PT-symmetry in optics

A.A. Zyablovsky^a, b, A.P. Vinogradov^a, c, b, A.A. Pukhov^a, c, b, A.V. Dorofeenko^a, c, b, A.A. Lisyansky^d
^aMoscow Institute of Physics and Technology (National Research University), Institutskii per. 9, Dolgoprudny, Moscow Region, 141701, Russian Federation
^bDukhov Research Institute of Automatics, ul. Sushchevskaya 22, Moscow, 119017, Russian Federation
^cInstitute for Theoretical and Applied Electrodynamics, Russian Academy of Sciences, ul. Izhorskaya 13/19, Moscow, 127412, Russian Federation
^dDepartment of Physics, Queens College of the City University of New York, Flushing, New York, USA

Quantum-mechanical and optical pseudo-Hermitian systems are reviewed with emphasis on PT-symmetric systems important for optics and electrodynamics. One of the most interesting and much discussed consequences of PT-symmetry is a phase transition with the breaking of the symmetry of the system's eigenstates. We show in the review that, although this phase transition is difficult to realize experimentally, a similar transition can be observed in quasi-PT-symmetric systems. Other effects predicted for PT-symmetric systems are not specific for these systems and can be observed in ordinary fully-passive systems.

PACS: 03.65.Ca, 41.20.Jb, 42.79.−e (all)
DOI: 10.3367/UFNe.0184.201411b.1177
URL: https://ufn.ru/en/articles/2014/11/b/
Web of Science

000349435700002
Scopus

2-s2.0-84922749419
ADS NASA

2014PhyU...57.1063Z
Citation: Zyablovsky A A, Vinogradov A P, Pukhov A A, Dorofeenko A V, Lisyansky A A "PT-symmetry in optics" Phys. Usp. 57 1063–1082 (2014)

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Received: 11th, February 2014, revised: 16th, April 2014, accepted: 13th, May 2014

Оригинал: Зябловский А А, Виноградов А П, Пухов А А, Дорофеенко А В, Лисянский А А «PT-симметрия в оптике» УФН 184 1177–1198 (2014); DOI: 10.3367/UFNr.0184.201411b.1177