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. Show more