• Photonics Research
  • Vol. 6, Issue 8, A51 (2018)
Yogesh N. Joglekar* and Andrew K. Harter
Author Affiliations
  • Department of Physics, Indiana University-Purdue University Indianapolis (IUPUI), Indianapolis, Indiana 46202, USA
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    DOI: 10.1364/PRJ.6.000A51 Cite this Article Set citation alerts
    Yogesh N. Joglekar, Andrew K. Harter. Passive parity-time-symmetry-breaking transitions without exceptional points in dissipative photonic systems [Invited][J]. Photonics Research, 2018, 6(8): A51 Copy Citation Text show less

    [1] J. J. Sakurai. Modern Quantum Mechanics(1996).

    [2] C. M. Bender, S. Boettcher. Real spectra in non-Hermitian Hamiltonians having PT-symmetry. Phys. Rev. Lett., 80, 5243-5246(1998).

    [3] C. M. Bender, D. C. Brody, H. F. Jones. Complex extension of quantum mechanics. Phys. Rev. Lett., 89, 270401(2002).

    [4] C. M. Bender, D. C. Brody, H. F. Jones. Must a Hamiltonian be Hermitian?. Am. J. Phys., 71, 1095-1102(2003).

    [5] C. M. Bender. Making sense of non-Hermitian Hamiltonians. Rep. Prog. Phys., 70, 947-1018(2007).

    [6] A. Mostafazadeh. 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).

    [7] A. Mostafazadeh. Exact PT-symmetry is equivalent to Hermiticity. J. Phys. A, 36, 7081-7091(2003).

    [8] A. Mostafazadeh, A. Batal. Physical aspects of pseudo-Hermitian and PT-symmetric quantum mechanics. J. Phys. A, 37, 11645-11679(2004).

    [9] A. Mostafazadeh. Pseudo-Hermitian representation of quantum mechanics. Int. J. Geom. Methods Mod. Phys., 07, 1191-1306(2010).

    [10] M. Znojil. Time-dependent version of crypto-Hermitian quantum theory. Phys. Rev. D, 78, 085003(2008).

    [11] M. Znojil. Three-Hilbert-space formulation of quantum mechanics. SIGMA, 5, 001(2009).

    [12] R. El-Ganainy, K. G. Makris, D. N. Christodoulides, Z. H. Musslimani. Theory of coupled optical PT-symmetric structures. Opt. Lett., 32, 2632-2634(2007).

    [13] S. Klaiman, U. Gunther, N. Moiseyev. Visualization of branch points in PT-symmetric waveguides. Phys. Rev. Lett., 101, 080402(2008).

    [14] Y. N. Joglekar, C. Thompson, D. D. Scott, G. Vemuri. Optical waveguide arrays: quantum effects and PT symmetry breaking. Eur. Phys. J. Appl. Phys., 63, 30001(2013).

    [15] C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, D. Kip. Observation of parity-time symmetry in optics. Nat. Phys., 6, 192-195(2010).

    [16] L. Feng, M. Ayache, J. Huang, Y.-L. Xu, M.-H. Lu, Y.-F. Chen, Y. Fainman, A. Scherer. Nonreciprocal light propagation in a silicon photonic circuit. Science, 333, 729-733(2011).

    [17] A. Regensburger, C. Bersch, M.-A. Miri, G. Onishchukov, D. N. Christodoulides, U. Peschel. Parity-time synthetic photonic lattices. Nature, 488, 167-171(2012).

    [18] B. Peng, S. K. Ozdemir, F. Lei, F. Monifi, M. Gianfreda, G. L. Long, S. Fan, F. Nori, C. M. Bender, L. Yang. Parity-time-symmetric whispering-gallery microcavities. Nat. Phys., 10, 394-398(2014).

    [19] M. Brandstetter, M. Liertzer, C. Deutsch, P. Klang, J. Schoberl, H. E. Tureci, G. Strasser, K. Unterrainer, S. Rotter. Reversing the pump dependence of a laser at an exceptional point. Nat. Commun., 5, 4034(2014).

    [20] B. Peng, S. K. Ozdemir, S. Rotter, H. Yilmaz, M. Liertzer, F. Monifi, C. M. Bender, F. Nori, L. Yang. Loss-induced suppression and revival of lasing. Science, 346, 328-332(2014).

    [21] L. Feng, Z. J. Wong, R.-M. Ma, Y. Wang, X. Zhang. Single-mode laser by parity-time symmetry breaking. Science, 346, 972-975(2014).

    [22] H. Hodaei, M.-A. Miri, M. Heinrich, D. N. Christodoulides, M. Khajavikhan. Parity-time-symmetric microring lasers. Science, 346, 975-978(2014).

    [23] Z. Lin, H. Ramezani, T. Eichelkraut, T. Kottos, H. Cao, D. N. Christodoulides. Unidirectional invisibility induced by PT-symmetric periodic structures. Phys. Rev. Lett., 106, 213901(2011).

    [24] L. Feng, Y.-L. Xu, W. S. Fegadolli, M.-H. Lu, J. E. B. Oliveira, V. R. Almeida, Y.-F. Chen, A. Scherer. Experimental demonstration of a unidirectional reflectionless parity-time metamaterial at optical frequencies. Nat. Mater., 12, 108-113(2013).

    [25] G. S. Agarwal, K. Qu. Spontaneous generation of photons in transmission of quantum fields in PT-symmetric optical systems. Phys. Rev. A, 85, 031802(2012).

    [26] J. D. Huerta Morales, B. M. Rodriguez-Lara. Photon propagation through linearly active dimers. Appl. Sci., 7, 587(2017).

    [27] R. El-Ganainy, K. G. Makris, M. Khajavikhan, Z. H. Musslimani, S. Rotter, D. N. Christodoulides. Non-Hermitian physics and PT symmetry. Nat. Phys., 14, 11-19(2018).

    [28] M. Ornigotti, A. Szameit. Quasi PT-symmetry in passive photonic lattices. J. Opt., 16, 065501(2014).

    [29] A. Guo, G. J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, D. N. Christodoulides. Observation of PT-symmetry breaking in complex optical potentials. Phys. Rev. Lett., 103, 093902(2009).

    [30] L. Xiao, X. Zhan, Z. H. Bian, K. K. Wang, X. Zhang, X. P. Wang, J. Li, K. Mochizuki, D. Kim, N. Kawakami, W. Yi, H. Obuse, B. C. Sanders, P. Xue. Observation of topological edge states in parity-time-symmetric quantum walks. Nat. Phys., 13, 1117-1123(2017).

    [31] J. Li, A. K. Harter, J. Liu, L. de Melo, Y. N. Joglekar, L. Luo. Observation of parity-time symmetry breaking transitions in dissipative Floquet system of ultracold atoms(2016).

    [32] T. Kato. Perturbation Theory for Linear Operators(1976).

    [33] H. Hodaei, A. U. Hassan, S. Wittek, H. Garcia-Garcia, R. El-Ganainy, D. N. Christodoulides, M. Khajavikhan. Enhanced sensitivity at higher-order exceptional points. Nature, 548, 187-191(2017).

    [34] W. Chen, S. K. Ozdemir, G. Zhao, J. Wiersig, L. Yang. Exceptional points enhance sensing in an optical microcavity. Nature, 548, 192-196(2017).

    [35] W. D. Weiss, A. L. Sannino. Avoided level crossing and exceptional points. J. Phys. A, 23, 1167-1178(1990).

    [36] I. Rotter, A. F. Sadreev. Avoided level crossings, diabolic points, and branch points in the complex plane in an open double quantum dot. Phys. Rev. E, 71, 036227(2005).

    [37] H. Eleuch, I. Rotter. Avoided level crossings in open quantum systems. Fortschr. Phys., 61, 194-204(2012).

    [38] M. Lietrzer, L. Ge, A. Cerjan, A. D. Stone, H. E. Tureci, S. Rotter. Pump-induced exceptional points in lasers. Phys. Rev. Lett., 108, 173901(2012).

    [39] R. El-Ganainy, M. Khajavikhan, L. Ge. Exceptional points and lasing self-termination in photonic molecules. Phys. Rev. A, 90, 013802(2014).

    [40] M. H. Teimourpour, R. El-Ganainy. Laser self-termination in trimer photonic molecules. J. Opt., 19, 075801(2017).

    [41] A. Szameit, S. Nolte. Discrete optics in femtosecond-laser-written photonic structures. J. Phys. B: At. Mol. Opt. Phys., 43, 163001(2010).

    [42] J. M. Zeuner, M. C. Rechtsman, Y. Plotnik, Y. Lumer, S. Nolte, M. S. Rudner, M. Segev, A. Szameit. Observation of a topological transition in the bulk of a non-Hermitian system. Phys. Rev. Lett., 115, 040402(2015).

    [43] A. K. Harter, T. E. Lee, Y. N. Joglekar. PT-breaking threshold in spatially asymmetric Aubry-Andre-Harper models: hidden symmetry and topological states. Phys. Rev. A, 93, 062101(2016).

    [44] A. K. Harter, F. A. Onanga, Y. N. Joglekar. Veiled symmetry of disordered Parity-Time lattices: protected PT-threshold and the fate of localization. Sci. Rep., 8, 44(2018).

    [45] Y. Fu, X. Zhang, Y. Xu, H. Chen. Design of zero index metamaterials with PT symmetry using epsilon-near-zero media with defects. J. App. Phys., 121, 054503(2017).

    [46] Y. Fu, Y. Xu. Asymmetric effects in waveguide systems using PT symmetry and zero index metamaterials. Sci. Rep., 7, 12476(2017).

    [47] S. Scheel, A. Szameit. PT-symmetric photonic quantum systems with gain and loss do not exist(2018).

    Yogesh N. Joglekar, Andrew K. Harter. Passive parity-time-symmetry-breaking transitions without exceptional points in dissipative photonic systems [Invited][J]. Photonics Research, 2018, 6(8): A51
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