Dynamic chaos and stability of a weakly open Bose-Einstein condensate in a double-well trap

Journal Article · Thu Sep 01 00:00:00 EDT 2005 · Chaos (Woodbury, N. Y.)

DOI:https://doi.org/10.1063/1.1940527· OSTI ID:20692943

Xiaobing, Luo; Wenhua, Hai ^[1]

---

1. Department of Physics, Hunan Normal University, Changsha 410081 (China)

We investigate the dynamics of a weakly open Bose-Einstein condensate with attractive interaction in a magneto-optical double-well trap. A set of time-dependent ordinary differential equations describing the complex dynamics are derived by using a two-mode approximation. The stability of the stationary solution is analyzed and some stability regions on the parameter space are displayed. In the symmetric well case, the numerical calculations reveal that by adjusting the feeding from the nonequilibrium thermal cloud or the two-body dissipation rate, the system could transit among the periodic motions, chaotic self-trapping states of the Lorenz model, and the steady states with the zero relative atomic population or with the macroscopic quantum self-trapping (MQST). In the asymmetric well case, we find the periodic orbit being a stable two-sided limited cycle with MQST. The results are in good agreement with that of the direct numerical simulations to the Gross-Pitaevskii equation.

• OSTI ID: 20692943
• Journal Information: Chaos (Woodbury, N. Y.), Vol. 15, Issue 3; Other Information: DOI: 10.1063/1.1940527; (c) 2005 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1054-1500
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ASYMMETRY
BOSE-EINSTEIN CONDENSATION
CHAOS THEORY
COMPUTERIZED SIMULATION
DIFFERENTIAL EQUATIONS
MATHEMATICAL SOLUTIONS
MATHEMATICAL SPACE
NONLINEAR PROBLEMS
NUMERICAL ANALYSIS
ORBITS
PERIODICITY
RADIATION PRESSURE
STABILITY
TIME DEPENDENCE
TRAPPING
TRAPS
TWO-BODY PROBLEM