The squeezing properties in the Jaynes-Cummings model with arbitrary intensity-dependent coupling

Abstract

We have studied the squeezing properties of the atom and the radiation field in arbitrary intensity-dependent-coupling Jaynes-Cummings model when it is restricted to the following initial condition: the atom in its coherent state and the field in the vacuum state. The influence of virtual-photon processes on the atomic squeezing predicted by the Jaynes-Cummings model (JCM) has been examined. The relationship between the field and atomic squeezing in the resonant multi-photon JCM has been discussed. The symmetry between the field and atomic squeezing (SFAS) has been exposed in the resonant vacuum one-photon JCM, and the influence of non-resonant interaction and virtual-photon processes on the SFAS has also been discussed.PACS 42.50.Dv-Nonclassical photon states (including antibunched, squeezed, sub-Poissonian). PACS 42.50.Lc -Quantum fluctuations, quantum noise, and quantum jumps. PACS 42.50.Hz -Strong-field excitation of optical transitions in quantum systems; multi-photon processes; dynamic Stark shift. PACS 05.45 -Theory and models of chaotic systems.

Generation of higher-order atomic dipole squeezing in a high-Q micromaser cavity. (VIII). Multi-photon interaction

“…is the scaled Rabi frequency and φ is the relative phase between the excited state | + and the ground state | − of the two-level atom. If we take η = sin θ cos θ, the above results are in agreement with those of Xie et al [9,26].…”

“…which is the multi-photon Jaynes-Cummings model without the rotating-wave approximation (RWA) [9,26]. If the RWA is explicitly used, then we have…”

“…As a first step, we consider that the initial atom is arbitrarily prepared and that the atom interacts with the field via a multi-photon transition process. In this paper, we use the twolevel multi-photon Jaynes-Cummings model [9,26,27] and utilize the density matrix method which can describe very well arbitrary atomic-field states such as a mixed state. Their actual squeezing conditions and behaviours were carefully discussed.…”

Motional rotating-wave approximation for harmonically trapped particles

“…We note some earlier investigations show that rotating wave approximation (RWA) does not work satisfactorily for Hamiltonians containing multiple transitions [8,9] or for systems initially prepared in a superposition of internal states [10]. Furthermore, multi-particle properties such as entanglement can have different sensitivity dependence on single particle MRWA [11]. With harmonically trapped particles, this issue becomes particularly acute as the equal distant motional states span an infinite dimensional Hilbert space.…”