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Open Quantum Systems Decoherence

The hidden symmetry of the asymmetric quantum Rabi model

arXiv
Authors: Vladimir V. Mangazeev, Murray T. Batchelor, Vladimir V. Bazhanov

Year

2020

Paper ID

20187

Status

Preprint

Abstract Read

~2 min

Abstract Words

95

Citations

N/A

Abstract

The asymmetric quantum Rabi model (AQRM) exhibits level crossings in the eigenspectrum for the values εinfrac{1}{2}mathbb{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 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.

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  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2020 reference point for readers tracking recent quantum research.
  • The asymmetric quantum Rabi model (AQRM) exhibits level crossings in the eigenspectrum for the values εinfrac12mathbbZ of the bias parameter ε.

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