Observation of chiral state transfer without encircling an exceptional point.
Journal
Nature
ISSN: 1476-4687
Titre abrégé: Nature
Pays: England
ID NLM: 0410462
Informations de publication
Date de publication:
05 2022
05 2022
Historique:
received:
30
09
2021
accepted:
14
02
2022
entrez:
13
5
2022
pubmed:
14
5
2022
medline:
14
5
2022
Statut:
ppublish
Résumé
The adiabatic theorem, a corollary of the Schrödinger equation, manifests itself in a profoundly different way in non-Hermitian arrangements, resulting in counterintuitive state transfer schemes that have no counterpart in closed quantum systems. In particular, the dynamical encirclement of exceptional points (EPs) in parameter space has been shown to lead to a chiral phase accumulation, non-adiabatic jumps and topological mode conversion
Identifiants
pubmed: 35546193
doi: 10.1038/s41586-022-04542-2
pii: 10.1038/s41586-022-04542-2
doi:
Types de publication
Journal Article
Research Support, U.S. Gov't, Non-P.H.S.
Research Support, Non-U.S. Gov't
Langues
eng
Sous-ensembles de citation
IM
Pagination
256-261Informations de copyright
© 2022. The Author(s), under exclusive licence to Springer Nature Limited.
Références
Uzdin, R., Mailybaev, A. & Moiseyev, N. On the observability and asymmetry of adiabatic state flips generated by exceptional points. J. Phys. A 44, 435302 (2011).
doi: 10.1088/1751-8113/44/43/435302
Graefe, E.-M., Mailybaev, A. A. & Moiseyev, N. Breakdown of adiabatic transfer of light in waveguides in the presence of absorption. Phys. Rev. A 88, 033842 (2013).
doi: 10.1103/PhysRevA.88.033842
Gilary, I., Mailybaev, A. A. & Moiseyev, N. Time-asymmetric quantum-state-exchange mechanism. Phys. Rev. A 88, 010102 (2013).
doi: 10.1103/PhysRevA.88.010102
Doppler, J. et al. Dynamically encircling an exceptional point for asymmetric mode switching. Nature 537, 76–79 (2016).
doi: 10.1038/nature18605
Xu, H., Mason, D., Jiang, L. & Harris, J. G. Topological energy transfer in an optomechanical system with exceptional points. Nature 537, 80–83 (2016).
doi: 10.1038/nature18604
Yoon, J. W. et al. Time-asymmetric loop around an exceptional point over the full optical communications band. Nature 562, 86–90 (2018).
doi: 10.1038/s41586-018-0523-2
Hassan, A. U., Zhen, B., Soljačić, M., Khajavikhan, M. & Christodoulides, D. N. Dynamically encircling exceptional points: exact evolution and polarization state conversion. Phys. Rev. Lett. 118, 093002 (2017).
doi: 10.1103/PhysRevLett.118.093002
Zhang, X.-L. & Chan, C. T. Dynamically encircling exceptional points in a three-mode waveguide system. Commun. Phys. 2, 63 (2019).
doi: 10.1038/s42005-019-0171-3
Hassan, A. U. et al. Chiral state conversion without encircling an exceptional point. Phys. Rev. A 96, 052129 (2017).
doi: 10.1103/PhysRevA.96.052129
Zhong, Q., Khajavikhan, M., Christodoulides, D. N. & El-Ganainy, R. Winding around non-Hermitian singularities. Nat. Commun. 9, 4808 (2018).
doi: 10.1038/s41467-018-07105-0
Feilhauer, J. et al. Encircling exceptional points as a non-Hermitian extension of rapid adiabatic passage. Phys. Rev. A 102, 040201 (2020).
doi: 10.1103/PhysRevA.102.040201
Kato, T. Perturbation Theory for Linear Operators (Springer, 2013).
Heiss, W. D. Phases of wave functions and level repulsion. Eur. Phys. J. D 7, 1–4 (1999).
doi: 10.1007/s100530050339
Moiseyev, N. Non-Hermitian Quantum Mechanics (Cambridge Univ. Press, 2011).
El-Ganainy, R. et al. Non-Hermitian physics and PT symmetry. Nat. Phys. 14, 11–19 (2018).
doi: 10.1038/nphys4323
Parto, M., Liu, Y. G. N., Bahari, B., Khajavikhan, M. & Christodoulides, D. N. Non-Hermitian and topological photonics: optics at an exceptional point. Nanophotonics 10, 403–423 (2021).
doi: 10.1515/nanoph-2020-0434
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).
doi: 10.1103/PhysRevLett.100.103904
Klaiman, S., Günther, U. & Moiseyev, N. Visualization of branch points in PT-symmetric waveguides. Phys. Rev. Lett. 101, 080402 (2008).
doi: 10.1103/PhysRevLett.101.080402
Zheng, M. C., Christodoulides, D. N., Fleischmann, R. & Kottos, T. PT optical lattices and universality in beam dynamics. Phys. Rev. A 82, 010103 (2010).
doi: 10.1103/PhysRevA.82.010103
Milburn, T. J. et al. General description of quasiadiabatic dynamical phenomena near exceptional points. Phys. Rev. A 92, 052124 (2015).
doi: 10.1103/PhysRevA.92.052124
Zhang, X.-L., Wang, S., Hou, B. & Chan, C. T. Dynamically encircling exceptional points: in situ control of encircling loops and the role of the starting point. Phys. Rev. X 8, 021066 (2018).
Zhang, X.-L., Jiang, T. & Chan, C. T. Dynamically encircling an exceptional point in anti-parity-time symmetric systems: asymmetric mode switching for symmetry-broken modes. Light Sci. Appl. 8, 88 (2019).
doi: 10.1038/s41377-019-0200-8
Choi, Y., Hahn, C., Yoon, J. W., Song, S. H. & Berini, P. Extremely broadband, on-chip optical nonreciprocity enabled by mimicking nonlinear anti-adiabatic quantum jumps near exceptional points. Nat. Commun. 8, 14154 (2017).
doi: 10.1038/ncomms14154
Choi, Y., Yoon, J. W., Hong, J. K., Ryu, Y. & Song, S. H. Direct observation of time-asymmetric breakdown of the standard adiabaticity around an exceptional point. Commun. Phys. 3, 140 (2020).
doi: 10.1038/s42005-020-00409-y
Gao, T. et al. Observation of non-Hermitian degeneracies in a chaotic exciton-polariton billiard. Nature 526, 554–558 (2015).
doi: 10.1038/nature15522
Dembowski, C. et al. Experimental observation of the topological structure of exceptional points. Phys. Rev. Lett. 86, 787 (2001).
doi: 10.1103/PhysRevLett.86.787
Mailybaev, A. A., Kirillov, O. N. & Seyranian, A. P. Geometric phase around exceptional points. Phys. Rev. A 72, 014104 (2005).
doi: 10.1103/PhysRevA.72.014104
Heiss, W. D. The physics of exceptional points. J. Phys. A 45, 444016 (2012).
doi: 10.1088/1751-8113/45/44/444016
Dembowski, C. et al. Encircling an exceptional point. Phys. Rev. E 69, 056216 (2004).
doi: 10.1103/PhysRevE.69.056216
Liu, Q., Liu, J., Zhao, D. & Wang, B. On-chip experiment for chiral mode transfer without enclosing an exceptional point. Phys. Rev. A 103, 023531 (2021).
doi: 10.1103/PhysRevA.103.023531
Berry, M. V. & Uzdin, R. Slow non-Hermitian cycling: exact solutions and the Stokes phenomenon. J. Phys. A 44, 435303 (2011).
doi: 10.1088/1751-8113/44/43/435303