Abstract

Conventional narrowband spectrum polarization devices are short but not robust, based on quasi-phase matching (QPM) technique, in periodically poled lithium niobate (PPLN) crystal. In this paper, we propose short-length and robust polarization rotators by using shortcuts to adiabaticity. Beyond the QPM condition, the electric field and period of PPLN crystal are designed in terms of invariant dynamics, and further optimized with respect to input wavelength/refractive index variations. In addition, the stability of conversion efficiency on the electric field and period of PPLN crystal is also discussed. As a consequence, the optimal shortcuts are fast as well as robust, which provide broadband spectrum polarization devices with short length.

© 2014 Optical Society of America

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References

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  1. M. R. Watts and H. A. Haus, “Integrated mode-evolution-based polarization rotators,” Opt. Lett. 30, 138–140 (2005).
    [Crossref] [PubMed]
  2. A. A. Rangelov, U. Gaubatz, and N. V. Vitanov, “Broadband adiabatic conversion of light polarization,” Opt. Commun. 283, 3891–3894 (2010).
    [Crossref]
  3. A. A. Rangelov, “Achromatic polarization retarder realized with slowly varying linear and circular birefringence,” Opt. Lett. 36, 2716–2718 (2011).
    [Crossref] [PubMed]
  4. S. S. Ivanov, A. A. Rangelov, N. V. Vitanov, T. Peters, and T. Halfmann, “Highly efficient broadband conversion of light polarization by composite retarders,” J. Opt. Soc. Am. A 29, 265–269 (2012).
    [Crossref]
  5. S. Longhi, “Quantum-optical analogies using photonic structures,” Laser and Photon. Rev. 3, 243–261 (2009).
    [Crossref]
  6. M. H. Levitt, “Composite pulses,” Prog. Nucl. Magn. Reson. Spectrosc. 18, 61–122 (1986).
    [Crossref]
  7. X. Chen, A. Ruschhaupt, S. Schmidt, A. del Campo, D. Guéry-Odelin, and J. G. Muga, “Fast Optimal Frictionless Atom Cooling in Harmonic Traps: Shortcut to Adiabaticity,” Phys. Rev. Lett. 104, 063002 (2010).
    [Crossref] [PubMed]
  8. X. Chen, I. Lizuain, A. Ruschhaupt, D. Guéry-Odelin, and J. G. Muga, “Shortcut to Adiabatic Passage in Two- and Three-Level Atoms,” Phys. Rev. Lett. 105, 123003 (2010).
    [Crossref] [PubMed]
  9. S. Ibáñez, X. Chen, E. Torrontegui, J. G. Muga, and A. Ruschhaupt, “Multiple Schrödinger Pictures and Dynamics in Shortcuts to Adiabaticity,” Phys. Rev. Lett. 109, 100403 (2012).
    [Crossref]
  10. E. Torrontegui, S. Ibáñez, S. Martínez-Garaot, M. Modugno, A. del Campo, D. Guéry-Odelin, A. Ruschhaupt, X. Chen, and J. G. Muga, “Shortcuts to adiabaticity,” Adv. At. Mol. Opt. Phys. 62, 117–169 (2013).
    [Crossref]
  11. T.-Y. Lin, F.-C. Hsiao, Y.-W. Jhang, C. Hu, and S.-Y. Tseng, “Mode conversion using optical analogy of shortcut to adiabatic passage in engineered multimode waveguides,” Opt. Express 20, 24085–24092 (2012).
    [Crossref] [PubMed]
  12. S.-Y. Tseng and X. Chen, “Engineering of fast mode conversion in multimode waveguides,” Opt. Lett. 37, 5118–5120 (2012).
    [Crossref] [PubMed]
  13. S.-Y. Tseng, “Counterdiabatic mode-evolution based coupled-waveguide devices,” Opt. Express 21, 21224–21235 (2013).
    [Crossref] [PubMed]
  14. S. Martínez-Garaot, S.-Y. Tseng, and J. G. Muga, “Compact and high conversion efficiency mode-sorting asymmetric Y junction using shortcuts to adiabaticity,” Opt. Lett. 39, 2306–2309 (2014).
    [Crossref] [PubMed]
  15. S.-Y. Tseng, R.-D. Wen, Y.-F. Chiu, and X. Chen, “Short and robust directional couplers designed by shortcuts to adiabaticity,” Opt. Express 22, 18849—18859 (2014).
    [Crossref]
  16. H. R. Lewis and W. B. Riesenfeld, “An exact quantum theory of the time-dependent harmonic oscillator and of a charged particle in a time-dependent electromagnetic field,” J. Math. Phys. 10, 1458–1473 (1969).
    [Crossref]
  17. A. Ruschhaupt, X. Chen, D. Alonso, and J. G. Muga, “Optimally robust shortcuts to population inversion in two-level quantum systems,” New J. Phys. 14, 093040 (2012).
    [Crossref]
  18. X.-J. Lu, X. Chen, A. Ruschhaupt, D. Alonso, S. Guérin, and J. G. Muga, “Fast and robust population transfer in two-level quantum systems with dephasing noise and/or systematic frequency errors,” Phys. Rev. A 88, 033406 (2013).
    [Crossref]
  19. D. Daems, A. Ruschhaupt, D. Sugny, and S. Guérin, “Robust quantum control by a single-shot shaped pulse,” Phys. Rev. Lett. 111, 050404 (2013).
    [Crossref] [PubMed]
  20. S. Thaniyavarn, “Wavelength-independent, optical-damage-immune LiNbO3 TE-TM mode converter,” Opt. Lett. 11, 39–41 (1986).
    [Crossref]
  21. Y.-Q. Lu, Z.-L. Wan, Q. Wang, Y.-X. Xi, and N.-B. Ming, “Electro-optic effect of periodically poled optical superlattice LiNbO3 and its applications,” Appl. Phys. Lett. 77, 3719–3721 (2000).
    [Crossref]
  22. Y.-M. Zhu, X.-F. Chen, J.-H. Shi, Y.-P. Chen, Y.-X. Xia, and Y.-L. Chen, “Wide-range tunable wavelength filter in periodically poled lithium niobate,” Opt. Commun. 228, 139–143 (2003).
    [Crossref]
  23. K. Liu, J.-H. Shi, and X.-F. Chen, “Electro-optical flat-top bandpass Solc-type filter in periodically poled lithium niobate,” Opt. Lett. 34, 1051–1053 (2009).
    [Crossref] [PubMed]
  24. K. Liu, J.-H. Shi, and X.-F. Chen, “Linear polarization-state generator with high precision in periodically poled lithium niobate,” Appl. Phys. Lett. 94, 101106 (2009).
    [Crossref]
  25. K. Liu and X.-F. Chen, “Evolution of the optical polarization in a periodically poled superlattice with an external electric field,” Phys. Rev. A 80, 063808 (2009).
    [Crossref]
  26. Y.-X. Zhang, Y.-P. Chen, and X.-F. Chen, “Polarization-based all-optical logic controlled-NOT, XOR, and XNOR gates employing electro-optic effect in periodically poled lithium niobate,” Appl. Phys. Lett. 99, 161117 (2011).
    [Crossref]
  27. X.-J. Lu, J. G. Muga, X. Chen, U. G. Poschinger, F. Schmidt-Kaler, and A. Ruschhaupt, “Fast shuttling of a trapped ion in the presence of noise,” Phys. Rev. A 89, 063414 (2014).
    [Crossref]

2014 (3)

2013 (4)

E. Torrontegui, S. Ibáñez, S. Martínez-Garaot, M. Modugno, A. del Campo, D. Guéry-Odelin, A. Ruschhaupt, X. Chen, and J. G. Muga, “Shortcuts to adiabaticity,” Adv. At. Mol. Opt. Phys. 62, 117–169 (2013).
[Crossref]

S.-Y. Tseng, “Counterdiabatic mode-evolution based coupled-waveguide devices,” Opt. Express 21, 21224–21235 (2013).
[Crossref] [PubMed]

X.-J. Lu, X. Chen, A. Ruschhaupt, D. Alonso, S. Guérin, and J. G. Muga, “Fast and robust population transfer in two-level quantum systems with dephasing noise and/or systematic frequency errors,” Phys. Rev. A 88, 033406 (2013).
[Crossref]

D. Daems, A. Ruschhaupt, D. Sugny, and S. Guérin, “Robust quantum control by a single-shot shaped pulse,” Phys. Rev. Lett. 111, 050404 (2013).
[Crossref] [PubMed]

2012 (5)

2011 (2)

A. A. Rangelov, “Achromatic polarization retarder realized with slowly varying linear and circular birefringence,” Opt. Lett. 36, 2716–2718 (2011).
[Crossref] [PubMed]

Y.-X. Zhang, Y.-P. Chen, and X.-F. Chen, “Polarization-based all-optical logic controlled-NOT, XOR, and XNOR gates employing electro-optic effect in periodically poled lithium niobate,” Appl. Phys. Lett. 99, 161117 (2011).
[Crossref]

2010 (3)

X. Chen, A. Ruschhaupt, S. Schmidt, A. del Campo, D. Guéry-Odelin, and J. G. Muga, “Fast Optimal Frictionless Atom Cooling in Harmonic Traps: Shortcut to Adiabaticity,” Phys. Rev. Lett. 104, 063002 (2010).
[Crossref] [PubMed]

X. Chen, I. Lizuain, A. Ruschhaupt, D. Guéry-Odelin, and J. G. Muga, “Shortcut to Adiabatic Passage in Two- and Three-Level Atoms,” Phys. Rev. Lett. 105, 123003 (2010).
[Crossref] [PubMed]

A. A. Rangelov, U. Gaubatz, and N. V. Vitanov, “Broadband adiabatic conversion of light polarization,” Opt. Commun. 283, 3891–3894 (2010).
[Crossref]

2009 (4)

S. Longhi, “Quantum-optical analogies using photonic structures,” Laser and Photon. Rev. 3, 243–261 (2009).
[Crossref]

K. Liu, J.-H. Shi, and X.-F. Chen, “Electro-optical flat-top bandpass Solc-type filter in periodically poled lithium niobate,” Opt. Lett. 34, 1051–1053 (2009).
[Crossref] [PubMed]

K. Liu, J.-H. Shi, and X.-F. Chen, “Linear polarization-state generator with high precision in periodically poled lithium niobate,” Appl. Phys. Lett. 94, 101106 (2009).
[Crossref]

K. Liu and X.-F. Chen, “Evolution of the optical polarization in a periodically poled superlattice with an external electric field,” Phys. Rev. A 80, 063808 (2009).
[Crossref]

2005 (1)

2003 (1)

Y.-M. Zhu, X.-F. Chen, J.-H. Shi, Y.-P. Chen, Y.-X. Xia, and Y.-L. Chen, “Wide-range tunable wavelength filter in periodically poled lithium niobate,” Opt. Commun. 228, 139–143 (2003).
[Crossref]

2000 (1)

Y.-Q. Lu, Z.-L. Wan, Q. Wang, Y.-X. Xi, and N.-B. Ming, “Electro-optic effect of periodically poled optical superlattice LiNbO3 and its applications,” Appl. Phys. Lett. 77, 3719–3721 (2000).
[Crossref]

1986 (2)

1969 (1)

H. R. Lewis and W. B. Riesenfeld, “An exact quantum theory of the time-dependent harmonic oscillator and of a charged particle in a time-dependent electromagnetic field,” J. Math. Phys. 10, 1458–1473 (1969).
[Crossref]

Alonso, D.

X.-J. Lu, X. Chen, A. Ruschhaupt, D. Alonso, S. Guérin, and J. G. Muga, “Fast and robust population transfer in two-level quantum systems with dephasing noise and/or systematic frequency errors,” Phys. Rev. A 88, 033406 (2013).
[Crossref]

A. Ruschhaupt, X. Chen, D. Alonso, and J. G. Muga, “Optimally robust shortcuts to population inversion in two-level quantum systems,” New J. Phys. 14, 093040 (2012).
[Crossref]

Chen, X.

X.-J. Lu, J. G. Muga, X. Chen, U. G. Poschinger, F. Schmidt-Kaler, and A. Ruschhaupt, “Fast shuttling of a trapped ion in the presence of noise,” Phys. Rev. A 89, 063414 (2014).
[Crossref]

S.-Y. Tseng, R.-D. Wen, Y.-F. Chiu, and X. Chen, “Short and robust directional couplers designed by shortcuts to adiabaticity,” Opt. Express 22, 18849—18859 (2014).
[Crossref]

X.-J. Lu, X. Chen, A. Ruschhaupt, D. Alonso, S. Guérin, and J. G. Muga, “Fast and robust population transfer in two-level quantum systems with dephasing noise and/or systematic frequency errors,” Phys. Rev. A 88, 033406 (2013).
[Crossref]

E. Torrontegui, S. Ibáñez, S. Martínez-Garaot, M. Modugno, A. del Campo, D. Guéry-Odelin, A. Ruschhaupt, X. Chen, and J. G. Muga, “Shortcuts to adiabaticity,” Adv. At. Mol. Opt. Phys. 62, 117–169 (2013).
[Crossref]

A. Ruschhaupt, X. Chen, D. Alonso, and J. G. Muga, “Optimally robust shortcuts to population inversion in two-level quantum systems,” New J. Phys. 14, 093040 (2012).
[Crossref]

S. Ibáñez, X. Chen, E. Torrontegui, J. G. Muga, and A. Ruschhaupt, “Multiple Schrödinger Pictures and Dynamics in Shortcuts to Adiabaticity,” Phys. Rev. Lett. 109, 100403 (2012).
[Crossref]

S.-Y. Tseng and X. Chen, “Engineering of fast mode conversion in multimode waveguides,” Opt. Lett. 37, 5118–5120 (2012).
[Crossref] [PubMed]

X. Chen, A. Ruschhaupt, S. Schmidt, A. del Campo, D. Guéry-Odelin, and J. G. Muga, “Fast Optimal Frictionless Atom Cooling in Harmonic Traps: Shortcut to Adiabaticity,” Phys. Rev. Lett. 104, 063002 (2010).
[Crossref] [PubMed]

X. Chen, I. Lizuain, A. Ruschhaupt, D. Guéry-Odelin, and J. G. Muga, “Shortcut to Adiabatic Passage in Two- and Three-Level Atoms,” Phys. Rev. Lett. 105, 123003 (2010).
[Crossref] [PubMed]

Chen, X.-F.

Y.-X. Zhang, Y.-P. Chen, and X.-F. Chen, “Polarization-based all-optical logic controlled-NOT, XOR, and XNOR gates employing electro-optic effect in periodically poled lithium niobate,” Appl. Phys. Lett. 99, 161117 (2011).
[Crossref]

K. Liu, J.-H. Shi, and X.-F. Chen, “Linear polarization-state generator with high precision in periodically poled lithium niobate,” Appl. Phys. Lett. 94, 101106 (2009).
[Crossref]

K. Liu and X.-F. Chen, “Evolution of the optical polarization in a periodically poled superlattice with an external electric field,” Phys. Rev. A 80, 063808 (2009).
[Crossref]

K. Liu, J.-H. Shi, and X.-F. Chen, “Electro-optical flat-top bandpass Solc-type filter in periodically poled lithium niobate,” Opt. Lett. 34, 1051–1053 (2009).
[Crossref] [PubMed]

Y.-M. Zhu, X.-F. Chen, J.-H. Shi, Y.-P. Chen, Y.-X. Xia, and Y.-L. Chen, “Wide-range tunable wavelength filter in periodically poled lithium niobate,” Opt. Commun. 228, 139–143 (2003).
[Crossref]

Chen, Y.-L.

Y.-M. Zhu, X.-F. Chen, J.-H. Shi, Y.-P. Chen, Y.-X. Xia, and Y.-L. Chen, “Wide-range tunable wavelength filter in periodically poled lithium niobate,” Opt. Commun. 228, 139–143 (2003).
[Crossref]

Chen, Y.-P.

Y.-X. Zhang, Y.-P. Chen, and X.-F. Chen, “Polarization-based all-optical logic controlled-NOT, XOR, and XNOR gates employing electro-optic effect in periodically poled lithium niobate,” Appl. Phys. Lett. 99, 161117 (2011).
[Crossref]

Y.-M. Zhu, X.-F. Chen, J.-H. Shi, Y.-P. Chen, Y.-X. Xia, and Y.-L. Chen, “Wide-range tunable wavelength filter in periodically poled lithium niobate,” Opt. Commun. 228, 139–143 (2003).
[Crossref]

Chiu, Y.-F.

Daems, D.

D. Daems, A. Ruschhaupt, D. Sugny, and S. Guérin, “Robust quantum control by a single-shot shaped pulse,” Phys. Rev. Lett. 111, 050404 (2013).
[Crossref] [PubMed]

del Campo, A.

E. Torrontegui, S. Ibáñez, S. Martínez-Garaot, M. Modugno, A. del Campo, D. Guéry-Odelin, A. Ruschhaupt, X. Chen, and J. G. Muga, “Shortcuts to adiabaticity,” Adv. At. Mol. Opt. Phys. 62, 117–169 (2013).
[Crossref]

X. Chen, A. Ruschhaupt, S. Schmidt, A. del Campo, D. Guéry-Odelin, and J. G. Muga, “Fast Optimal Frictionless Atom Cooling in Harmonic Traps: Shortcut to Adiabaticity,” Phys. Rev. Lett. 104, 063002 (2010).
[Crossref] [PubMed]

Gaubatz, U.

A. A. Rangelov, U. Gaubatz, and N. V. Vitanov, “Broadband adiabatic conversion of light polarization,” Opt. Commun. 283, 3891–3894 (2010).
[Crossref]

Guérin, S.

D. Daems, A. Ruschhaupt, D. Sugny, and S. Guérin, “Robust quantum control by a single-shot shaped pulse,” Phys. Rev. Lett. 111, 050404 (2013).
[Crossref] [PubMed]

X.-J. Lu, X. Chen, A. Ruschhaupt, D. Alonso, S. Guérin, and J. G. Muga, “Fast and robust population transfer in two-level quantum systems with dephasing noise and/or systematic frequency errors,” Phys. Rev. A 88, 033406 (2013).
[Crossref]

Guéry-Odelin, D.

E. Torrontegui, S. Ibáñez, S. Martínez-Garaot, M. Modugno, A. del Campo, D. Guéry-Odelin, A. Ruschhaupt, X. Chen, and J. G. Muga, “Shortcuts to adiabaticity,” Adv. At. Mol. Opt. Phys. 62, 117–169 (2013).
[Crossref]

X. Chen, A. Ruschhaupt, S. Schmidt, A. del Campo, D. Guéry-Odelin, and J. G. Muga, “Fast Optimal Frictionless Atom Cooling in Harmonic Traps: Shortcut to Adiabaticity,” Phys. Rev. Lett. 104, 063002 (2010).
[Crossref] [PubMed]

X. Chen, I. Lizuain, A. Ruschhaupt, D. Guéry-Odelin, and J. G. Muga, “Shortcut to Adiabatic Passage in Two- and Three-Level Atoms,” Phys. Rev. Lett. 105, 123003 (2010).
[Crossref] [PubMed]

Halfmann, T.

Haus, H. A.

Hsiao, F.-C.

Hu, C.

Ibáñez, S.

E. Torrontegui, S. Ibáñez, S. Martínez-Garaot, M. Modugno, A. del Campo, D. Guéry-Odelin, A. Ruschhaupt, X. Chen, and J. G. Muga, “Shortcuts to adiabaticity,” Adv. At. Mol. Opt. Phys. 62, 117–169 (2013).
[Crossref]

S. Ibáñez, X. Chen, E. Torrontegui, J. G. Muga, and A. Ruschhaupt, “Multiple Schrödinger Pictures and Dynamics in Shortcuts to Adiabaticity,” Phys. Rev. Lett. 109, 100403 (2012).
[Crossref]

Ivanov, S. S.

Jhang, Y.-W.

Levitt, M. H.

M. H. Levitt, “Composite pulses,” Prog. Nucl. Magn. Reson. Spectrosc. 18, 61–122 (1986).
[Crossref]

Lewis, H. R.

H. R. Lewis and W. B. Riesenfeld, “An exact quantum theory of the time-dependent harmonic oscillator and of a charged particle in a time-dependent electromagnetic field,” J. Math. Phys. 10, 1458–1473 (1969).
[Crossref]

Lin, T.-Y.

Liu, K.

K. Liu, J.-H. Shi, and X.-F. Chen, “Electro-optical flat-top bandpass Solc-type filter in periodically poled lithium niobate,” Opt. Lett. 34, 1051–1053 (2009).
[Crossref] [PubMed]

K. Liu and X.-F. Chen, “Evolution of the optical polarization in a periodically poled superlattice with an external electric field,” Phys. Rev. A 80, 063808 (2009).
[Crossref]

K. Liu, J.-H. Shi, and X.-F. Chen, “Linear polarization-state generator with high precision in periodically poled lithium niobate,” Appl. Phys. Lett. 94, 101106 (2009).
[Crossref]

Lizuain, I.

X. Chen, I. Lizuain, A. Ruschhaupt, D. Guéry-Odelin, and J. G. Muga, “Shortcut to Adiabatic Passage in Two- and Three-Level Atoms,” Phys. Rev. Lett. 105, 123003 (2010).
[Crossref] [PubMed]

Longhi, S.

S. Longhi, “Quantum-optical analogies using photonic structures,” Laser and Photon. Rev. 3, 243–261 (2009).
[Crossref]

Lu, X.-J.

X.-J. Lu, J. G. Muga, X. Chen, U. G. Poschinger, F. Schmidt-Kaler, and A. Ruschhaupt, “Fast shuttling of a trapped ion in the presence of noise,” Phys. Rev. A 89, 063414 (2014).
[Crossref]

X.-J. Lu, X. Chen, A. Ruschhaupt, D. Alonso, S. Guérin, and J. G. Muga, “Fast and robust population transfer in two-level quantum systems with dephasing noise and/or systematic frequency errors,” Phys. Rev. A 88, 033406 (2013).
[Crossref]

Lu, Y.-Q.

Y.-Q. Lu, Z.-L. Wan, Q. Wang, Y.-X. Xi, and N.-B. Ming, “Electro-optic effect of periodically poled optical superlattice LiNbO3 and its applications,” Appl. Phys. Lett. 77, 3719–3721 (2000).
[Crossref]

Martínez-Garaot, S.

S. Martínez-Garaot, S.-Y. Tseng, and J. G. Muga, “Compact and high conversion efficiency mode-sorting asymmetric Y junction using shortcuts to adiabaticity,” Opt. Lett. 39, 2306–2309 (2014).
[Crossref] [PubMed]

E. Torrontegui, S. Ibáñez, S. Martínez-Garaot, M. Modugno, A. del Campo, D. Guéry-Odelin, A. Ruschhaupt, X. Chen, and J. G. Muga, “Shortcuts to adiabaticity,” Adv. At. Mol. Opt. Phys. 62, 117–169 (2013).
[Crossref]

Ming, N.-B.

Y.-Q. Lu, Z.-L. Wan, Q. Wang, Y.-X. Xi, and N.-B. Ming, “Electro-optic effect of periodically poled optical superlattice LiNbO3 and its applications,” Appl. Phys. Lett. 77, 3719–3721 (2000).
[Crossref]

Modugno, M.

E. Torrontegui, S. Ibáñez, S. Martínez-Garaot, M. Modugno, A. del Campo, D. Guéry-Odelin, A. Ruschhaupt, X. Chen, and J. G. Muga, “Shortcuts to adiabaticity,” Adv. At. Mol. Opt. Phys. 62, 117–169 (2013).
[Crossref]

Muga, J. G.

X.-J. Lu, J. G. Muga, X. Chen, U. G. Poschinger, F. Schmidt-Kaler, and A. Ruschhaupt, “Fast shuttling of a trapped ion in the presence of noise,” Phys. Rev. A 89, 063414 (2014).
[Crossref]

S. Martínez-Garaot, S.-Y. Tseng, and J. G. Muga, “Compact and high conversion efficiency mode-sorting asymmetric Y junction using shortcuts to adiabaticity,” Opt. Lett. 39, 2306–2309 (2014).
[Crossref] [PubMed]

E. Torrontegui, S. Ibáñez, S. Martínez-Garaot, M. Modugno, A. del Campo, D. Guéry-Odelin, A. Ruschhaupt, X. Chen, and J. G. Muga, “Shortcuts to adiabaticity,” Adv. At. Mol. Opt. Phys. 62, 117–169 (2013).
[Crossref]

X.-J. Lu, X. Chen, A. Ruschhaupt, D. Alonso, S. Guérin, and J. G. Muga, “Fast and robust population transfer in two-level quantum systems with dephasing noise and/or systematic frequency errors,” Phys. Rev. A 88, 033406 (2013).
[Crossref]

A. Ruschhaupt, X. Chen, D. Alonso, and J. G. Muga, “Optimally robust shortcuts to population inversion in two-level quantum systems,” New J. Phys. 14, 093040 (2012).
[Crossref]

S. Ibáñez, X. Chen, E. Torrontegui, J. G. Muga, and A. Ruschhaupt, “Multiple Schrödinger Pictures and Dynamics in Shortcuts to Adiabaticity,” Phys. Rev. Lett. 109, 100403 (2012).
[Crossref]

X. Chen, I. Lizuain, A. Ruschhaupt, D. Guéry-Odelin, and J. G. Muga, “Shortcut to Adiabatic Passage in Two- and Three-Level Atoms,” Phys. Rev. Lett. 105, 123003 (2010).
[Crossref] [PubMed]

X. Chen, A. Ruschhaupt, S. Schmidt, A. del Campo, D. Guéry-Odelin, and J. G. Muga, “Fast Optimal Frictionless Atom Cooling in Harmonic Traps: Shortcut to Adiabaticity,” Phys. Rev. Lett. 104, 063002 (2010).
[Crossref] [PubMed]

Peters, T.

Poschinger, U. G.

X.-J. Lu, J. G. Muga, X. Chen, U. G. Poschinger, F. Schmidt-Kaler, and A. Ruschhaupt, “Fast shuttling of a trapped ion in the presence of noise,” Phys. Rev. A 89, 063414 (2014).
[Crossref]

Rangelov, A. A.

Riesenfeld, W. B.

H. R. Lewis and W. B. Riesenfeld, “An exact quantum theory of the time-dependent harmonic oscillator and of a charged particle in a time-dependent electromagnetic field,” J. Math. Phys. 10, 1458–1473 (1969).
[Crossref]

Ruschhaupt, A.

X.-J. Lu, J. G. Muga, X. Chen, U. G. Poschinger, F. Schmidt-Kaler, and A. Ruschhaupt, “Fast shuttling of a trapped ion in the presence of noise,” Phys. Rev. A 89, 063414 (2014).
[Crossref]

E. Torrontegui, S. Ibáñez, S. Martínez-Garaot, M. Modugno, A. del Campo, D. Guéry-Odelin, A. Ruschhaupt, X. Chen, and J. G. Muga, “Shortcuts to adiabaticity,” Adv. At. Mol. Opt. Phys. 62, 117–169 (2013).
[Crossref]

X.-J. Lu, X. Chen, A. Ruschhaupt, D. Alonso, S. Guérin, and J. G. Muga, “Fast and robust population transfer in two-level quantum systems with dephasing noise and/or systematic frequency errors,” Phys. Rev. A 88, 033406 (2013).
[Crossref]

D. Daems, A. Ruschhaupt, D. Sugny, and S. Guérin, “Robust quantum control by a single-shot shaped pulse,” Phys. Rev. Lett. 111, 050404 (2013).
[Crossref] [PubMed]

A. Ruschhaupt, X. Chen, D. Alonso, and J. G. Muga, “Optimally robust shortcuts to population inversion in two-level quantum systems,” New J. Phys. 14, 093040 (2012).
[Crossref]

S. Ibáñez, X. Chen, E. Torrontegui, J. G. Muga, and A. Ruschhaupt, “Multiple Schrödinger Pictures and Dynamics in Shortcuts to Adiabaticity,” Phys. Rev. Lett. 109, 100403 (2012).
[Crossref]

X. Chen, I. Lizuain, A. Ruschhaupt, D. Guéry-Odelin, and J. G. Muga, “Shortcut to Adiabatic Passage in Two- and Three-Level Atoms,” Phys. Rev. Lett. 105, 123003 (2010).
[Crossref] [PubMed]

X. Chen, A. Ruschhaupt, S. Schmidt, A. del Campo, D. Guéry-Odelin, and J. G. Muga, “Fast Optimal Frictionless Atom Cooling in Harmonic Traps: Shortcut to Adiabaticity,” Phys. Rev. Lett. 104, 063002 (2010).
[Crossref] [PubMed]

Schmidt, S.

X. Chen, A. Ruschhaupt, S. Schmidt, A. del Campo, D. Guéry-Odelin, and J. G. Muga, “Fast Optimal Frictionless Atom Cooling in Harmonic Traps: Shortcut to Adiabaticity,” Phys. Rev. Lett. 104, 063002 (2010).
[Crossref] [PubMed]

Schmidt-Kaler, F.

X.-J. Lu, J. G. Muga, X. Chen, U. G. Poschinger, F. Schmidt-Kaler, and A. Ruschhaupt, “Fast shuttling of a trapped ion in the presence of noise,” Phys. Rev. A 89, 063414 (2014).
[Crossref]

Shi, J.-H.

K. Liu, J.-H. Shi, and X.-F. Chen, “Electro-optical flat-top bandpass Solc-type filter in periodically poled lithium niobate,” Opt. Lett. 34, 1051–1053 (2009).
[Crossref] [PubMed]

K. Liu, J.-H. Shi, and X.-F. Chen, “Linear polarization-state generator with high precision in periodically poled lithium niobate,” Appl. Phys. Lett. 94, 101106 (2009).
[Crossref]

Y.-M. Zhu, X.-F. Chen, J.-H. Shi, Y.-P. Chen, Y.-X. Xia, and Y.-L. Chen, “Wide-range tunable wavelength filter in periodically poled lithium niobate,” Opt. Commun. 228, 139–143 (2003).
[Crossref]

Sugny, D.

D. Daems, A. Ruschhaupt, D. Sugny, and S. Guérin, “Robust quantum control by a single-shot shaped pulse,” Phys. Rev. Lett. 111, 050404 (2013).
[Crossref] [PubMed]

Thaniyavarn, S.

Torrontegui, E.

E. Torrontegui, S. Ibáñez, S. Martínez-Garaot, M. Modugno, A. del Campo, D. Guéry-Odelin, A. Ruschhaupt, X. Chen, and J. G. Muga, “Shortcuts to adiabaticity,” Adv. At. Mol. Opt. Phys. 62, 117–169 (2013).
[Crossref]

S. Ibáñez, X. Chen, E. Torrontegui, J. G. Muga, and A. Ruschhaupt, “Multiple Schrödinger Pictures and Dynamics in Shortcuts to Adiabaticity,” Phys. Rev. Lett. 109, 100403 (2012).
[Crossref]

Tseng, S.-Y.

Vitanov, N. V.

Wan, Z.-L.

Y.-Q. Lu, Z.-L. Wan, Q. Wang, Y.-X. Xi, and N.-B. Ming, “Electro-optic effect of periodically poled optical superlattice LiNbO3 and its applications,” Appl. Phys. Lett. 77, 3719–3721 (2000).
[Crossref]

Wang, Q.

Y.-Q. Lu, Z.-L. Wan, Q. Wang, Y.-X. Xi, and N.-B. Ming, “Electro-optic effect of periodically poled optical superlattice LiNbO3 and its applications,” Appl. Phys. Lett. 77, 3719–3721 (2000).
[Crossref]

Watts, M. R.

Wen, R.-D.

Xi, Y.-X.

Y.-Q. Lu, Z.-L. Wan, Q. Wang, Y.-X. Xi, and N.-B. Ming, “Electro-optic effect of periodically poled optical superlattice LiNbO3 and its applications,” Appl. Phys. Lett. 77, 3719–3721 (2000).
[Crossref]

Xia, Y.-X.

Y.-M. Zhu, X.-F. Chen, J.-H. Shi, Y.-P. Chen, Y.-X. Xia, and Y.-L. Chen, “Wide-range tunable wavelength filter in periodically poled lithium niobate,” Opt. Commun. 228, 139–143 (2003).
[Crossref]

Zhang, Y.-X.

Y.-X. Zhang, Y.-P. Chen, and X.-F. Chen, “Polarization-based all-optical logic controlled-NOT, XOR, and XNOR gates employing electro-optic effect in periodically poled lithium niobate,” Appl. Phys. Lett. 99, 161117 (2011).
[Crossref]

Zhu, Y.-M.

Y.-M. Zhu, X.-F. Chen, J.-H. Shi, Y.-P. Chen, Y.-X. Xia, and Y.-L. Chen, “Wide-range tunable wavelength filter in periodically poled lithium niobate,” Opt. Commun. 228, 139–143 (2003).
[Crossref]

Adv. At. Mol. Opt. Phys. (1)

E. Torrontegui, S. Ibáñez, S. Martínez-Garaot, M. Modugno, A. del Campo, D. Guéry-Odelin, A. Ruschhaupt, X. Chen, and J. G. Muga, “Shortcuts to adiabaticity,” Adv. At. Mol. Opt. Phys. 62, 117–169 (2013).
[Crossref]

Appl. Phys. Lett. (3)

Y.-Q. Lu, Z.-L. Wan, Q. Wang, Y.-X. Xi, and N.-B. Ming, “Electro-optic effect of periodically poled optical superlattice LiNbO3 and its applications,” Appl. Phys. Lett. 77, 3719–3721 (2000).
[Crossref]

K. Liu, J.-H. Shi, and X.-F. Chen, “Linear polarization-state generator with high precision in periodically poled lithium niobate,” Appl. Phys. Lett. 94, 101106 (2009).
[Crossref]

Y.-X. Zhang, Y.-P. Chen, and X.-F. Chen, “Polarization-based all-optical logic controlled-NOT, XOR, and XNOR gates employing electro-optic effect in periodically poled lithium niobate,” Appl. Phys. Lett. 99, 161117 (2011).
[Crossref]

J. Math. Phys. (1)

H. R. Lewis and W. B. Riesenfeld, “An exact quantum theory of the time-dependent harmonic oscillator and of a charged particle in a time-dependent electromagnetic field,” J. Math. Phys. 10, 1458–1473 (1969).
[Crossref]

J. Opt. Soc. Am. A (1)

Laser and Photon. Rev. (1)

S. Longhi, “Quantum-optical analogies using photonic structures,” Laser and Photon. Rev. 3, 243–261 (2009).
[Crossref]

New J. Phys. (1)

A. Ruschhaupt, X. Chen, D. Alonso, and J. G. Muga, “Optimally robust shortcuts to population inversion in two-level quantum systems,” New J. Phys. 14, 093040 (2012).
[Crossref]

Opt. Commun. (2)

A. A. Rangelov, U. Gaubatz, and N. V. Vitanov, “Broadband adiabatic conversion of light polarization,” Opt. Commun. 283, 3891–3894 (2010).
[Crossref]

Y.-M. Zhu, X.-F. Chen, J.-H. Shi, Y.-P. Chen, Y.-X. Xia, and Y.-L. Chen, “Wide-range tunable wavelength filter in periodically poled lithium niobate,” Opt. Commun. 228, 139–143 (2003).
[Crossref]

Opt. Express (3)

Opt. Lett. (6)

Phys. Rev. A (3)

X.-J. Lu, J. G. Muga, X. Chen, U. G. Poschinger, F. Schmidt-Kaler, and A. Ruschhaupt, “Fast shuttling of a trapped ion in the presence of noise,” Phys. Rev. A 89, 063414 (2014).
[Crossref]

K. Liu and X.-F. Chen, “Evolution of the optical polarization in a periodically poled superlattice with an external electric field,” Phys. Rev. A 80, 063808 (2009).
[Crossref]

X.-J. Lu, X. Chen, A. Ruschhaupt, D. Alonso, S. Guérin, and J. G. Muga, “Fast and robust population transfer in two-level quantum systems with dephasing noise and/or systematic frequency errors,” Phys. Rev. A 88, 033406 (2013).
[Crossref]

Phys. Rev. Lett. (4)

D. Daems, A. Ruschhaupt, D. Sugny, and S. Guérin, “Robust quantum control by a single-shot shaped pulse,” Phys. Rev. Lett. 111, 050404 (2013).
[Crossref] [PubMed]

X. Chen, A. Ruschhaupt, S. Schmidt, A. del Campo, D. Guéry-Odelin, and J. G. Muga, “Fast Optimal Frictionless Atom Cooling in Harmonic Traps: Shortcut to Adiabaticity,” Phys. Rev. Lett. 104, 063002 (2010).
[Crossref] [PubMed]

X. Chen, I. Lizuain, A. Ruschhaupt, D. Guéry-Odelin, and J. G. Muga, “Shortcut to Adiabatic Passage in Two- and Three-Level Atoms,” Phys. Rev. Lett. 105, 123003 (2010).
[Crossref] [PubMed]

S. Ibáñez, X. Chen, E. Torrontegui, J. G. Muga, and A. Ruschhaupt, “Multiple Schrödinger Pictures and Dynamics in Shortcuts to Adiabaticity,” Phys. Rev. Lett. 109, 100403 (2012).
[Crossref]

Prog. Nucl. Magn. Reson. Spectrosc. (1)

M. H. Levitt, “Composite pulses,” Prog. Nucl. Magn. Reson. Spectrosc. 18, 61–122 (1986).
[Crossref]

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Figures (6)

Fig. 1
Fig. 1 Schematic diagram of polarization rotators in a PPLN crystal, where the electric field E is applied by voltage V, and Λ is the period of PPLN crystal.
Fig. 2
Fig. 2 (a) Functions of electric field E (solid blue line) and the period of PPLN crystal Λ (dashed red line) for LZ protocol, where Λ is re-scaled by (Λ − Λ1)/Λ1 with Λ1 = 20.2 μm. L = 2.18 mm, E = 7.66 kV/mm, and other parameters are in the maintext. (b) Dependence of conversion efficiency on the device length, where P = 0.65 at L = 2.18 mm, and L ≥ 10 mm for P > 0.99.
Fig. 3
Fig. 3 Functions of electric field E (solid blue line) and the period of PPLN crystal Λ (dashed red line) for Δ-optimal (a) and Ω-optimal (b) protocols designed by shortcuts to adiabaticity, where L = 2.18 mm and other parameters are the same as those in Fig. 2.
Fig. 4
Fig. 4 Dependence of Emax on the device length L for Δ-optimal (solid blue line) and Ω-optimal protocols (black dashed line), where the dotted red line corresponds to the parameters L = 2.18 mm and Emax = 7.66 kV/mm used in the protocol of Fig. 2(a).
Fig. 5
Fig. 5 Conversion efficiency versus input wavelength (a) and relative refractive index (b) variations for Δ-optimal protocol (solid red line) and resonant protocol (dotted-dash blue line). L = 2.18 mm and other parameters are the same as those in Fig. 2.
Fig. 6
Fig. 6 Conversion efficiency versus electric field (a) and crystal period (b) variations for Ω-optimal protocol (solid red line), Δ-optimal (black dashed line) and resonant protocols (dotted-dash blue line). L = 2.18 mm and other parameters are the same as those in Fig. 2.

Equations (26)

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d A 1 d x = i κ A 2 e i Δ β x ,
d A 2 d x = i κ * A 1 e i Δ β x ,
κ = i κ 0 = ω 2 c n 0 2 n e 2 γ 51 E n 0 n e i ( 1 cos m π ) m π ( m = 1 , 3 , 5 ) ,
H 0 ( x ) = [ 0 κ e i Δ β x κ * e i Δ β x 0 ] .
H ( x ) = 1 2 [ Δ i Ω i Ω Δ ] ,
E = c ω Ω n 0 n e n 0 2 n e 2 γ 51 m π ( 1 cos m π ) ,
Λ = 2 π m β 1 β 2 Δ .
| 2 κ 0 Δ β ˙ 2 κ ˙ 0 Δ β ( 4 κ 0 2 + Δ β 2 ) 3 / 2 | 1 ,
I ( x ) = Ω 0 2 [ cos θ sin θ e i β sin θ e i β cos θ ] ,
| ϕ + ( x ) = ( cos ( θ / 2 ) e i β sin ( θ / 2 ) ) ,
| ϕ ( x ) = ( sin ( θ / 2 ) cos ( θ / 2 ) e i β ) .
γ ˙ ± ( x ) = ± 1 2 ( β ˙ θ ˙ tan β sin θ ) .
Ω = θ ˙ / cos β ,
Δ = β ˙ + θ ˙ tan β cot θ ,
θ ( 0 ) = π and θ ( L ) = 0 .
θ ˙ ( 0 ) = 0 , θ ˙ ( L ) = 0 ,
q Δ = 1 2 2 P ( L ) δ 2 | δ = 0 ,
q Δ = 1 4 | 0 L d x sin θ e i m ( x ) | 2 ,
θ = π 2 [ 1 sin π ( 2 x L ) 2 L ] ,
β = sin 1 ( 2 M sin θ 1 + 4 M 2 sin 2 θ ) .
Ω = θ ˙ 1 + 4 M 2 sin 2 θ ,
Δ = 2 θ ˙ cos θ [ M + 1 4 ζ + 6 ζ cos ( 2 θ ) 1 + 4 M 2 sin 2 θ ] ,
Ω max = 1 + 4 ( 1 2 ζ ) 2 π 2 2 L 1 L ,
E max = π c 2 ω Ω max n 0 n e n 0 2 n e 2 γ 51 .
q Ω = 1 4 | 0 L d x θ ˙ sin 2 θ e im ( x ) | 2 ,
β = arctan ( 4 sin 3 θ ) ,

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