Hidden symmetry in the biased Dicke model

Xilin Lu; Zi Min Li; Vladimir V. Mangazeev; Murray T. Batchelor

doi:10.1088/1751-8121/ac0f16

Hidden symmetry in the biased Dicke model

Xilin Lu, Zi Min Li, Vladimir V. Mangazeev, Murray T. Batchelor^*

^*Corresponding author for this work

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

11 Citations (Scopus)

Abstract

The symmetry operators generating the hidden Z2 symmetry of the asymmetric quantum Rabi model (AQRM) at bias in 12 Z have recently been constructed by Mangazeev et al (2021 J. Phys. A: Math. Theor. 54 12LT01). We start with this result to determine symmetry operators for the N-qubit generalisation of the AQRM, also known as the biased Dicke model, at special biases. We also prove for general N that the symmetry operators, which commute with the Hamiltonian of the biased Dicke model, generate a Z2 symmetry.

Original language	English
Article number	325202
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	54
Issue number	32
DOIs	https://doi.org/10.1088/1751-8121/ac0f16
Publication status	Published - Aug 2021

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title = "Hidden symmetry in the biased Dicke model",

abstract = "The symmetry operators generating the hidden Z2 symmetry of the asymmetric quantum Rabi model (AQRM) at bias in 12 Z have recently been constructed by Mangazeev et al (2021 J. Phys. A: Math. Theor. 54 12LT01). We start with this result to determine symmetry operators for the N-qubit generalisation of the AQRM, also known as the biased Dicke model, at special biases. We also prove for general N that the symmetry operators, which commute with the Hamiltonian of the biased Dicke model, generate a Z2 symmetry.",

keywords = "Dicke model, hidden symmetry, light-matter interaction",

author = "Xilin Lu and Li, \{Zi Min\} and Mangazeev, \{Vladimir V.\} and Batchelor, \{Murray T.\}",

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

year = "2021",

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T1 - Hidden symmetry in the biased Dicke model

AU - Lu, Xilin

AU - Li, Zi Min

AU - Mangazeev, Vladimir V.

AU - Batchelor, Murray T.

PY - 2021/8

Y1 - 2021/8

N2 - The symmetry operators generating the hidden Z2 symmetry of the asymmetric quantum Rabi model (AQRM) at bias in 12 Z have recently been constructed by Mangazeev et al (2021 J. Phys. A: Math. Theor. 54 12LT01). We start with this result to determine symmetry operators for the N-qubit generalisation of the AQRM, also known as the biased Dicke model, at special biases. We also prove for general N that the symmetry operators, which commute with the Hamiltonian of the biased Dicke model, generate a Z2 symmetry.

AB - The symmetry operators generating the hidden Z2 symmetry of the asymmetric quantum Rabi model (AQRM) at bias in 12 Z have recently been constructed by Mangazeev et al (2021 J. Phys. A: Math. Theor. 54 12LT01). We start with this result to determine symmetry operators for the N-qubit generalisation of the AQRM, also known as the biased Dicke model, at special biases. We also prove for general N that the symmetry operators, which commute with the Hamiltonian of the biased Dicke model, generate a Z2 symmetry.

KW - Dicke model

KW - hidden symmetry

KW - light-matter interaction

UR - https://www.scopus.com/pages/publications/85111258210

U2 - 10.1088/1751-8121/ac0f16

DO - 10.1088/1751-8121/ac0f16

M3 - Article

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VL - 54

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

IS - 32

M1 - 325202

ER -

Hidden symmetry in the biased Dicke model

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