The hidden symmetry of the asymmetric quantum Rabi model

Vladimir V. Mangazeev; Murray T. Batchelor; Vladimir V. Bazhanov

doi:10.1088/1751-8121/abe426

The hidden symmetry of the asymmetric quantum Rabi model

Vladimir V. Mangazeev^*, Murray T. Batchelor, Vladimir V. Bazhanov

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

32 Citations (Scopus)

Abstract

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.

Original language	English
Article number	12LT01
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	54
Issue number	12
DOIs	https://doi.org/10.1088/1751-8121/abe426
Publication status	Published - 26 Mar 2021

Access to Document

10.1088/1751-8121/abe426

Cite this

@article{f8e86db0ebb54610952fdd2eae5349cd,

title = "The hidden symmetry of the asymmetric quantum Rabi model",

abstract = "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.",

keywords = "hidden symmetry, level crossings, quantum Rabi model",

author = "Mangazeev, {Vladimir V.} and Batchelor, {Murray T.} and Bazhanov, {Vladimir V.}",

note = "Publisher Copyright: {\textcopyright} 2021 IOP Publishing Ltd.",

year = "2021",

month = mar,

day = "26",

doi = "10.1088/1751-8121/abe426",

language = "English",

volume = "54",

journal = "Journal of Physics A: Mathematical and Theoretical",

issn = "1751-8113",

publisher = "IOP Publishing Ltd.",

number = "12",

}

TY - JOUR

T1 - The hidden symmetry of the asymmetric quantum Rabi model

AU - Mangazeev, Vladimir V.

AU - Batchelor, Murray T.

AU - Bazhanov, Vladimir V.

PY - 2021/3/26

Y1 - 2021/3/26

N2 - 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.

AB - 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.

KW - hidden symmetry

KW - level crossings

KW - quantum Rabi model

UR - http://www.scopus.com/inward/record.url?scp=85102417491&partnerID=8YFLogxK

U2 - 10.1088/1751-8121/abe426

DO - 10.1088/1751-8121/abe426

M3 - Article

SN - 1751-8113

VL - 54

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

IS - 12

M1 - 12LT01

ER -

The hidden symmetry of the asymmetric quantum Rabi model

Abstract

Access to Document

Other files and links

Fingerprint

Cite this