两分量BEC精确Floquet解的弱驱动不稳定性分析
摘要
研究了两分量玻色-爱因斯坦凝聚系统(BEC)的精确Floquet态的不稳定性问题.将两分量玻色-爱因斯坦系统囚禁于一个光格势中,同时用一个可随时间周期调节的激光驻波驱动,可得到精确的Floquet态.应用李雅普诺夫稳定性标准和线性稳定性分析方法,如果驱动场的强度小于光格势强度的两倍时,系统将发生相的blowing-up现象而导致不稳定,将这种不稳定性称之为弱驱动不稳定性.通过调节驱动场强度可避免这种不稳定性。
出处
《广西物理》
2012年第1期13-17,共5页
Guangxi Physics
参考文献10
-
1Konotop V V,Salerno M.Modulational instability in Bose-Einstein condensates in optical lattices[].Physical Review A Atomic Molecular and Optical Physics.2002
-
2Saito H,Ueda M.Intermittent implosion and pattern formation of trapped Bose-Einstein Condensates with an attractive interaction[].Physical Review Letters.2001
-
3Gun Sang Jeon,Lan Yin,Sung Wu Rhee,and David J Thouless.Pairing instability and mechanical collapse of a Bose gas with an attractive interaction[].Physical Review A Atomic Molecular and Optical Physics.2002
-
4Tarun Kanti Ghosh,and G Baskaran.Cooperative ring exchange and quantum melting of vortex lattices in atomic Bose-Einstein condensates[].Physical Review A Atomic Molecular and Optical Physics.2004
-
5J. W. Reijnders,and R. A. Duine."Pinning of vortices in a Bose-Einstein condensate by an optical lattice"[].Physical Review Letters.2004
-
6H. Deng,W. Hai,Q. Zhu.Exact Floquet states of a two-component Bose-Einstein condensate induced by a laser standing wave[].JPhys A:Math Gen.2006
-
7W. Ketterle.Nobel lecture:When atoms behave as waves:Bose-Einstein condensation and the atom laser[].Reviews of Modern Physics.2002
-
8Bronski J C,Carr L D,Deconinck B,et al.Stability ofRepulsive Bose-Einstein Condensates in a Periodic Potential[].Physical Review E Statistical Nonlinear and Soft Matter Physics.2001
-
9H. Buljan,M. Segev,and A. Vardi.Incoherent Matter-Wave Solitons and Pairing Instability in an Attractively Interacting Bose-Einstein Condensate[].Physical Review Letters.2005
-
10G.Theocharis,Z Rapti,P.G.Kevrekidis,D.J.Frantzeskakais,and V.V.Konotop.Modulational instability of Gross-Pitaevskii-type equations in 1+1 dimensions[].Physical Review A Atomic Molecular and Optical Physics.2003
-
1孙笑涛.关于双有理态射分解的一点注记[J].数学学报（中文版）,1991,34(6):749-753.
-
2冯司茂,朱为崎.Floquet解和绝热近似解的关联——以一个精确可解的两能级模型为例[J].临沧师范高等专科学校学报,2011(3):103-106.
-
3刘灿德,苏希玉.非对称耦合量子点分子中激子的动力学行为[J].量子电子学报,2005,22(6):927-931. 被引量：1
-
4罗满,魏志强.关于MKdV散射方程周期解的讨论[J].华北水利水电学院学报,1996,17(3):73-76. 被引量：1
-
5张亚林.周期系数二阶差分方程的两类特征值问题[J].郑州大学学报（理学版）,2013,45(1):19-22.
-
6花巍,刘学深,丁培柱.Gross-Pitaevskii方程的数值解及其动力学研究(英文)[J].计算物理,2006,23(4):483-488. 被引量：6
-
7谢淑芳.一类具有时变时滞的中立型微分系统的稳定性分析[J].广东工业大学学报,2011,28(3):77-82.
-
8刘小良,徐慧.中性粒子在Ioffe阱中的经典运动方程的Floquet解[J].计算物理,2006,23(1):120-126.
-
9刘灿德,苏希玉,刘玉申,张会云.非对称耦合双量子点中激子的动力学行为[J].Journal of Semiconductors,2005,26(6):1135-1139. 被引量：1
-
10王翀,闫珂柱.简谐势阱中非理想气体玻色爱因斯坦凝聚转变温度的数值研究[J].物理学报,2004,53(5):1284-1288. 被引量：8
