Related papers: Hidden symmetry in the biased Dicke model

Hidden symmetry in the biased Dicke model

URL: http://arxiv.org/abs/2103.13730v2
Date: Mon, 28 Jun 2021 12:15:47 GMT
Title: Hidden symmetry in the biased Dicke model
Authors: Xilin Lu, Zi-Min Li, Vladimir V. Mangazeev and Murray T. Batchelor
Abstract summary: We prove for general $N$ the symmetry operators, which commute with the biased Dicke model, generate a $mathbbZ$ symmetry. We also prove for general $N$ the symmetry operators, which commute with the Hamiltonian of the biased Dicke model, generate a $mathbbZ$ symmetry.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: The symmetry operators generating the hidden $\mathbb{Z}_2$ symmetry of the asymmetric quantum Rabi model (AQRM) at bias $\epsilon \in \frac{1}{2}\mathbb{Z}$ have recently been constructed by V. V. Mangazeev et al. [J. Phys. A: Math. Theor. 54 12LT01 (2021)]. 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 $\mathbb{Z}_2$ symmetry.

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