Author:
Chimczak Grzegorz,Kowalewska-Kudłaszyk Anna,Lange Ewelina,Bartkiewicz Karol,Peřina Jan
Abstract
AbstractWe analyse two quantum systems with hidden parity-time ($${\mathscr {P}\mathscr {T}}$$
P
T
) symmetry: one is an optical device, whereas another is a superconducting microwave-frequency device. To investigate their symmetry, we introduce a damping frame (DF), in which loss and gain terms for a given Hamiltonian are balanced. We show that the non-Hermitian Hamiltonians of both systems can be tuned to reach an exceptional point (EP), i.e., the point in parameter space at which a transition from broken to unbroken hidden $${\mathscr {P}\mathscr {T}}$$
P
T
symmetry takes place. We calculate a degeneracy of a Liouvillian superoperator, which is called the Liouvillian exceptional point (LEP), and show that, in the optical domain, LEP is equivalent to EP obtained from the non-Hermitian Hamiltonian (HEP). We also report breaking the equivalence between LEP and HEP by a non-zero number of thermal photons for the microwave-frequency system.
Funder
Narodowe Centrum Nauki
Ministerstvo Školství, Mládeže a Tělovýchovy
Grantová Agentura České Republiky
Publisher
Springer Science and Business Media LLC
Cited by
2 articles.
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