Nonlinear Quantum Optics Bose-Systems

Anatoliy K. Prykarpatsky, Ufuk Taneri, NICKOLAI N. BOGOLUBOV

Methods of Studying Quantum Optical Phenomena: Quantum States and Statistics Creation and Annihilation Operators The One-Particle Green's Function The Dyson Equations Polarization Operators The Hartree-Fock Approximation Nonlinear Quantum Optics Models and Their Applications: Nonlinear Quantum Optics Bose-Systems The Dicke Model A Degenerate Parametric Quantum Optical Amplifier A Nonlinear Quantum-Optical System at Equilibrium Radiative State and other topics.

Xuesong Gao

Eiichi Hanamura, Yutaka Kawabe, Akio Yamanaka

Jiang Xin, Mai-mai Lin, Sheng-Chang Li +1 more

We study the Rosen–Zener transition (RZT) in a nonlinear system for two-component Bose–Einstein condensates in optical lattices. It is found that the percentage of the components could affect the quantum transition dramatically. For the component with large percentage it is equivalent that the effect of the nonlinearity is stronger, whereas for the component with small percentage the effect is weaker. We also find that the nonlinearity c 11 can affect the quantum transition dramatically. This is similar to that reported from Ref. [14]. Compared with one-component systems, however, the effect of the nonlinearity is decreased due to the two components of the BECs in optical lattices. Furthermore, the effect of the coupling nonlinearity between two components c 12 is studied. The component with large percentage is more affected by the nonlinearity than that with small-percentage component.

Kazuhiko Misawa

J. M. Zhang, Fu-Cheng Cui, D. L. Zhou +1 more

We investigate the nonlinear dynamics of a combined system which is composed of a cigar-shaped Bose-Einstein condensate and an optical cavity with the two sides coupled dispersively. This system is characterized by the cavity-induced nonlinearity; after integrating out the fast degree of freedom of the cavity mode, the potential felt by the condensate depends on the condensate itself. Adopting a discrete-mode approximation for the condensate, we map out the steady configurations of the system. It is found that due to the nonlinearity of the system, the nonlinear levels of the system may fold up in some parameter regimes. That will lead to the breakdown of adiabatic evolution of the system. Analysis of the dynamical stability of the steady states indicates that the same level structure also results in optical bistability.