520
A. Karabchevsky et al.
In conclusion, although the PT symmetry and non-Hermiticity in integrated photonics research has already established novel ways of utilising gain, loss and their
coupling to control light transport, there is still a room for new direction to go, when
considering a Purcell effect in PT-symmetric waveguides.
Acknowledgements AK acknowledges the support of Israel Science Foundation (ISF) Grant no.
2598/20.
References
1. A. Zyablovsky, A.P. Vinogradov, A.A. Pukhov, A.V. Dorofeenko, A.A. Lisyansky, PhysicsUspekhi 57(11), 1063 (2014)
2. C.M. Bender, S. Boettcher, Phys. Rev. Lett. 80(24), 5243 (1998). https://doi.org/10.1103/
PhysRevLett.80.5243
3. S. Weigert, Phys. Rev. A 68(6), 062111 (2003). https://doi.org/10.1103/PhysRevA.68.062111
4. A. Mostafazadeh, Int. J. Geometric Methods Modern Phys. 07(07), 1191 (2010). https://doi.
org/10.1142/S0219887810004816
5. N. Moiseyev, Non-Hermitian Quantum Mechanics (Cambridge University Press, Cambridge;
New York, 2011)
6. D.C. Brody, J. Phys. A: Math. Theor. 49(10), 10LT03 (2016). 10.1088/17518113/49/10/10LT03
7. G.L. Pedrola, Beam Propagation Method for Design of Optical Waveguide Devices, 1st edn.
(Wiley, New York, 2015)
8. A.W. Snyder, J.D. Love, Optical Waveguide Theory (Springer, US, Boston, MA, 1984)
9. G.K. Svendsen, M.W. Haakestad, J. Skaar, Physical Review A 87, 013838 (2013). https://doi.
org/10.1103/PhysRevA.87.013838
10. B. Wu, Z. Wang, W. Chen, Z. Xiong, J. Xu, Y. Chen, Opt. Exp. 27(13), 17648 (2019). https://
doi.org/10.1364/OE.27.017648
11. K. Petermann, IEEE J. Quantum Electron. 15(7), 566 (1979). https://doi.org/10.1109/JQE.
1979.1070064
12. A.E. Siegman, Phys. Rev. A 39, 1253 (1989). https://doi.org/10.1103/PhysRevA.39.1253
13. M.V. Berry, J. Modern Opt. 50(1), 63 (2003). https://doi.org/10.1080/09500340308234532
14. G. Yoo, H.S. Sim, H. Schomerus, Phys. Rev. A 84(6), 063833 (2011). https://doi.org/10.1103/
PhysRevA.84.063833
15. A. Pick, B. Zhen, O.D. Miller, C.W. Hsu, F. Hernandez, A.W. Rodriguez, M. Soljaˇ ci´ c, S.G.
Johnson, Opt. Exp. 25(11), 12325 (2017). https://doi.org/10.1364/OE.25.012325
16. ¸
S. Özdemir, S. Rotter, F. Nori, L. Yang, Nat. Mater.18(8), 783 (2019)
17. R. El-Ganainy, K.G. Makris, D.N. Christodoulides, Z.H. Musslimani, Opt. Lett. 32(17), 2632
(2007). https://doi.org/10.1364/OL.32.002632
18. Shun-Lien Chuang, J. Lightwave Technol. 5(1), 5 (1987)
19. C.E. Rüter, K.G. Makris, R. El-Ganainy, D.N. Christodoulides, M. Segev, D. Kip, Nat.
Phys.6(3), 192 (2010). https://doi.org/10.1038/nphys1515
20. A. Guo, G.J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G.A.
Siviloglou, D.N. Christodoulides, Phys. Rev. Lett. 103, 093902 (2009). https://doi.org/10.
1103/PhysRevLett.103.093902
21. A.Y. Song, Y. Shi, Q. Lin, S. Fan, Phys. Rev. A 99, 013824 (2019). https://doi.org/10.1103/
PhysRevA.99.013824
22. W. Wang, L.Q. Wang, R.D. Xue, H.L. Chen, R.P. Guo, Y. Liu, J. Chen, Phys. Rev. Lett. 119,
7 (2017). https://doi.org/10.1103/PhysRevLett.119.077401
A. Karabchevsky et al.
In conclusion, although the PT symmetry and non-Hermiticity in integrated photonics research has already established novel ways of utilising gain, loss and their
coupling to control light transport, there is still a room for new direction to go, when
considering a Purcell effect in PT-symmetric waveguides.
Acknowledgements AK acknowledges the support of Israel Science Foundation (ISF) Grant no.
2598/20.
References
1. A. Zyablovsky, A.P. Vinogradov, A.A. Pukhov, A.V. Dorofeenko, A.A. Lisyansky, PhysicsUspekhi 57(11), 1063 (2014)
2. C.M. Bender, S. Boettcher, Phys. Rev. Lett. 80(24), 5243 (1998). https://doi.org/10.1103/
PhysRevLett.80.5243
3. S. Weigert, Phys. Rev. A 68(6), 062111 (2003). https://doi.org/10.1103/PhysRevA.68.062111
4. A. Mostafazadeh, Int. J. Geometric Methods Modern Phys. 07(07), 1191 (2010). https://doi.
org/10.1142/S0219887810004816
5. N. Moiseyev, Non-Hermitian Quantum Mechanics (Cambridge University Press, Cambridge;
New York, 2011)
6. D.C. Brody, J. Phys. A: Math. Theor. 49(10), 10LT03 (2016). 10.1088/17518113/49/10/10LT03
7. G.L. Pedrola, Beam Propagation Method for Design of Optical Waveguide Devices, 1st edn.
(Wiley, New York, 2015)
8. A.W. Snyder, J.D. Love, Optical Waveguide Theory (Springer, US, Boston, MA, 1984)
9. G.K. Svendsen, M.W. Haakestad, J. Skaar, Physical Review A 87, 013838 (2013). https://doi.
org/10.1103/PhysRevA.87.013838
10. B. Wu, Z. Wang, W. Chen, Z. Xiong, J. Xu, Y. Chen, Opt. Exp. 27(13), 17648 (2019). https://
doi.org/10.1364/OE.27.017648
11. K. Petermann, IEEE J. Quantum Electron. 15(7), 566 (1979). https://doi.org/10.1109/JQE.
1979.1070064
12. A.E. Siegman, Phys. Rev. A 39, 1253 (1989). https://doi.org/10.1103/PhysRevA.39.1253
13. M.V. Berry, J. Modern Opt. 50(1), 63 (2003). https://doi.org/10.1080/09500340308234532
14. G. Yoo, H.S. Sim, H. Schomerus, Phys. Rev. A 84(6), 063833 (2011). https://doi.org/10.1103/
PhysRevA.84.063833
15. A. Pick, B. Zhen, O.D. Miller, C.W. Hsu, F. Hernandez, A.W. Rodriguez, M. Soljaˇ ci´ c, S.G.
Johnson, Opt. Exp. 25(11), 12325 (2017). https://doi.org/10.1364/OE.25.012325
16. ¸
S. Özdemir, S. Rotter, F. Nori, L. Yang, Nat. Mater.18(8), 783 (2019)
17. R. El-Ganainy, K.G. Makris, D.N. Christodoulides, Z.H. Musslimani, Opt. Lett. 32(17), 2632
(2007). https://doi.org/10.1364/OL.32.002632
18. Shun-Lien Chuang, J. Lightwave Technol. 5(1), 5 (1987)
19. C.E. Rüter, K.G. Makris, R. El-Ganainy, D.N. Christodoulides, M. Segev, D. Kip, Nat.
Phys.6(3), 192 (2010). https://doi.org/10.1038/nphys1515
20. A. Guo, G.J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G.A.
Siviloglou, D.N. Christodoulides, Phys. Rev. Lett. 103, 093902 (2009). https://doi.org/10.
1103/PhysRevLett.103.093902
21. A.Y. Song, Y. Shi, Q. Lin, S. Fan, Phys. Rev. A 99, 013824 (2019). https://doi.org/10.1103/
PhysRevA.99.013824
22. W. Wang, L.Q. Wang, R.D. Xue, H.L. Chen, R.P. Guo, Y. Liu, J. Chen, Phys. Rev. Lett. 119,
7 (2017). https://doi.org/10.1103/PhysRevLett.119.077401