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Optical and Quantum Electronics
Published in: Optical and Quantum Electronics 1/2024

01-01-2024

On the two-photon quantum Rabi model at the critical coupling strength

Authors: M. Hammani, Z. Sakhi, M. Bennai

Published in: Optical and Quantum Electronics | Issue 1/2024

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Abstract

In this paper, an investigation on the two-photon quantum Rabi model at the critical coupling strength as a function of a control parameter \(\delta \in \left[ 0,1\right]\) is treated. This control parameter is introduced to interpolate between the discrete and continuous spectrum regimes. Based on the proposed model, the theoretical effective hamiltonian in the optical phase-space representation is derived by using an appropriate unitary transformation. A numerical treatment is used to better explore the obtained effective hamiltonian. We have discussed the special feature, spectral collapse, as a function of the control parameter \(\delta\) at the critical coupling strength. Also, the mean photon number in the ground-state as a function of this control parameter is studied. At the last, we have used Wigner function to follow the negativity of the ground-state of the system in our proposal.
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Metadata
Title
On the two-photon quantum Rabi model at the critical coupling strength
Authors
M. Hammani
Z. Sakhi
M. Bennai
Publication date
01-01-2024
Publisher
Springer US
Published in
Optical and Quantum Electronics / Issue 1/2024
Print ISSN: 0306-8919
Electronic ISSN: 1572-817X
DOI
https://doi.org/10.1007/s11082-023-05522-0

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