Quantum behavior of a two-level atom interacting with two modes of light in a cavity

Electron-phonon dynamics in an ensemble of nearly isolated nanoparticles

“…Although there has been work done in the quantum optics literature on the multimode generalizations of our Hamiltonian ͑1͒, that work has focused on the two-photon resonance case where ⌬⑀ϭ2 0 . 11,12 One way to approach the degenerate case nonperturbatively would be to assume N degenerate modes in the limit of large N. By analogy with other quantum systems with internal degrees of freedom, like particles with N spin components, it is reasonable to expect that quantum effects will be diminished in the large-N limit. In a nanoparticle this would suggest a suppression of the Rabi oscillations.…”

<title>Dissipative dynamics of nondegenerate two-photon Jaynes-Cummings model</title>

“…The influence of phase damping on nonclassical properties of NTPJCM has been considered in [17]. The effect of a cavity damping on the time behaviour of the atomic population in the special case when the fields are initially in the two-mode squeezed vacuum has been taken investigated by Gou [19]. It's of great interest to investigate the role of energy dissipation in dynamics of the NTPJCM for arbitrary fields states.…”

“…A remarkable feature of such a model is that one mode can be used to affect on the other mode. The lossless NTPJCM has been used to study time evolution of the atomic and photon operators, the second-order coherence function, the one-and two-mode squeezing, the atomic dipole squeezing, the emission spectra and quantum entropy and entanglement without and with consideration of Stark-shifts [19]- [31]. The influence of phase damping on nonclassical properties of NTPJCM has been considered in [17].…”

Quantum dynamical properties of a two-photon non linear Jaynes-cummings model

“…Following these guidelines, Gou [11] investigated the Ξ configuration when the intermediate level can be adiabatically eliminated [12]. This approximation turns the original bilinear photon-level interaction into a three-linear one (usually called "nonlinear non-degenerate two-photon" interaction).…”

“…This model has been broadly used in order to study the time evolution of the atomic and photon operators, the second order coherence function, the one and two-mode squeezing, the atomic-dipole squeezing and the emission spectra [11,[13][14][15][16][17][18]. Usually, the two-level system has been considered initially in the excited state and the two-photons have been chosen initially in two independent coherent states [11,15,16,18], two mode squeezed states [11], pair-coherent states [13], correlated SU(1,1) coherent states [14], etc. The Λ configuration, also called the Raman coupled model, when the intermediate level can be adiabatically eliminated was studied by Abdalla, Ahmed and Obada [19], and independently by Gerry and Eberly [20].…”