Parity-time symmetry and variable optical isolation in active-passive- coupled microresonators

Nature Photonics

Volumn 8, Issue 7, 2014, Pages 524-529

  Chang, Long ^a   Jiang, Xiaoshun ^a   Hua, Shiyue ^a   Yang, Chao ^a   Wen, Jianming ^b   Jiang, Liang ^b   Li, Guanyu ^a   Wang, Guanzhong ^a   Xiao, Min ^a,c  

^a NANJING UNIVERSITY   (China)

^b Yale University   (United States)

^c UNIVERSITY OF ARKANSAS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

OPTICAL COMMUNICATION; OPTICS; QUANTUM THEORY;

CONSERVATIVE SYSTEMS; MICRO RESONATORS; OPTICAL ANALOGUES; OPTICAL ISOLATION; OPTICAL ISOLATORS; PARITY-TIME SYMMETRIES; PHOTONIC STRUCTURE; TIME REVERSAL SYMMETRIES;

PULSE SHAPING;

EID: 84903614553     PISSN: 17494885     EISSN: 17494893     Source Type: Journal    
DOI: 10.1038/nphoton.2014.133     Document Type: Article

References (42)

1. El-Ganainy, R., Makris, K. G., Christodoulides, D. N. & Musslimani, Z. H. Theory of coupled optical PT-symmetric structures. Opt. Lett. 32, 2632-2634 (2007
2. Bender, C. M. & Boettcher, S. Real spectra in non-Hermitian Hamiltonians having PT symmetry. Phys. Rev. Lett. 80, 5243-5246 (1998
3. Bender, C. M., Boettcher, S. & Meisinger, P. N. PT-symmetric quantum mechanics. J. Math. Phys. 40, 2201-2229 (1999
4. Bender, C. M. Making sense of non-Hermitian Hamiltonians. Rep. Prog. Phys. 70, 947-1018 (2007
5. Mostafazadeh, A. Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian. J. Math. Phys. 43, 205-214 (2002
6. Ruter, C. E. et al. Observation of parity-Time symmetry in optics. Nature Phys. 6, 192-195 (2010
7. Regensburger, A. et al. Parity-Time synthetic photonic lattices. Nature 488, 167-171 (2012
8. Guo, A. et al. Observation of PT-symmetry breaking in complex optical potentials. Phys. Rev. Lett. 103, 093902 (2009
9. Berry, M. V. Optical lattices with PT symmetry are not transparent. J. Phys. A 41, 244007 (2008
10. Klaiman, S., Gunther, U. & Moiseyev, N. Visualization of branch points in PTsymmetric waveguides. Phys. Rev. Lett. 101, 080402 (2008
11. Bender, N. et al. Observation of asymmetric transport in structures with active nonlinearities. Phys. Rev. Lett. 110, 234101 (2013
12. Bittner, S. et al. PT symmetry and spontaneous symmetry breaking in a microwave billiard. Phys. Rev. Lett. 108, 024101 (2012
13. Chtchelkatchev, N. M., Golubov, A. A., Baturina, T. I. & Vinokur, V. M. Stimulation of the fluctuation superconductivity by PT symmetry. Phys. Rev. Lett. 109, 150405 (2012
14. Hang, C., Huang, G. & Konotop, V. V. PT symmetry with a system of three-level atoms. Phys. Rev. Lett. 110, 083604 (2013
15. Sheng, J., Miri, M-A., Christodoulides, D. N. & Xiao, M. PT-symmetric optical potentials in a coherent atomic medium. Phys. Rev. A 88, 041803 (2013
16. Benisty, H. et al. Implementation of PT symmetric devices using plasmonics: Principle and applications. Opt. Express 19, 18004-18019 (2011
17. Makris, K. G., El-Ganainy, R., Christodoulides, D. N. & Musslimani, Z. H. Beam dynamics in PT symmetric optical lattices. Phys. Rev. Lett. 100, 103904 (2008
18. Ramezni, H., Kottos, T., Kovanis, V. & Christodoulides, D. N. Exceptional-point dynamics in photonic honeycomb lattices with PT symmetry. Phys. Rev. A 85, 013818 (2012
19. Lin, Z. et al. Unidirectional invisibility induced by PT-symmetric periodic structures. Phys. Rev. Lett. 106, 213901 (2011
20. Longhi, S. Invisibility in PT-symmetric complex crystals. J. Phys. A 44, 485302 (2011
21. Mostafazadeh, A. Invisibility and PT symmetry. Phys. Rev. A 87, 012103 (2013
22. Longhi, S. PT-symmetric laser absorber. Phys. Rev. A 82, 031801(R) (2010
23. Chong, Y. D., Ge, L. & Stone, A. D. PT-symmetry breaking and laser-Absorber modes in optical scattering systems. Phys. Rev. Lett. 106, 093902 (2011
24. Feng, L. et al. Experimental demonstration of a unidirectional reflectionless parity-Time metamaterial at optical frequencies. Nature Mater. 12, 108-113 (2013
25. Sun, Y., Tan, W., Li, H-Q., Li, J. & Chen, H. Experimental demonstration of a coherent perfect absorber with PT phase transition. Phys. Rev. Lett. 112, 143903 (2014
26. Jalas, D. et al. What is-And what is not-An optical isolator. Nature Photon. 7, 579-582 (2013
27. Bi, L. et al. On-chip optical isolation in monolithically integrated non-reciprocal optical resonators. Nature Photon. 5, 758-762 (2011
28. Gallo, K., Assanto, G., Parameswaran, K. R. & Fejer, M. M. All-optical diode in a periodically poled lithium niobate waveguide. Appl. Phys. Lett. 79, 314-316 (2001
29. Sukhrukov, A. A., Xu, Z. Y. & Kivshar, Y. S. Nonlinear suppression of time reversals in PT-symmetric optical couplers. Phys. Rev. A 82, 043818 (2010
30. Kang, M. S., Butsch, A. & Russell, P. St. J. Reconfigurable light-driven optoacoustic isolators in photonic crystal fibre. Nature Photon. 5, 549-553 (2011
31. Fan, L. et al. An all-silicon passive optical diode. Science 335, 447-450 (2012
32. Armani, D. K., Kippenberg, T. J., Spillane, S. M. & Vahala, K. J. Ultra-high-Q toroid microcavity on a chip. Nature 421, 925-928 (2003
33. Anetsberger, G. et al. Near-field cavity optomechanics with nanomechanical oscillators. Nature Phys. 5, 904-914 (2009
34. Zheng, C. et al. Controllable optical analog to electromagnetically induced transparency in coupled high-Q microtoroid cavities. Opt. Express 20, 18319-18325 (2012
35. Yang, L., Carmon, T., Min, B., Spillane, S. M. & Vahala, K. J. Erbium-doped and Raman microlasers on a silicon chip fabricated by the sol-gel process. Appl. Phys. Lett. 86, 091114 (2005
36. Fan, H., Hua, S., Jiang, X. & Xiao, M. Demonstration of an erbium-doped microsphere laser on a silicon chip. Laser Phys. Lett. 10, 105809 (2013
37. Mostafazadeh, A. Spectral singularities of complex scattering potentials and infinite reflection and transmission coefficients at real energies. Phys. Rev. Lett. 102, 220402 (2009
38. Weiss, D. S. et al. Splitting of high-Q Mie modes induced by light backscattering in silica microspheres. Opt. Lett. 20, 1835-1837 (1995
39. Kippenberg, T. J., Spillane, S. M. & Vahala, K. J. Modal coupling in travelingwave resonators. Opt. Lett. 27, 1669-1671 (2002
40. Grigoriev, V. & Biancalana, F. Nonreciprocal switching thresholds in coupled nonlinear microcavities. Opt. Lett. 36, 2131-2133 (2011
41. Peng, B. et al. Parity-Time-symmetric whispering-gallery microcavities. Nature Phys. 10, 394-398 (2014
42. Carmon, T., Yang, L., & Vahala, K. J. Dynamical thermal behavior and thermal self-stability of microcavities. Opt. Express 12, 4742-4750 (2004.