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The hidden symmetry of the asymmetric quantum Rabi mode

Date

2021

Authors

Mangazeev, Vladimir
Batchelor, Murray
Bazhanov, Vladimir

Journal Title

Journal ISSN

Volume Title

Publisher

IOP Electronic Journals

Abstract

© 2021 IOP Publishing Ltd. The asymmetric quantum Rabi model (AQRM) exhibits level crossings in the eigenspectrum for the values ϵ ∈ 1/2ℤ of the bias parameter . Such level crossings are expected to be associated with some hidden symmetry of the model. The origin of this hidden symmetry is established by finding the operators which commute with the AQRM Hamiltonian at these special values. The construction is given explicitly for the first several cases ϵ=0,1/2,1 and can be applied to other related light-matter interaction models for which similar level crossings have been observed in the presence of a bias term.

Description

Keywords

quantum Rabi model, hidden symmetry, level crossings

Citation

URI

http://hdl.handle.net/1885/286596

Collections

ANU Research Publications

Source

Journal of Physics A: Mathematical and Theoretical

Type

Journal article

Book Title

Entity type

Access Statement

Open Access

License Rights

DOI

10.1088/1751-8121/abe426

Restricted until

Downloads

File
Description
HiddenAQRMv2.pdf (83.6 KB)

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