Phase effects of a two-dimensional Bose-Einstein condensate

• Published in: Journal of physics. B, Atomic, molecular, and optical physics Vol. 45; no. 13; pp. 135301 - 1-9
• Main Authors: Deng, Yan, Hai, Wenhua, Lu, Gengbiao, Rong, Shiguang
• Format: Journal Article
• Language: English
• Published: Bristol IOP Publishing 14.07.2012; Institute of Physics
• Subjects: axis-taxis phenomenon; Bose-Einstein condensate; Bose-Einstein condensates; chaos; Chaos theory; Classical and quantum physics: mechanics and fields; Constraining; Density; Exact sciences and technology; exact solution; Exact solutions; inseparable phase; Mathematical analysis; Matter waves; Physics; shock wave; Transport; Two dimensional; Shock waves; Two-dimensional systems; Plasma instability; Gross-Pitaevskii equation; Harmonic potential; Theoretical study; Bose-Einstein condensation; Exact solution
• ISSN: 0953-4075; 1361-6455
• DOI: 10.1088/0953-4075/45/13/135301

We investigate the phase effects of a periodically driven Bose-Einstein condensate (BEC) held in a spatially two-dimensional (2D) harmonic or inverted-harmonic potential. A formally exact solution of the time-dependent Gross-Pitaevskii equation is found, which depicts the shock wave with chaotic or periodic amplitude and phase. The atomic densities are illustrated numerically, and the circularly symmetric distributions in the separable phase and the axially symmetric BEC clusters in the inseparable phase are shown. It is demonstrated that the periodic driving may lead to chaos for both phases, which plays a role in avoiding the escape of the solution and restraining the BEC collapse and blast. The results suggest a method for controlling the directed transports of the 2D BEC.