Bistable behavior of a two-mode Bose-Einstein condensate in an optical cavity

Abstract

We consider a two-component Bose-Einstein condensate in a one-dimensional optical cavity. Specifically, the condensate atoms are taken to be in two degenerate modes due to their internal hyperfine spin degrees of freedom and they are coupled to the cavity field and an external transverse laser field in a Raman scheme. A parallel laser is also exciting the cavity mode. When the pump laser is far detuned from its resonance atomic transition frequency, an effective nonlinear optical model of the cavity-condensate system is developed under Discrete Mode Approximation (DMA), while matter-field coupling has been considered beyond the Rotating Wave Approximation. By analytical and numerical solutions of the nonlinear dynamical equations, we examine the mean cavity field and population difference (magnetization) of the condensate modes. The stationary solutions of both the mean cavity field and normalized magnetization demonstrate bistable behavior under certain conditions for the laser pump intensity and matter-field coupling strength.

Proceeding of Laser Physics 2011

References in corpus (4)

• Cold Bosons in Optical Lattices
• Nonlinear dynamics of a cigar-shaped Bose-Einstein condensate coupled with a single cavity mode
• Route to turbulence in a trapped Bose-Einstein condensate
• Transition to quantum turbulence in a finite size superfluid

Cited by in corpus (6)

• Universal non-equilibrium properties of dissipative Rydberg gases
• Triangular and Honeycomb Lattices of Cold Atoms in Optical Cavities
• Controllable optical bistability in a cavity optomechanical system with a Bose-Einstein condensate
• Raman superradiance and spin lattice of ultracold atoms in optical cavities
• Phase separation and multistability of two-component Bose-Einstein condensate in an optical cavity
• Phase transition, phase separation and mode softening of a two-component Bose-Einstein condensate in an optical cavity