The effect of thermal photons on exceptional points in coupled resonators

• URL: http://arxiv.org/abs/2305.08150v1
• Date: Sun, 14 May 2023 13:02:52 GMT
• Title: The effect of thermal photons on exceptional points in coupled resonators
• Authors: Grzegorz Chimczak and Anna Kowalewska-Kud{\l}aszyk and Ewelina Lange and Karol Bartkiewicz and Jan Pe\v{r}ina Jr
• Abstract summary: We analyse two quantum systems with hidden parity-time (PT) symmetry. One is an optical device, whereas another is a superconducting microwave-frequency device. We show that the non-Hermitian Hamiltonians of both systems can be tuned to reach an exceptional point.
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• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We analyse two quantum systems with hidden parity-time (PT) symmetry: one is an optical device, whereas another is a superconducting microwave-frequency device. To investigate their symmetry, we introduce an equilibrium frame, 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 PT 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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