The Effect of Thermal Photons on Exceptional Points in Coupled Resonators

Overview

Journal Sci Rep

Specialty Science

Date 2023 Apr 11

PMID 37041323

Authors

Grzegorz Chimczak

Anna Kowalewska-Kudlaszyk

Ewelina Lange

Karol Bartkiewicz

Jan Perina Jr

Affiliations

Soon will be listed here.

Abstract

We analyse two quantum systems with hidden parity-time ([Formula: see text]) 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 [Formula: see text] 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.

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