Volume 112, Number 3, November 2015
|Number of page(s)||6|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||30 November 2015|
Solution of the two-mode quantum Rabi model using extended squeezed states
1 Department of Physics, Zhejiang University - Hangzhou 310027, China
2 EP VI and Center for Electronic Correlations and Magnetism, University of Augsburg 86135 Augsburg, Germany
3 Center for Correlated Matter, Zhejiang University - Hangzhou 310058, China
4 Collaborative Innovation Center of Advanced Microstructures - Nanjing 210093, China
Received: 12 August 2015
Accepted: 5 November 2015
The two-mode quantum Rabi model with bilinear coupling is studied using extended squeezed states. We derive G-functions for each Bargmann index q. They share a common structure with the G-function of the one-photon and two-photon quantum Rabi models. The regular spectrum is given by zeros of the G-function while the conditions for the presence of doubly degenerate (exceptional) eigenvalues are obtained in closed form through the lifting property. The simple singularity structure of the G-function allows to draw conclusions about the distribution of eigenvalues along the real axis and to understand the spectral collapse phenomenon when the coupling reaches a critical value.
PACS: 42.50.-p – Quantum optics / 42.50.Pq – Cavity quantum electrodynamics; micromasers / 03.65.Ge – Solutions of wave equations: bound states
© EPLA, 2015
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