General symmetry operators of the asymmetric quantum Rabi model

Abstract

In this paper, we propose a general scheme to obtain the symmetry operators in the asymmetric quantum Rabi model within Bogoliubov operator approaches. The previous symmetry operators for small integer biases can be extremely easily reproduced in our scheme. Moreover, we can easily obtain the symmetry operators for arbitrary large biases hierarchically, which is perhaps hardly treated with the standard approach based on the expansions on the original Fock space.

Hidden symmetry operators for asymmetric generalized quantum Rabi models

“…Symmetry operators have now also been constructed within the Bogoliubov operator approach. [27] We conclude by emphasizing that a precise physical interpretation of hidden symmetry operators remains to be determined, even for their simplest manifestation in the AQRM.…”

Entanglement resonance in the asymmetric quantum Rabi model

“…Such symmetry is called the hidden symmetry of the A-QRM [42][43][44][45][46]. Very recently, its symmetry operators for m = 1 and 2 are rigorously derived [44,61] and a general scheme to obtain the symmetry operators has been proposed [62]. Thus, in addition to the energy-spectrum features which has been paid attention in previous work, see e.g.…”