M. P. Hokmabadi, N. S. Nye, R. El-Ganainy, D. N. Christodoulides, and M. Khajavikhan, “Supersymmetric laser arrays,” Science 363, 623–626 (2019).
[Crossref]
A. J. Kollár, M. Fitzpatrick, and A. A. Houck, “Hyperbolic lattices in circuit quantum electrodynamics,” Nature 571, 45–50 (2019).
[Crossref]
B. Midya, H. Zhao, X. Qiao, P. Miao, W. Walasik, Z. Zhang, N. M. Litchinitser, and L. Feng, “Supersymmetric microring laser arrays,” Photon. Res. 7, 363–367 (2019).
[Crossref]
S. Yu, X. Piao, J. Hong, and N. Park, “Interdimensional optical isospectrality inspired by graph networks,” Optica 3, 836–839 (2016).
[Crossref]
M. H. Teimourpour, L. Ge, D. N. Christodoulides, and R. El-Ganainy, “Non-Hermitian engineering of single mode two dimensional laser arrays,” Sci. Rep. 6, 33253 (2016).
[Crossref]
T. Meany, M. Gräfe, R. Heilmann, A. Perez-Leija, S. Gross, M. J. Steel, M. J. Withford, and A. Szameit, “Laser written circuits for quantum photonics,” Laser Photon. Rev. 9, 363–384 (2015).
[Crossref]
S. Longhi, “Supersymmetric Bragg gratings,” J. Opt. 17, 045803 (2015).
[Crossref]
R. El-Ganainy, L. Ge, M. Khajavikhan, and D. N. Christodoulides, “Supersymmetric laser arrays,” Phys. Rev. A 92, 033818 (2015).
[Crossref]
S. Longhi, “Supersymmetric transparent optical intersections,” Opt. Lett. 40, 463–466 (2015).
[Crossref]
M.-A. Miri, M. Heinrich, and D. N. Christodoulides, “SUSY-inspired one-dimensional transformation optics,” Optica 1, 89–95 (2014).
[Crossref]
M. Heinrich, M.-A. Miri, S. Stützer, S. Nolte, D. N. Christodoulides, and A. Szameit, “Observation of supersymmetric scattering in photonic lattices,” Opt. Lett. 39, 6130–6133 (2014).
[Crossref]
M. Heinrich, M.-A. Miri, S. Stützer, R. El-Ganainy, S. Nolte, A. Szameit, and D. N. Christodoulides, “Supersymmetric mode converters,” Nat. Commun. 5, 3698 (2014).
[Crossref]
M. H. Teimourpour, R. El-Ganainy, A. Eisfeld, A. Szameit, and D. N. Christodoulides, “Light transport in PT-invariant photonic structures with hidden symmetries,” Phys. Rev. A 90, 053817 (2014).
[Crossref]
M.-A. Miri, M. Heinrich, R. El-Ganainy, and D. N. Christodoulides, “Supersymmetric optical structures,” Phys. Rev. Lett. 110, 233902 (2013).
[Crossref]
R. El-Ganainy, K. G. Makris, and D. N. Christodoulides, “Local PT invariance and supersymmetric parametric oscillators,” Phys. Rev. A 86, 033813 (2012).
[Crossref]
F. Cooper, A. Khare, and U. Sukhatme, “Supersymmetry and quantum mechanics,” Phys. Rep. 251, 267–385 (1995).
[Crossref]
A. Lahiri, P. K. Roy, and B. Bagchi, “Supersymmetry in quantum mechanics,” Int. J. Mod. Phys. A 05, 1383–1456 (1990).
[Crossref]
F. Cooper and B. Freedman, “Aspects of supersymmetric quantum mechanics,” Ann. Phys. 146, 262–288 (1983).
[Crossref]
E. Witten, “Dynamical breaking of supersymmetry,” Nucl. Phys. B 188, 513–554 (1981).
[Crossref]
P. Ramond, “Dual theory for free fermions,” Phys. Rev. D 3, 2415–2418 (1971).
[Crossref]
A. Neveu and J. H. Schwarz, “Factorizable dual model of pions,” Nucl. Phys. B 31, 86–112 (1971).
[Crossref]
A. Lahiri, P. K. Roy, and B. Bagchi, “Supersymmetry in quantum mechanics,” Int. J. Mod. Phys. A 05, 1383–1456 (1990).
[Crossref]
M. P. Hokmabadi, N. S. Nye, R. El-Ganainy, D. N. Christodoulides, and M. Khajavikhan, “Supersymmetric laser arrays,” Science 363, 623–626 (2019).
[Crossref]
M. H. Teimourpour, L. Ge, D. N. Christodoulides, and R. El-Ganainy, “Non-Hermitian engineering of single mode two dimensional laser arrays,” Sci. Rep. 6, 33253 (2016).
[Crossref]
R. El-Ganainy, L. Ge, M. Khajavikhan, and D. N. Christodoulides, “Supersymmetric laser arrays,” Phys. Rev. A 92, 033818 (2015).
[Crossref]
M. Heinrich, M.-A. Miri, S. Stützer, R. El-Ganainy, S. Nolte, A. Szameit, and D. N. Christodoulides, “Supersymmetric mode converters,” Nat. Commun. 5, 3698 (2014).
[Crossref]
M. H. Teimourpour, R. El-Ganainy, A. Eisfeld, A. Szameit, and D. N. Christodoulides, “Light transport in PT-invariant photonic structures with hidden symmetries,” Phys. Rev. A 90, 053817 (2014).
[Crossref]
M.-A. Miri, M. Heinrich, and D. N. Christodoulides, “SUSY-inspired one-dimensional transformation optics,” Optica 1, 89–95 (2014).
[Crossref]
M. Heinrich, M.-A. Miri, S. Stützer, S. Nolte, D. N. Christodoulides, and A. Szameit, “Observation of supersymmetric scattering in photonic lattices,” Opt. Lett. 39, 6130–6133 (2014).
[Crossref]
M.-A. Miri, M. Heinrich, R. El-Ganainy, and D. N. Christodoulides, “Supersymmetric optical structures,” Phys. Rev. Lett. 110, 233902 (2013).
[Crossref]
R. El-Ganainy, K. G. Makris, and D. N. Christodoulides, “Local PT invariance and supersymmetric parametric oscillators,” Phys. Rev. A 86, 033813 (2012).
[Crossref]
F. Cooper, A. Khare, and U. Sukhatme, “Supersymmetry and quantum mechanics,” Phys. Rep. 251, 267–385 (1995).
[Crossref]
F. Cooper and B. Freedman, “Aspects of supersymmetric quantum mechanics,” Ann. Phys. 146, 262–288 (1983).
[Crossref]
M. H. Teimourpour, R. El-Ganainy, A. Eisfeld, A. Szameit, and D. N. Christodoulides, “Light transport in PT-invariant photonic structures with hidden symmetries,” Phys. Rev. A 90, 053817 (2014).
[Crossref]
M. P. Hokmabadi, N. S. Nye, R. El-Ganainy, D. N. Christodoulides, and M. Khajavikhan, “Supersymmetric laser arrays,” Science 363, 623–626 (2019).
[Crossref]
M. H. Teimourpour, L. Ge, D. N. Christodoulides, and R. El-Ganainy, “Non-Hermitian engineering of single mode two dimensional laser arrays,” Sci. Rep. 6, 33253 (2016).
[Crossref]
R. El-Ganainy, L. Ge, M. Khajavikhan, and D. N. Christodoulides, “Supersymmetric laser arrays,” Phys. Rev. A 92, 033818 (2015).
[Crossref]
M. Heinrich, M.-A. Miri, S. Stützer, R. El-Ganainy, S. Nolte, A. Szameit, and D. N. Christodoulides, “Supersymmetric mode converters,” Nat. Commun. 5, 3698 (2014).
[Crossref]
M. H. Teimourpour, R. El-Ganainy, A. Eisfeld, A. Szameit, and D. N. Christodoulides, “Light transport in PT-invariant photonic structures with hidden symmetries,” Phys. Rev. A 90, 053817 (2014).
[Crossref]
M.-A. Miri, M. Heinrich, R. El-Ganainy, and D. N. Christodoulides, “Supersymmetric optical structures,” Phys. Rev. Lett. 110, 233902 (2013).
[Crossref]
R. El-Ganainy, K. G. Makris, and D. N. Christodoulides, “Local PT invariance and supersymmetric parametric oscillators,” Phys. Rev. A 86, 033813 (2012).
[Crossref]
M. H. Teimourpour, Q. Zhong, M. Khajavikhan, and R. El-Ganainy, Higher Order Exceptional Points in Discrete Photonics Platforms (Springer, 2018), pp. 261–275.
B. Midya, H. Zhao, X. Qiao, P. Miao, W. Walasik, Z. Zhang, N. M. Litchinitser, and L. Feng, “Supersymmetric microring laser arrays,” Photon. Res. 7, 363–367 (2019).
[Crossref]
W. Walasik, B. Midya, L. Feng, and N. M. Litchinitser, “Supersymmetry-guided method for mode selection and optimization in coupled systems,” Opt. Lett. 43, 3758–3761 (2018).
[Crossref]
A. J. Kollár, M. Fitzpatrick, and A. A. Houck, “Hyperbolic lattices in circuit quantum electrodynamics,” Nature 571, 45–50 (2019).
[Crossref]
F. Cooper and B. Freedman, “Aspects of supersymmetric quantum mechanics,” Ann. Phys. 146, 262–288 (1983).
[Crossref]
M. H. Teimourpour, L. Ge, D. N. Christodoulides, and R. El-Ganainy, “Non-Hermitian engineering of single mode two dimensional laser arrays,” Sci. Rep. 6, 33253 (2016).
[Crossref]
R. El-Ganainy, L. Ge, M. Khajavikhan, and D. N. Christodoulides, “Supersymmetric laser arrays,” Phys. Rev. A 92, 033818 (2015).
[Crossref]
T. Meany, M. Gräfe, R. Heilmann, A. Perez-Leija, S. Gross, M. J. Steel, M. J. Withford, and A. Szameit, “Laser written circuits for quantum photonics,” Laser Photon. Rev. 9, 363–384 (2015).
[Crossref]
T. Meany, M. Gräfe, R. Heilmann, A. Perez-Leija, S. Gross, M. J. Steel, M. J. Withford, and A. Szameit, “Laser written circuits for quantum photonics,” Laser Photon. Rev. 9, 363–384 (2015).
[Crossref]
T. Meany, M. Gräfe, R. Heilmann, A. Perez-Leija, S. Gross, M. J. Steel, M. J. Withford, and A. Szameit, “Laser written circuits for quantum photonics,” Laser Photon. Rev. 9, 363–384 (2015).
[Crossref]
M. Heinrich, M.-A. Miri, S. Stützer, R. El-Ganainy, S. Nolte, A. Szameit, and D. N. Christodoulides, “Supersymmetric mode converters,” Nat. Commun. 5, 3698 (2014).
[Crossref]
M. Heinrich, M.-A. Miri, S. Stützer, S. Nolte, D. N. Christodoulides, and A. Szameit, “Observation of supersymmetric scattering in photonic lattices,” Opt. Lett. 39, 6130–6133 (2014).
[Crossref]
M.-A. Miri, M. Heinrich, and D. N. Christodoulides, “SUSY-inspired one-dimensional transformation optics,” Optica 1, 89–95 (2014).
[Crossref]
M.-A. Miri, M. Heinrich, R. El-Ganainy, and D. N. Christodoulides, “Supersymmetric optical structures,” Phys. Rev. Lett. 110, 233902 (2013).
[Crossref]
M. P. Hokmabadi, N. S. Nye, R. El-Ganainy, D. N. Christodoulides, and M. Khajavikhan, “Supersymmetric laser arrays,” Science 363, 623–626 (2019).
[Crossref]
W. C. Schieve and L. P. Horwitz, Quantum Statistical Mechanics (Cambridge University, 2009).
A. J. Kollár, M. Fitzpatrick, and A. A. Houck, “Hyperbolic lattices in circuit quantum electrodynamics,” Nature 571, 45–50 (2019).
[Crossref]
M. P. Hokmabadi, N. S. Nye, R. El-Ganainy, D. N. Christodoulides, and M. Khajavikhan, “Supersymmetric laser arrays,” Science 363, 623–626 (2019).
[Crossref]
R. El-Ganainy, L. Ge, M. Khajavikhan, and D. N. Christodoulides, “Supersymmetric laser arrays,” Phys. Rev. A 92, 033818 (2015).
[Crossref]
M. H. Teimourpour, Q. Zhong, M. Khajavikhan, and R. El-Ganainy, Higher Order Exceptional Points in Discrete Photonics Platforms (Springer, 2018), pp. 261–275.
F. Cooper, A. Khare, and U. Sukhatme, “Supersymmetry and quantum mechanics,” Phys. Rep. 251, 267–385 (1995).
[Crossref]
A. J. Kollár, M. Fitzpatrick, and A. A. Houck, “Hyperbolic lattices in circuit quantum electrodynamics,” Nature 571, 45–50 (2019).
[Crossref]
A. Lahiri, P. K. Roy, and B. Bagchi, “Supersymmetry in quantum mechanics,” Int. J. Mod. Phys. A 05, 1383–1456 (1990).
[Crossref]
B. Midya, H. Zhao, X. Qiao, P. Miao, W. Walasik, Z. Zhang, N. M. Litchinitser, and L. Feng, “Supersymmetric microring laser arrays,” Photon. Res. 7, 363–367 (2019).
[Crossref]
W. Walasik, B. Midya, L. Feng, and N. M. Litchinitser, “Supersymmetry-guided method for mode selection and optimization in coupled systems,” Opt. Lett. 43, 3758–3761 (2018).
[Crossref]
R. El-Ganainy, K. G. Makris, and D. N. Christodoulides, “Local PT invariance and supersymmetric parametric oscillators,” Phys. Rev. A 86, 033813 (2012).
[Crossref]
T. Meany, M. Gräfe, R. Heilmann, A. Perez-Leija, S. Gross, M. J. Steel, M. J. Withford, and A. Szameit, “Laser written circuits for quantum photonics,” Laser Photon. Rev. 9, 363–384 (2015).
[Crossref]
B. Midya, H. Zhao, X. Qiao, P. Miao, W. Walasik, Z. Zhang, N. M. Litchinitser, and L. Feng, “Supersymmetric microring laser arrays,” Photon. Res. 7, 363–367 (2019).
[Crossref]
B. Midya, H. Zhao, X. Qiao, P. Miao, W. Walasik, Z. Zhang, N. M. Litchinitser, and L. Feng, “Supersymmetric microring laser arrays,” Photon. Res. 7, 363–367 (2019).
[Crossref]
W. Walasik, B. Midya, L. Feng, and N. M. Litchinitser, “Supersymmetry-guided method for mode selection and optimization in coupled systems,” Opt. Lett. 43, 3758–3761 (2018).
[Crossref]
M.-A. Miri, M. Heinrich, and D. N. Christodoulides, “SUSY-inspired one-dimensional transformation optics,” Optica 1, 89–95 (2014).
[Crossref]
M. Heinrich, M.-A. Miri, S. Stützer, S. Nolte, D. N. Christodoulides, and A. Szameit, “Observation of supersymmetric scattering in photonic lattices,” Opt. Lett. 39, 6130–6133 (2014).
[Crossref]
M. Heinrich, M.-A. Miri, S. Stützer, R. El-Ganainy, S. Nolte, A. Szameit, and D. N. Christodoulides, “Supersymmetric mode converters,” Nat. Commun. 5, 3698 (2014).
[Crossref]
M.-A. Miri, M. Heinrich, R. El-Ganainy, and D. N. Christodoulides, “Supersymmetric optical structures,” Phys. Rev. Lett. 110, 233902 (2013).
[Crossref]
A. Neveu and J. H. Schwarz, “Factorizable dual model of pions,” Nucl. Phys. B 31, 86–112 (1971).
[Crossref]
M. Heinrich, M.-A. Miri, S. Stützer, R. El-Ganainy, S. Nolte, A. Szameit, and D. N. Christodoulides, “Supersymmetric mode converters,” Nat. Commun. 5, 3698 (2014).
[Crossref]
M. Heinrich, M.-A. Miri, S. Stützer, S. Nolte, D. N. Christodoulides, and A. Szameit, “Observation of supersymmetric scattering in photonic lattices,” Opt. Lett. 39, 6130–6133 (2014).
[Crossref]
A. Szameit, J. Burghoff, T. Pertsch, S. Nolte, A. Tünnermann, and F. Lederer, “Two-dimensional soliton in cubic fs laser written waveguide arrays in fused silica,” Opt. Express 14, 6055–6062 (2006).
[Crossref]
M. P. Hokmabadi, N. S. Nye, R. El-Ganainy, D. N. Christodoulides, and M. Khajavikhan, “Supersymmetric laser arrays,” Science 363, 623–626 (2019).
[Crossref]
T. Meany, M. Gräfe, R. Heilmann, A. Perez-Leija, S. Gross, M. J. Steel, M. J. Withford, and A. Szameit, “Laser written circuits for quantum photonics,” Laser Photon. Rev. 9, 363–384 (2015).
[Crossref]
B. Midya, H. Zhao, X. Qiao, P. Miao, W. Walasik, Z. Zhang, N. M. Litchinitser, and L. Feng, “Supersymmetric microring laser arrays,” Photon. Res. 7, 363–367 (2019).
[Crossref]
P. Ramond, “Dual theory for free fermions,” Phys. Rev. D 3, 2415–2418 (1971).
[Crossref]
A. Lahiri, P. K. Roy, and B. Bagchi, “Supersymmetry in quantum mechanics,” Int. J. Mod. Phys. A 05, 1383–1456 (1990).
[Crossref]
W. C. Schieve and L. P. Horwitz, Quantum Statistical Mechanics (Cambridge University, 2009).
A. Neveu and J. H. Schwarz, “Factorizable dual model of pions,” Nucl. Phys. B 31, 86–112 (1971).
[Crossref]
T. Meany, M. Gräfe, R. Heilmann, A. Perez-Leija, S. Gross, M. J. Steel, M. J. Withford, and A. Szameit, “Laser written circuits for quantum photonics,” Laser Photon. Rev. 9, 363–384 (2015).
[Crossref]
G. Strang, Introduction to Linear Algebra, 5th ed. (Wellesley-Cambridge, 2016).
M. Heinrich, M.-A. Miri, S. Stützer, R. El-Ganainy, S. Nolte, A. Szameit, and D. N. Christodoulides, “Supersymmetric mode converters,” Nat. Commun. 5, 3698 (2014).
[Crossref]
M. Heinrich, M.-A. Miri, S. Stützer, S. Nolte, D. N. Christodoulides, and A. Szameit, “Observation of supersymmetric scattering in photonic lattices,” Opt. Lett. 39, 6130–6133 (2014).
[Crossref]
F. Cooper, A. Khare, and U. Sukhatme, “Supersymmetry and quantum mechanics,” Phys. Rep. 251, 267–385 (1995).
[Crossref]
T. Meany, M. Gräfe, R. Heilmann, A. Perez-Leija, S. Gross, M. J. Steel, M. J. Withford, and A. Szameit, “Laser written circuits for quantum photonics,” Laser Photon. Rev. 9, 363–384 (2015).
[Crossref]
M. H. Teimourpour, R. El-Ganainy, A. Eisfeld, A. Szameit, and D. N. Christodoulides, “Light transport in PT-invariant photonic structures with hidden symmetries,” Phys. Rev. A 90, 053817 (2014).
[Crossref]
M. Heinrich, M.-A. Miri, S. Stützer, R. El-Ganainy, S. Nolte, A. Szameit, and D. N. Christodoulides, “Supersymmetric mode converters,” Nat. Commun. 5, 3698 (2014).
[Crossref]
M. Heinrich, M.-A. Miri, S. Stützer, S. Nolte, D. N. Christodoulides, and A. Szameit, “Observation of supersymmetric scattering in photonic lattices,” Opt. Lett. 39, 6130–6133 (2014).
[Crossref]
A. Szameit, J. Burghoff, T. Pertsch, S. Nolte, A. Tünnermann, and F. Lederer, “Two-dimensional soliton in cubic fs laser written waveguide arrays in fused silica,” Opt. Express 14, 6055–6062 (2006).
[Crossref]
M. H. Teimourpour, L. Ge, D. N. Christodoulides, and R. El-Ganainy, “Non-Hermitian engineering of single mode two dimensional laser arrays,” Sci. Rep. 6, 33253 (2016).
[Crossref]
M. H. Teimourpour, R. El-Ganainy, A. Eisfeld, A. Szameit, and D. N. Christodoulides, “Light transport in PT-invariant photonic structures with hidden symmetries,” Phys. Rev. A 90, 053817 (2014).
[Crossref]
M. H. Teimourpour, Q. Zhong, M. Khajavikhan, and R. El-Ganainy, Higher Order Exceptional Points in Discrete Photonics Platforms (Springer, 2018), pp. 261–275.
B. Midya, H. Zhao, X. Qiao, P. Miao, W. Walasik, Z. Zhang, N. M. Litchinitser, and L. Feng, “Supersymmetric microring laser arrays,” Photon. Res. 7, 363–367 (2019).
[Crossref]
W. Walasik, B. Midya, L. Feng, and N. M. Litchinitser, “Supersymmetry-guided method for mode selection and optimization in coupled systems,” Opt. Lett. 43, 3758–3761 (2018).
[Crossref]
T. Meany, M. Gräfe, R. Heilmann, A. Perez-Leija, S. Gross, M. J. Steel, M. J. Withford, and A. Szameit, “Laser written circuits for quantum photonics,” Laser Photon. Rev. 9, 363–384 (2015).
[Crossref]
E. Witten, “Dynamical breaking of supersymmetry,” Nucl. Phys. B 188, 513–554 (1981).
[Crossref]
B. Midya, H. Zhao, X. Qiao, P. Miao, W. Walasik, Z. Zhang, N. M. Litchinitser, and L. Feng, “Supersymmetric microring laser arrays,” Photon. Res. 7, 363–367 (2019).
[Crossref]
B. Midya, H. Zhao, X. Qiao, P. Miao, W. Walasik, Z. Zhang, N. M. Litchinitser, and L. Feng, “Supersymmetric microring laser arrays,” Photon. Res. 7, 363–367 (2019).
[Crossref]
M. H. Teimourpour, Q. Zhong, M. Khajavikhan, and R. El-Ganainy, Higher Order Exceptional Points in Discrete Photonics Platforms (Springer, 2018), pp. 261–275.
F. Cooper and B. Freedman, “Aspects of supersymmetric quantum mechanics,” Ann. Phys. 146, 262–288 (1983).
[Crossref]
A. Lahiri, P. K. Roy, and B. Bagchi, “Supersymmetry in quantum mechanics,” Int. J. Mod. Phys. A 05, 1383–1456 (1990).
[Crossref]
S. Longhi, “Supersymmetric Bragg gratings,” J. Opt. 17, 045803 (2015).
[Crossref]
T. Meany, M. Gräfe, R. Heilmann, A. Perez-Leija, S. Gross, M. J. Steel, M. J. Withford, and A. Szameit, “Laser written circuits for quantum photonics,” Laser Photon. Rev. 9, 363–384 (2015).
[Crossref]
M. Heinrich, M.-A. Miri, S. Stützer, R. El-Ganainy, S. Nolte, A. Szameit, and D. N. Christodoulides, “Supersymmetric mode converters,” Nat. Commun. 5, 3698 (2014).
[Crossref]
A. J. Kollár, M. Fitzpatrick, and A. A. Houck, “Hyperbolic lattices in circuit quantum electrodynamics,” Nature 571, 45–50 (2019).
[Crossref]
A. Neveu and J. H. Schwarz, “Factorizable dual model of pions,” Nucl. Phys. B 31, 86–112 (1971).
[Crossref]
E. Witten, “Dynamical breaking of supersymmetry,” Nucl. Phys. B 188, 513–554 (1981).
[Crossref]
L. Shah, A. Y. Arai, S. M. Eaton, and P. R. Herman, “Waveguide writing in fused silica with a femtosecond fiber laser at 522 nm and 1 MHz repetition rate,” Opt. Express 13, 1999–2006 (2005).
[Crossref]
A. Szameit, J. Burghoff, T. Pertsch, S. Nolte, A. Tünnermann, and F. Lederer, “Two-dimensional soliton in cubic fs laser written waveguide arrays in fused silica,” Opt. Express 14, 6055–6062 (2006).
[Crossref]
W. Walasik, B. Midya, L. Feng, and N. M. Litchinitser, “Supersymmetry-guided method for mode selection and optimization in coupled systems,” Opt. Lett. 43, 3758–3761 (2018).
[Crossref]
M. Heinrich, M.-A. Miri, S. Stützer, S. Nolte, D. N. Christodoulides, and A. Szameit, “Observation of supersymmetric scattering in photonic lattices,” Opt. Lett. 39, 6130–6133 (2014).
[Crossref]
S. Longhi, “Supersymmetric transparent optical intersections,” Opt. Lett. 40, 463–466 (2015).
[Crossref]
M.-A. Miri, M. Heinrich, and D. N. Christodoulides, “SUSY-inspired one-dimensional transformation optics,” Optica 1, 89–95 (2014).
[Crossref]
S. Yu, X. Piao, J. Hong, and N. Park, “Interdimensional optical isospectrality inspired by graph networks,” Optica 3, 836–839 (2016).
[Crossref]
B. Midya, H. Zhao, X. Qiao, P. Miao, W. Walasik, Z. Zhang, N. M. Litchinitser, and L. Feng, “Supersymmetric microring laser arrays,” Photon. Res. 7, 363–367 (2019).
[Crossref]
F. Cooper, A. Khare, and U. Sukhatme, “Supersymmetry and quantum mechanics,” Phys. Rep. 251, 267–385 (1995).
[Crossref]
R. El-Ganainy, K. G. Makris, and D. N. Christodoulides, “Local PT invariance and supersymmetric parametric oscillators,” Phys. Rev. A 86, 033813 (2012).
[Crossref]
R. El-Ganainy, L. Ge, M. Khajavikhan, and D. N. Christodoulides, “Supersymmetric laser arrays,” Phys. Rev. A 92, 033818 (2015).
[Crossref]
M. H. Teimourpour, R. El-Ganainy, A. Eisfeld, A. Szameit, and D. N. Christodoulides, “Light transport in PT-invariant photonic structures with hidden symmetries,” Phys. Rev. A 90, 053817 (2014).
[Crossref]
P. Ramond, “Dual theory for free fermions,” Phys. Rev. D 3, 2415–2418 (1971).
[Crossref]
M.-A. Miri, M. Heinrich, R. El-Ganainy, and D. N. Christodoulides, “Supersymmetric optical structures,” Phys. Rev. Lett. 110, 233902 (2013).
[Crossref]
M. H. Teimourpour, L. Ge, D. N. Christodoulides, and R. El-Ganainy, “Non-Hermitian engineering of single mode two dimensional laser arrays,” Sci. Rep. 6, 33253 (2016).
[Crossref]
M. P. Hokmabadi, N. S. Nye, R. El-Ganainy, D. N. Christodoulides, and M. Khajavikhan, “Supersymmetric laser arrays,” Science 363, 623–626 (2019).
[Crossref]
G. Strang, Introduction to Linear Algebra, 5th ed. (Wellesley-Cambridge, 2016).
M. H. Teimourpour, Q. Zhong, M. Khajavikhan, and R. El-Ganainy, Higher Order Exceptional Points in Discrete Photonics Platforms (Springer, 2018), pp. 261–275.
W. C. Schieve and L. P. Horwitz, Quantum Statistical Mechanics (Cambridge University, 2009).