Chaotic matter shock wave of an open system

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

中国物理B ›› 2010, Vol. 19 ›› Issue (12): 120502-120502.doi: 10.1088/1674-1056/19/12/120502

Chaotic matter shock wave of an open system

邓艳, 海文华, 荣识广, 钟宏华

Department of Physics and Key Laboratory of Low-dimensional Quantum Structures and Quantum Control of Ministry of Education, Hunan Normal University, Changsha 410081, China

收稿日期:2010-03-30 修回日期:2010-08-03 出版日期:2010-12-15 发布日期:2010-12-15
基金资助:
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).

Chaotic matter shock wave of an open system

Deng Yan(邓艳),Hai Wen-Hua(海文华)^†, Rong Shi-Guang(荣识广), and Zhong Hong-Hua(钟宏华)

Department of Physics and Key Laboratory of Low-dimensional Quantum Structures and Quantum Control of Ministry of Education, Hunan Normal University, Changsha 410081, China

Received:2010-03-30 Revised:2010-08-03 Online:2010-12-15 Published:2010-12-15
Supported by:
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).

摘要/Abstract

摘要： 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.

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.

Key words: Bose–Einstein condensate, feeding strength, shock wave, chaos

中图分类号: (Other Bose-Einstein condensation phenomena)

03.75.Nt

05.45.Pq (Numerical simulations of chaotic systems)

邓艳, 海文华, 荣识广, 钟宏华. Chaotic matter shock wave of an open system[J]. 中国物理B, 2010, 19(12): 120502-120502.

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[J]. Chin. Phys. B, 2010, 19(12): 120502-120502.

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Chaotic matter shock wave of an open system

Chaotic matter shock wave of an open system

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