The hidden symmetry of the asymmetric quantum Rabi model-Reference-Cited by-同舟云学术

The hidden symmetry of the asymmetric quantum Rabi model

Published:2021-03-03 Issue:12 Volume:54 Page:12LT01
ISSN:1751-8113
Container-title:Journal of Physics A: Mathematical and Theoretical
language:
Short-container-title:J. Phys. A: Math. Theor.

Author:

Mangazeev Vladimir V^ORCID,Batchelor Murray T^ORCID,Bazhanov Vladimir V^ORCID

Abstract

Abstract The asymmetric quantum Rabi model (AQRM) exhibits level crossings in the eigenspectrum for the values

ϵ ∈ 1 2 Z

of the bias parameter ϵ. 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.

Funder

Australian Research Council

Publisher

IOP Publishing

Subject

General Physics and Astronomy,Mathematical Physics,Modeling and Simulation,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://iopscience.iop.org/article/10.1088/1751-8121/abe426/pdf

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