A. M. Fox, and M. N. Makhonin, “Chirality of nanophotonic waveguide with embedded quantum emitter for unidirectional spin transfer,” Nat. Commun. 7, 11183 (2016).
[Crossref] [PubMed]

Creasey, M.

J. Bleuse, J. Claudon, M. Creasey, N. S. Malik, J.-M. Gérard, I. Maksymov, J.-P. Hugonin, and P. Lalanne, “Inhibition, enhancement, and control of spontaneous emission in photonic nanowires,” Phys. Rev. Lett. 106, 103601 (2011).
[Crossref] [PubMed]

Daley, A. J.

H. Pichler, T. Ramos, A. J. Daley, and P. Zoller., “Quantum optics of chiral spin networks,” Phys. Rev. A 91, 042116 (2015).
[Crossref]

Desyatnikov, A. S.

A. A. Sukhorukov, S. Ha, A. S. Desyatnikov, A. V. Lavrinenko, and Y. S. Kivshar, “Slow-light vortices in periodic waveguides,” J. Opt. A 11(9), 094016 (2009).
[Crossref]

Dixon, J. E.

R. J. Coles, D. M. Price, J. E. Dixon, B. Royall, E. Clarke, P. Kok, M. S. Skolnick, A. M. Fox, and M. N. Makhonin, “Chirality of nanophotonic waveguide with embedded quantum emitter for unidirectional spin transfer,” Nat. Commun. 7, 11183 (2016).
[Crossref] [PubMed]

Dossou, K. B.

El-Ella, H.

I. Söllner, S. Mahmoodian, S. L. Hansen, L. Midolo, G. Kirsanske, T. Pregnolato, H. El-Ella, E. H. Lee, J. D. Song, S. Stobbe, and P. Lodahl, “Deterministic photon–emitter coupling in chiral photonic circuits,” Nat. Nanotechnol. 10, 775 (2015).
[Crossref]

Fage-Pedersen, J.

Fan, Shanhui

Farrer, I.

A. Schwagmann, S. Kalliakos, I. Farrer, J. P. Griffiths, G. A. C. Jones, D. A. Ritchie, and A. J. Shields, “On-chip single photon emission from an integrated semiconductor quantum dot into a photonic crystal waveguide,” Appl. Phys. Lett. 99, 261108 (2011).
[Crossref]

Fox, A. M.

R. J. Coles, D. M. Price, J. E. Dixon, B. Royall, E. Clarke, P. Kok, M. S. Skolnick, A. M. Fox, and M. N. Makhonin, “Chirality of nanophotonic waveguide with embedded quantum emitter for unidirectional spin transfer,” Nat. Commun. 7, 11183 (2016).
[Crossref] [PubMed]

Frandsen, L. H.

Gérard, J.-M.

J. Bleuse, J. Claudon, M. Creasey, N. S. Malik, J.-M. Gérard, I. Maksymov, J.-P. Hugonin, and P. Lalanne, “Inhibition, enhancement, and control of spontaneous emission in photonic nanowires,” Phys. Rev. Lett. 106, 103601 (2011).
[Crossref] [PubMed]

Goban, A.

J. D. Hood, A. Goban, A. Asenjo-Garcia, M. Lu, S.-P. Yu, D. E. Chang, and H. J. Kimble, “Atom-atom interactions around the band edge of a photonic crystal waveguide,” arXiv:1603.02771 (2016).

Gong, S.

K. Xia, G. Lu, G. Lin, Y. Cheng, Y. Niu, S. Gong, and J. Twamley, “Reversible nonmagnetic single-photon isolation using unbalanced quantum coupling,” Phys. Rev. A 90, 043802 (2014).
[Crossref]

Griffiths, J. P.

A. Schwagmann, S. Kalliakos, I. Farrer, J. P. Griffiths, G. A. C. Jones, D. A. Ritchie, and A. J. Shields, “On-chip single photon emission from an integrated semiconductor quantum dot into a photonic crystal waveguide,” Appl. Phys. Lett. 99, 261108 (2011).
[Crossref]

Ha, S.

A. A. Sukhorukov, S. Ha, A. S. Desyatnikov, A. V. Lavrinenko, and Y. S. Kivshar, “Slow-light vortices in periodic waveguides,” J. Opt. A 11(9), 094016 (2009).
[Crossref]

Hansen, S. L.

I. Söllner, S. Mahmoodian, S. L. Hansen, L. Midolo, G. Kirsanske, T. Pregnolato, H. El-Ella, E. H. Lee, J. D. Song, S. Stobbe, and P. Lodahl, “Deterministic photon–emitter coupling in chiral photonic circuits,” Nat. Nanotechnol. 10, 775 (2015).
[Crossref]

Hasan, M. Z.

M. Z. Hasan and C. L. Kane, “Colloquium: topological insulators,” Rev. Mod. Phys. 82, 3045 (2010).
[Crossref]

Hilico, A.

M. Scheucher, A. Hilico, E. Will, J. Volz, and A. Rauschenbeutel, “Quantum optical circulator controlled by a single chirally coupled atom,” arXiv:1609.02492 (2016).

Hood, J. D.

J. D. Hood, A. Goban, A. Asenjo-Garcia, M. Lu, S.-P. Yu, D. E. Chang, and H. J. Kimble, “Atom-atom interactions around the band edge of a photonic crystal waveguide,” arXiv:1603.02771 (2016).

Hughes, S.

A. B. Young, A. C. T. Thijssen, D. M. Beggs, P. Androvitsaneas, L. Kuipers, J. G. Rarity, S. Hughes, and R. Oulton, “Polarization engineering in photonic crystal waveguides for spin-photon entanglers,” Phys. Rev. Lett. 115, 153901 (2015).
[Crossref] [PubMed]

V. S. C. Manga Rao and S. Hughes, “Single quantum-dot Purcell factor and β-factor in a photonic crystal waveguide,” Phys. Rev. B 75, 205437 (2007).
[Crossref]

Hugonin, J. P.

G. Lecamp, P. Lalanne, and J. P. Hugonin, “Very large spontaneous-emission β factors in photonic-crystal waveguides,” Phys. Rev. Lett. 99, 023902 (2007).
[Crossref]

J. P. Hugonin, P. Lalanne, T. P. White, and T. F. Krauss., “Coupling into slow-mode photonic crystal waveguides,” Opt. Lett. 32, 2638 (2007).
[Crossref] [PubMed]

Hugonin, J.-P.

J. Bleuse, J. Claudon, M. Creasey, N. S. Malik, J.-M. Gérard, I. Maksymov, J.-P. Hugonin, and P. Lalanne, “Inhibition, enhancement, and control of spontaneous emission in photonic nanowires,” Phys. Rev. Lett. 106, 103601 (2011).
[Crossref] [PubMed]

Javadi, A.

A. Javadi, I. Söllner, M. Arcari, S. Lindskov Hansen, L. Midolo, S. Mahmoodian, G. Kiršanskeė, T. Pregnolato, E. H. Lee, J. D. Song, S. Stobbe, and P. Lodahl, “Single-photon non-linear optics with a quantum dot in a waveguide,” Nat. Commun. 6, 8655 (2015).
[Crossref] [PubMed]

M. Arcari, I. Söllner, A. Javadi, S. Lindskov Hansen, S. Mahmoodian, J. Liu, H. Thyrrestrup, E. H. Lee, J. D. Song, S. Stobbe, and P. Lodahl, “Near-unity coupling efficiency of a quantum emitter to a photonic crystal waveguide,” Phys. Rev. Lett. 113, 093603 (2014).
[Crossref] [PubMed]

Javadi, Alisa

Alisa Javadi and et al., In preparation (2014).

Joannopoulos, J. D.

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A. Javadi, I. Söllner, M. Arcari, S. Lindskov Hansen, L. Midolo, S. Mahmoodian, G. Kiršanskeė, T. Pregnolato, E. H. Lee, J. D. Song, S. Stobbe, and P. Lodahl, “Single-photon non-linear optics with a quantum dot in a waveguide,” Nat. Commun. 6, 8655 (2015).
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A. Javadi, I. Söllner, M. Arcari, S. Lindskov Hansen, L. Midolo, S. Mahmoodian, G. Kiršanskeė, T. Pregnolato, E. H. Lee, J. D. Song, S. Stobbe, and P. Lodahl, “Single-photon non-linear optics with a quantum dot in a waveguide,” Nat. Commun. 6, 8655 (2015).
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S. Mahmoodian, P. Lodahl, and A. Søresensen., “Quantum networks with chiral light–matter interaction in waveguides,” arXiv:1602.07054 (2016).

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K. Xia, G. Lu, G. Lin, Y. Cheng, Y. Niu, S. Gong, and J. Twamley, “Reversible nonmagnetic single-photon isolation using unbalanced quantum coupling,” Phys. Rev. A 90, 043802 (2014).
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A. Javadi, I. Söllner, M. Arcari, S. Lindskov Hansen, L. Midolo, S. Mahmoodian, G. Kiršanskeė, T. Pregnolato, E. H. Lee, J. D. Song, S. Stobbe, and P. Lodahl, “Single-photon non-linear optics with a quantum dot in a waveguide,” Nat. Commun. 6, 8655 (2015).
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P. Lodahl, S. Mahmoodian, S. Stobbe, P. Schneeweiss, J. Volz, A. Rauschenbeutel, H. Pichler, and P. Zoller, “Chiral quantum optics,” arXiv:1608.00446 (2016).

S. Mahmoodian, P. Lodahl, and A. Søresensen., “Quantum networks with chiral light–matter interaction in waveguides,” arXiv:1602.07054 (2016).

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R. J. Coles, D. M. Price, J. E. Dixon, B. Royall, E. Clarke, P. Kok, M. S. Skolnick, A. M. Fox, and M. N. Makhonin, “Chirality of nanophotonic waveguide with embedded quantum emitter for unidirectional spin transfer,” Nat. Commun. 7, 11183 (2016).
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K. Xia, G. Lu, G. Lin, Y. Cheng, Y. Niu, S. Gong, and J. Twamley, “Reversible nonmagnetic single-photon isolation using unbalanced quantum coupling,” Phys. Rev. A 90, 043802 (2014).
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A. B. Young, A. C. T. Thijssen, D. M. Beggs, P. Androvitsaneas, L. Kuipers, J. G. Rarity, S. Hughes, and R. Oulton, “Polarization engineering in photonic crystal waveguides for spin-photon entanglers,” Phys. Rev. Lett. 115, 153901 (2015).
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I. Söllner, S. Mahmoodian, S. L. Hansen, L. Midolo, G. Kirsanske, T. Pregnolato, H. El-Ella, E. H. Lee, J. D. Song, S. Stobbe, and P. Lodahl, “Deterministic photon–emitter coupling in chiral photonic circuits,” Nat. Nanotechnol. 10, 775 (2015).
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R. J. Coles, D. M. Price, J. E. Dixon, B. Royall, E. Clarke, P. Kok, M. S. Skolnick, A. M. Fox, and M. N. Makhonin, “Chirality of nanophotonic waveguide with embedded quantum emitter for unidirectional spin transfer,” Nat. Commun. 7, 11183 (2016).
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H. Pichler, T. Ramos, A. J. Daley, and P. Zoller., “Quantum optics of chiral spin networks,” Phys. Rev. A 91, 042116 (2015).
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A. B. Young, A. C. T. Thijssen, D. M. Beggs, P. Androvitsaneas, L. Kuipers, J. G. Rarity, S. Hughes, and R. Oulton, “Polarization engineering in photonic crystal waveguides for spin-photon entanglers,” Phys. Rev. Lett. 115, 153901 (2015).
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J. Petersen, J. Volz, and A. Rauschenbeutel, “Chiral nanophotonic waveguide interface based on spin-orbit interaction of light,” Science 346, 67 (2014).
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Rauschenbeutel., A.

Cl. Sayrin, C. Junge, R. Mitsch, B. Albrecht, D. O’Shea, P. Schneeweiss, J. Volz, and A. Rauschenbeutel., “Nanophotonic optical isolator controlled by the internal state of cold atoms,” Phys. Rev. X 5, 041036 (2015).

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A. Schwagmann, S. Kalliakos, I. Farrer, J. P. Griffiths, G. A. C. Jones, D. A. Ritchie, and A. J. Shields, “On-chip single photon emission from an integrated semiconductor quantum dot into a photonic crystal waveguide,” Appl. Phys. Lett. 99, 261108 (2011).
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R. J. Coles, D. M. Price, J. E. Dixon, B. Royall, E. Clarke, P. Kok, M. S. Skolnick, A. M. Fox, and M. N. Makhonin, “Chirality of nanophotonic waveguide with embedded quantum emitter for unidirectional spin transfer,” Nat. Commun. 7, 11183 (2016).
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Cl. Sayrin, C. Junge, R. Mitsch, B. Albrecht, D. O’Shea, P. Schneeweiss, J. Volz, and A. Rauschenbeutel., “Nanophotonic optical isolator controlled by the internal state of cold atoms,” Phys. Rev. X 5, 041036 (2015).

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M. Scheucher, A. Hilico, E. Will, J. Volz, and A. Rauschenbeutel, “Quantum optical circulator controlled by a single chirally coupled atom,” arXiv:1609.02492 (2016).

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Cl. Sayrin, C. Junge, R. Mitsch, B. Albrecht, D. O’Shea, P. Schneeweiss, J. Volz, and A. Rauschenbeutel., “Nanophotonic optical isolator controlled by the internal state of cold atoms,” Phys. Rev. X 5, 041036 (2015).

P. Lodahl, S. Mahmoodian, S. Stobbe, P. Schneeweiss, J. Volz, A. Rauschenbeutel, H. Pichler, and P. Zoller, “Chiral quantum optics,” arXiv:1608.00446 (2016).

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A. Schwagmann, S. Kalliakos, I. Farrer, J. P. Griffiths, G. A. C. Jones, D. A. Ritchie, and A. J. Shields, “On-chip single photon emission from an integrated semiconductor quantum dot into a photonic crystal waveguide,” Appl. Phys. Lett. 99, 261108 (2011).
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Shields, A. J.

A. Schwagmann, S. Kalliakos, I. Farrer, J. P. Griffiths, G. A. C. Jones, D. A. Ritchie, and A. J. Shields, “On-chip single photon emission from an integrated semiconductor quantum dot into a photonic crystal waveguide,” Appl. Phys. Lett. 99, 261108 (2011).
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R. J. Coles, D. M. Price, J. E. Dixon, B. Royall, E. Clarke, P. Kok, M. S. Skolnick, A. M. Fox, and M. N. Makhonin, “Chirality of nanophotonic waveguide with embedded quantum emitter for unidirectional spin transfer,” Nat. Commun. 7, 11183 (2016).
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A. Javadi, I. Söllner, M. Arcari, S. Lindskov Hansen, L. Midolo, S. Mahmoodian, G. Kiršanskeė, T. Pregnolato, E. H. Lee, J. D. Song, S. Stobbe, and P. Lodahl, “Single-photon non-linear optics with a quantum dot in a waveguide,” Nat. Commun. 6, 8655 (2015).
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I. Söllner, S. Mahmoodian, S. L. Hansen, L. Midolo, G. Kirsanske, T. Pregnolato, H. El-Ella, E. H. Lee, J. D. Song, S. Stobbe, and P. Lodahl, “Deterministic photon–emitter coupling in chiral photonic circuits,” Nat. Nanotechnol. 10, 775 (2015).
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A. Javadi, I. Söllner, M. Arcari, S. Lindskov Hansen, L. Midolo, S. Mahmoodian, G. Kiršanskeė, T. Pregnolato, E. H. Lee, J. D. Song, S. Stobbe, and P. Lodahl, “Single-photon non-linear optics with a quantum dot in a waveguide,” Nat. Commun. 6, 8655 (2015).
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S. Mahmoodian, P. Lodahl, and A. Søresensen., “Quantum networks with chiral light–matter interaction in waveguides,” arXiv:1602.07054 (2016).

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K. Stannigel, P. Rabl, and P. Zoller, “Driven-dissipative preparation of entangled states in cascaded quantum-optical networks,” New J. Phys. 14(6), 063014 (2012).
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A. Javadi, I. Söllner, M. Arcari, S. Lindskov Hansen, L. Midolo, S. Mahmoodian, G. Kiršanskeė, T. Pregnolato, E. H. Lee, J. D. Song, S. Stobbe, and P. Lodahl, “Single-photon non-linear optics with a quantum dot in a waveguide,” Nat. Commun. 6, 8655 (2015).
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P. Lodahl, S. Mahmoodian, and S. Stobbe, “Interfacing single photons and single quantum dots with photonic nanostructures,” Rev. Mod. Phys. 87, 347 (2015).
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M. Arcari, I. Söllner, A. Javadi, S. Lindskov Hansen, S. Mahmoodian, J. Liu, H. Thyrrestrup, E. H. Lee, J. D. Song, S. Stobbe, and P. Lodahl, “Near-unity coupling efficiency of a quantum emitter to a photonic crystal waveguide,” Phys. Rev. Lett. 113, 093603 (2014).
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A. A. Sukhorukov, S. Ha, A. S. Desyatnikov, A. V. Lavrinenko, and Y. S. Kivshar, “Slow-light vortices in periodic waveguides,” J. Opt. A 11(9), 094016 (2009).
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Thyrrestrup, H.

M. Arcari, I. Söllner, A. Javadi, S. Lindskov Hansen, S. Mahmoodian, J. Liu, H. Thyrrestrup, E. H. Lee, J. D. Song, S. Stobbe, and P. Lodahl, “Near-unity coupling efficiency of a quantum emitter to a photonic crystal waveguide,” Phys. Rev. Lett. 113, 093603 (2014).
[Crossref] [PubMed]

Twamley, J.

K. Xia, G. Lu, G. Lin, Y. Cheng, Y. Niu, S. Gong, and J. Twamley, “Reversible nonmagnetic single-photon isolation using unbalanced quantum coupling,” Phys. Rev. A 90, 043802 (2014).
[Crossref]

Van Laere, F.

D. Taillaert, F. Van Laere, M. Ayre, W. Bogaerts, D. Van Thourhout, P. Bienstman, and R. Baets, “Grating couplers for coupling between optical fibers and nanophotonic waveguides,” Japanese Journal of Applied Physics 45(8R), 6071 (2006).
[Crossref]

Van Thourhout, D.

D. Taillaert, F. Van Laere, M. Ayre, W. Bogaerts, D. Van Thourhout, P. Bienstman, and R. Baets, “Grating couplers for coupling between optical fibers and nanophotonic waveguides,” Japanese Journal of Applied Physics 45(8R), 6071 (2006).
[Crossref]

Volz, J.

Cl. Sayrin, C. Junge, R. Mitsch, B. Albrecht, D. O’Shea, P. Schneeweiss, J. Volz, and A. Rauschenbeutel., “Nanophotonic optical isolator controlled by the internal state of cold atoms,” Phys. Rev. X 5, 041036 (2015).

J. Petersen, J. Volz, and A. Rauschenbeutel, “Chiral nanophotonic waveguide interface based on spin-orbit interaction of light,” Science 346, 67 (2014).
[Crossref] [PubMed]

P. Lodahl, S. Mahmoodian, S. Stobbe, P. Schneeweiss, J. Volz, A. Rauschenbeutel, H. Pichler, and P. Zoller, “Chiral quantum optics,” arXiv:1608.00446 (2016).

M. Scheucher, A. Hilico, E. Will, J. Volz, and A. Rauschenbeutel, “Quantum optical circulator controlled by a single chirally coupled atom,” arXiv:1609.02492 (2016).

White, T. P.

Will, E.

M. Scheucher, A. Hilico, E. Will, J. Volz, and A. Rauschenbeutel, “Quantum optical circulator controlled by a single chirally coupled atom,” arXiv:1609.02492 (2016).

Xia, K.

K. Xia, G. Lu, G. Lin, Y. Cheng, Y. Niu, S. Gong, and J. Twamley, “Reversible nonmagnetic single-photon isolation using unbalanced quantum coupling,” Phys. Rev. A 90, 043802 (2014).
[Crossref]

Young, A. B.

A. B. Young, A. C. T. Thijssen, D. M. Beggs, P. Androvitsaneas, L. Kuipers, J. G. Rarity, S. Hughes, and R. Oulton, “Polarization engineering in photonic crystal waveguides for spin-photon entanglers,” Phys. Rev. Lett. 115, 153901 (2015).
[Crossref] [PubMed]

Yu, S.-P.

J. D. Hood, A. Goban, A. Asenjo-Garcia, M. Lu, S.-P. Yu, D. E. Chang, and H. J. Kimble, “Atom-atom interactions around the band edge of a photonic crystal waveguide,” arXiv:1603.02771 (2016).

Zoller, P.

K. Stannigel, P. Rabl, and P. Zoller, “Driven-dissipative preparation of entangled states in cascaded quantum-optical networks,” New J. Phys. 14(6), 063014 (2012).
[Crossref]

P. Lodahl, S. Mahmoodian, S. Stobbe, P. Schneeweiss, J. Volz, A. Rauschenbeutel, H. Pichler, and P. Zoller, “Chiral quantum optics,” arXiv:1608.00446 (2016).

Zoller., P.

H. Pichler, T. Ramos, A. J. Daley, and P. Zoller., “Quantum optics of chiral spin networks,” Phys. Rev. A 91, 042116 (2015).
[Crossref]

Appl. Phys. Lett. (1)

A. Schwagmann, S. Kalliakos, I. Farrer, J. P. Griffiths, G. A. C. Jones, D. A. Ritchie, and A. J. Shields, “On-chip single photon emission from an integrated semiconductor quantum dot into a photonic crystal waveguide,” Appl. Phys. Lett. 99, 261108 (2011).
[Crossref]

J. Opt. A (1)

A. A. Sukhorukov, S. Ha, A. S. Desyatnikov, A. V. Lavrinenko, and Y. S. Kivshar, “Slow-light vortices in periodic waveguides,” J. Opt. A 11(9), 094016 (2009).
[Crossref]

Japanese Journal of Applied Physics (1)

D. Taillaert, F. Van Laere, M. Ayre, W. Bogaerts, D. Van Thourhout, P. Bienstman, and R. Baets, “Grating couplers for coupling between optical fibers and nanophotonic waveguides,” Japanese Journal of Applied Physics 45(8R), 6071 (2006).
[Crossref]

Nat. Commun. (2)

A. Javadi, I. Söllner, M. Arcari, S. Lindskov Hansen, L. Midolo, S. Mahmoodian, G. Kiršanskeė, T. Pregnolato, E. H. Lee, J. D. Song, S. Stobbe, and P. Lodahl, “Single-photon non-linear optics with a quantum dot in a waveguide,” Nat. Commun. 6, 8655 (2015).
[Crossref] [PubMed]

R. J. Coles, D. M. Price, J. E. Dixon, B. Royall, E. Clarke, P. Kok, M. S. Skolnick, A. M. Fox, and M. N. Makhonin, “Chirality of nanophotonic waveguide with embedded quantum emitter for unidirectional spin transfer,” Nat. Commun. 7, 11183 (2016).
[Crossref] [PubMed]

Nat. Nanotechnol. (1)

I. Söllner, S. Mahmoodian, S. L. Hansen, L. Midolo, G. Kirsanske, T. Pregnolato, H. El-Ella, E. H. Lee, J. D. Song, S. Stobbe, and P. Lodahl, “Deterministic photon–emitter coupling in chiral photonic circuits,” Nat. Nanotechnol. 10, 775 (2015).
[Crossref]

New J. Phys. (1)

K. Stannigel, P. Rabl, and P. Zoller, “Driven-dissipative preparation of entangled states in cascaded quantum-optical networks,” New J. Phys. 14(6), 063014 (2012).
[Crossref]

Opt. Express (4)

Opt. Lett. (2)

Phys. Rev. A (3)

K. Y. Bliokh and F. Nori, “Transverse spin of a surface polariton,” Phys. Rev. A 85(6), 061801 (2012).
[Crossref]

K. Xia, G. Lu, G. Lin, Y. Cheng, Y. Niu, S. Gong, and J. Twamley, “Reversible nonmagnetic single-photon isolation using unbalanced quantum coupling,” Phys. Rev. A 90, 043802 (2014).
[Crossref]

H. Pichler, T. Ramos, A. J. Daley, and P. Zoller., “Quantum optics of chiral spin networks,” Phys. Rev. A 91, 042116 (2015).
[Crossref]

Phys. Rev. B (1)

V. S. C. Manga Rao and S. Hughes, “Single quantum-dot Purcell factor and β-factor in a photonic crystal waveguide,” Phys. Rev. B 75, 205437 (2007).
[Crossref]

Phys. Rev. Lett. (4)

J. Bleuse, J. Claudon, M. Creasey, N. S. Malik, J.-M. Gérard, I. Maksymov, J.-P. Hugonin, and P. Lalanne, “Inhibition, enhancement, and control of spontaneous emission in photonic nanowires,” Phys. Rev. Lett. 106, 103601 (2011).
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G. Lecamp, P. Lalanne, and J. P. Hugonin, “Very large spontaneous-emission β factors in photonic-crystal waveguides,” Phys. Rev. Lett. 99, 023902 (2007).
[Crossref]

M. Arcari, I. Söllner, A. Javadi, S. Lindskov Hansen, S. Mahmoodian, J. Liu, H. Thyrrestrup, E. H. Lee, J. D. Song, S. Stobbe, and P. Lodahl, “Near-unity coupling efficiency of a quantum emitter to a photonic crystal waveguide,” Phys. Rev. Lett. 113, 093603 (2014).
[Crossref] [PubMed]

A. B. Young, A. C. T. Thijssen, D. M. Beggs, P. Androvitsaneas, L. Kuipers, J. G. Rarity, S. Hughes, and R. Oulton, “Polarization engineering in photonic crystal waveguides for spin-photon entanglers,” Phys. Rev. Lett. 115, 153901 (2015).
[Crossref] [PubMed]

Phys. Rev. X (1)

Cl. Sayrin, C. Junge, R. Mitsch, B. Albrecht, D. O’Shea, P. Schneeweiss, J. Volz, and A. Rauschenbeutel., “Nanophotonic optical isolator controlled by the internal state of cold atoms,” Phys. Rev. X 5, 041036 (2015).

Rev. Mod. Phys. (2)

P. Lodahl, S. Mahmoodian, and S. Stobbe, “Interfacing single photons and single quantum dots with photonic nanostructures,” Rev. Mod. Phys. 87, 347 (2015).
[Crossref]

M. Z. Hasan and C. L. Kane, “Colloquium: topological insulators,” Rev. Mod. Phys. 82, 3045 (2010).
[Crossref]

Science (1)

J. Petersen, J. Volz, and A. Rauschenbeutel, “Chiral nanophotonic waveguide interface based on spin-orbit interaction of light,” Science 346, 67 (2014).
[Crossref] [PubMed]

Other (6)

J. D. Hood, A. Goban, A. Asenjo-Garcia, M. Lu, S.-P. Yu, D. E. Chang, and H. J. Kimble, “Atom-atom interactions around the band edge of a photonic crystal waveguide,” arXiv:1603.02771 (2016).

M. Scheucher, A. Hilico, E. Will, J. Volz, and A. Rauschenbeutel, “Quantum optical circulator controlled by a single chirally coupled atom,” arXiv:1609.02492 (2016).

B. Lang, D. M. Beggs, and R. Oulton, “Time reversal constraint limits unidirectional photon emission in slow-light photonic crystals,” arXiv:1601.04591 (2016).

P. Lodahl, S. Mahmoodian, S. Stobbe, P. Schneeweiss, J. Volz, A. Rauschenbeutel, H. Pichler, and P. Zoller, “Chiral quantum optics,” arXiv:1608.00446 (2016).

Alisa Javadi and et al., In preparation (2014).

S. Mahmoodian, P. Lodahl, and A. Søresensen., “Quantum networks with chiral light–matter interaction in waveguides,” arXiv:1602.07054 (2016).

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Figures (6)

Fig. 1
Fig. 1 Schematics of travelling and standing waves in a two-dimensional nanophotonic waveguide. (a) A TE mode (electric field in xy plane) of a high-index waveguide (n1 > n2) propagating to the right with propagation constant k. This mode has a longitudinal electric field component that is π/2 out of phase with the transverse component and its magnitude is related to the confinement of the mode. With appropriate design the field can be circularly polarized. (b) An interference pattern composed of counter-propagating modes of the waveguide in (a) with wavevectors ±k. The resultant mode has electric fields that are real and the cannot have in-plane circular polarization.
Fig. 2
Fig. 2 Glide-plane waveguide geometries and their dispersion curves. (a) A GPW in a triangular lattice with hole-to-hole-centre width of 0.75 3 a and (b) its dispersion curve. The blue lines are the waveguide modes and the grey shading indicates modes not guided by the waveguide. (c) A GPW dispersion engineered to have only a single mode propagating in each direction and (d) its dispersion curve. The dashed blue lines show other modes that are not of interest. See main text for waveguide parameters.
Fig. 3
Fig. 3 (a) The dispersion curve of the GPW and (b) the magnitude of the group index of its modes versus frequency for the structure in Fig. 2(c). (c) The electric field intensity |E|2 (top row) and the directionality factor D (bottom row) for modes along the dispersion curve with normalized frequencies and group indices (i) a/λ = 0.282 and ng = 23 (ii) a/λ = 0.284 and ng = 94 (iii) a/λ = 0.285 and ng = 43 (iv) a/λ = 0.287 and ng = 16 (v) a/λ = 0.298 and ng = 6.
Fig. 4
Fig. 4 Radiation properties of a left-hand circularly polarized dipole in the GPW as a function of position for (a) a/λ = 0.29 corresponding to ng = 10 and (b) a/λ = 0.284 corresponding to ng = 94. The panels show (from left to right) the relative decay rate to the left-propagating mode ΓL, the right-propagating mode ΓR, the unguided radiation reservoir γ, the β-factor of the left propagating mode βL, and the β-factor of the right propagating mode βR. All decay rates are normalized to emission in a homogeneous medium with refractive index n = 3.4638.
Fig. 5
Fig. 5 The mode adapter and its transmission spectrum. The mode adapted is composed of three parts: (a) circular indents are introduced adiabatically. to the nanobeam waveguide to break the reflection symmetry. (b) The glide-plane symmetric nanobeam waveguide is coupled into a GPW whose period is 1.07 times the period of the regular GPW. See main text for detailed parameters. (c) The stretched GPW is coupled directly to the GPW. (d) Normalized transmitted and reflected powers through the GPW with 1−TR corresponding to power lost through scattering to other modes. (e) Computation domain of the GPW. The GPW contains 20 periods with period a with 5 periods with the stretched lattice 1.07a on both sides.
Fig. 6
Fig. 6 Chiral light-matter interaction in a nanobeam waveguide. (a) Electric field intensity along the cross section of a nanobeam waveguide with width w and thickness t = 0.9w. (b) Directionality function of a left-hand circularly polarized dipole positioned along the green line shown in figure (a). (c) Directional beta factors for a left hand circularly polarized dipole along the waveguide. All computations are at a normalized frequency of w/λ = 0.215.

Equations (2)

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E π / a * ( r ) = E π / a ( r ) = E π / a ( r ) ,
E 1 , π / a ( r ) = E 2 , π / a * ( r ) .

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