Chaotic matter shock wave of an open system

doi:10.1088/1674-1056/19/12/120502

Abstract We investigate a one-dimensional open Bose–Einstein condensate with attractive interaction, by considering the effect of feeding from nonequilibrium thermal cloud and applying the time-periodic inverted-harmonic potential. Using the direct perturbation method and the exact shock wave solution of the stationary Gross–Pitaevskii equation, we obtain the chaotic perturbed solution and the Melnikov chaotic regions. Based on the analytical and the numerical methods, the influence of the feeding strength on the chaotic motion is revealed. It is shown that the chaotic regions could be enlarged by reducing the feeding strength and the increase of feeding strength plays a role in suppressing chaos. In the case of "nonpropagated" shock wave with fixed boundary, the number of condensed atoms increases faster as the feeding strength increases. However, for the free boundary the metastable shock wave with fixed front density oscillates its front position and atomic number aperiodically, and their amplitudes decay with the increase of the feeding strength.

Keywords: Bose–Einstein condensate feeding strength shock wave chaos

Received: 30 March 2010
Revised: 03 August 2010
Accepted manuscript online:

PACS:	03.75.Nt	(Other Bose-Einstein condensation phenomena)
	05.45.Pq	(Numerical simulations of chaotic systems)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10875039) and the Construct Program of the National Key Discipline of China (Grant No. 4[2007]), and the Specialized Research Fund for the Doctoral Program of Higher Education, China (Grant No. 200805420002).

Cite this article:

Deng Yan(邓艳),Hai Wen-Hua(海文华), Rong Shi-Guang(荣识广), and Zhong Hong-Hua(钟宏华) Chaotic matter shock wave of an open system 2010 Chin. Phys. B 19 120502

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