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Communications in Theoretical Physics

Symmetry Breaking in the Jaynes-Cummings Model Without RWA

Xie Ruihua, Gong-ou Xu

Published Jul 30, 1997• 0 citations
Publisher

Abstract

The relationship between the field and atomic squeezing has been studied in the Jaynes–Cummings model without the rotating-wave approximation (RWA). For weaker coupling( ), the symmetry between the field and atomic squeezing (SFAS) has been exposed. When the coupling strength is up to the magnitude of order , the SFAS begins to be destroyed. For sufficiently stronger coupling( ), the squeezing disappears almost entirely and the SFAS is destroyed thoroughly.

DOI
10.1088/0253-6102/28/1/121

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The relationship between the field and atomic squeezing has been studied in the Jaynes–Cummings model without the rotating-wave approximation (RWA). For weaker coupling( ), the symmetry between the field and atomic squeezing (SFAS) has been exposed. When the coupling strength is up to the magnitude of order , the SFAS begins to be destroyed. For sufficiently stronger coupling( ), the squeezing disappears almost entirely and the SFAS is destroyed thoroughly.
Dipole squeezing in the Jaynes-Cummings model with and without the rotating wave approximation (RWA) has been numerically studied when restricted to the following initial conditions: the field in the superposition of the vacuum and one-photon state, and the atom in the ground state. Numerical results show that even if under the condition for which the RWA is considered to be valid, there is a significant effect caused by the virtual-photon field on the dipole squeezing; in the cases of sufficiently strong coupling of the atom-field interaction, the interference between the virtual-photon processes and the real-photon processes quenches the dipole squeezing.
We have studied the influence of thermal photons on the symmetry between the field and atomic squeezing (SFAS) exposed in the resonant vacuum-field Jaynes-Cummings model with an initially coherent atom. We have shown that when the number of thermal photons ( N av ) is less than 0.01, the SFAS is not sensitive to the presence of thermal photons; when N av ⩾ 0.01, the broken SFAS can be seen; when N av ⩾ 0.1, the squeezed atom cannot radiate a squeezed field any longer. Also, we have discussed the possibility of detection of the boken symmetry in superconducting maser cavity.
This report presents an approach to the exact solutions of the time-dependent Jaynes-Cummings (J-C) model without the rotating wave approximation (RWA). It is shown that there is a squeezing-operator unitary transformation for relating the J-C model without RWA and the one with RWA. Thus by using an appropriate squeezing unitary transformation, the time-dependent J-C model without RWA can be transformed into the one with RWA that has been exactly solved previously, and based on this one can readily obtain the exact solutions of the time-dependent Jaynes-Cummings (J-C) model without RWA. The approach presented here also shows that we can treat these two kinds of time-dependent J-C models (both with and without RWA) in a unified way.