Symmetry operators of the asymmetric two-photon quantum Rabi model
- URL: http://arxiv.org/abs/2106.05817v2
- Date: Wed, 26 Oct 2022 02:05:23 GMT
- Title: Symmetry operators of the asymmetric two-photon quantum Rabi model
- Authors: You-Fei Xie and Qing-Hu Chen
- Abstract summary: The true level crossings in a subspace of the asymmetric two-photon quantum Rabi model (tpQRM) have been observed when the bias parameter of qubit is an even multiple of the renormalized cavity frequency.
We propose a Bogoliubov operator approach (BOA) for the asymmetric tpQRM to derive the symmetry operators associated with the hidden symmetry hierarchically.
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- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The true level crossings in a subspace of the asymmetric two-photon quantum
Rabi model (tpQRM) have been observed when the bias parameter of qubit is an
even multiple of the renormalized cavity frequency. Generally, such level
crossings imply the existence of the hidden symmetry because the bias term
breaks the obvious symmetry exactly. In this work, we propose a Bogoliubov
operator approach (BOA) for the asymmetric tpQRM to derive the symmetry
operators associated with the hidden symmetry hierarchically. The explicit
symmetry operators consisting of Lie algebra at low biases can be easily
obtained in our general scheme. We believe the present approach can be extended
for other asymmetric Rabi models to find the relevant hidden symmetry.
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