幺正极限附近费米气体反常激发模式的涡旋

周昱; 周青春; 马晓栋

doi:10.7498/aps.62.140301

摘要

在幺正极限附近研究了处于旋转外势中费米气体的量子化涡旋动力学. 选取适当的试探波函数并利用含时变分法, 得到了小振幅涡旋运动方程及描述其反常激发模式的解. 详细讨论了在幺正极限附近的反常模式产生的条件. 结果显示系统囚禁外势的临界转动频率在幺正极限附近随粒子间相互作用参数的增加而变大, 而涡旋进动的周期则随着粒子间相互作用参数的增加而减小.

关键词:

费米气体 /
涡旋 /
幺正极限

We investigate the dynamics of a quantized vortex in a trapped superfluid Fermi gas near the unitarity limit. By taking a trial wave function for the order-parameter of a condensate in a rotating axisymmetric trap confinement and using a time-dependent variational analysis we obtain the equations of motion and their solutions for anomalous mode. The results show that the critical rotating frequency of the trap increases when the system ranges from the left to the right side of the unitarity limit, while the period of the vortex decreases in this regime.

Keywords:

Fermi gas /
vortex /
unitarity limit

作者及机构信息

1.
江苏科技大学数理学院, 镇江 212003;

2.
新疆师范大学物理与电子工程学院, 乌鲁木齐 830054

基金项目: 国家自然科学基金(批准号: 11047101, 11105039, 11205071, 11264039)资助的课题.

Authors and contacts

1.
School of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang 212003, China;

2.
School of Physics and Electronic Engineering, Xinjiang Normal University, Urumuchi 830054, China

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11047101, 11105039, 11205071, 11264039).

参考文献

[1]	Giorgini S, Pitaevskii L P, Stringari S 2008 Rev. Mod. Phys. 80 1215
[2]	Zwerger W 2012 The BCS-BEC Crossover and the Unitary Fermi Gas (Berlin: Springer-Verlag)
[3]	Chin C, Grimm R, Julienne P, Tiesinga E 2010 Rev. Mod. Phys. 82 1225
[4]	Fetter A L 2009 Rev. Mod. Phys. 81 647
[5]	Kinast K, Turlapov A, Thomas J E 2005 Phys. Rev. Lett. 94 170404
[6]	Stringari S 2004 Europhys. Lett. 64 749
[7]	Kim Y E, Zubarev A L 2004 Phys. Rev. A 70 033612
[8]	Wen W, Li H J, Chen B Y 2012 Acta Phys. Sin. 61 220306 (in Chinese) [文文, 李慧军, 陈秉岩 2012 物理学报 61 220306]
[9]	Yin J, Ma Y L, Huang G 2006 Phys. Rev. A 74 013609
[10]	Adhikari S K 2010 J. Phys. B: At. Mol. Opt. Phys. 43 085304
[11]	Yang S R, Cai H Q, Qi W, Xue J K 2011 Acta Phys. Sin. 60 060304 (in Chinese) [杨树荣, 蔡宏强, 漆伟, 薛具奎 2011 物理学报 60 060304]
[12]	Salasnich L 2011 Europhys. Lett. 96 40007
[13]	Liu K, Chen J S 2010 Chin. Phys. B 20 020501
[14]	Manini N, Salasnich L 2005 Phys. Rev. A 71 033625
[15]	Pitaevskii L, Stringari S 2002 Science 298 2144
[16]	Hu H, Liu X J 2007 Phys. Rev. A 75 011603
[17]	Linn M, Fetter A L 1999 Phys. Rev. A 60 4910
[18]	Fetter A L, Svidzinsky A A 2001 J. Phys.: Condens. Matter 13 R135
[19]	Zhukov A V, Belonenko M B, Paliy M, George T F 2011 J. Phys. B: At. Mol. Opt. Phys. 44 165301

施引文献

[1]	Giorgini S, Pitaevskii L P, Stringari S 2008 Rev. Mod. Phys. 80 1215
[2]	Zwerger W 2012 The BCS-BEC Crossover and the Unitary Fermi Gas (Berlin: Springer-Verlag)
[3]	Chin C, Grimm R, Julienne P, Tiesinga E 2010 Rev. Mod. Phys. 82 1225
[4]	Fetter A L 2009 Rev. Mod. Phys. 81 647
[5]	Kinast K, Turlapov A, Thomas J E 2005 Phys. Rev. Lett. 94 170404
[6]	Stringari S 2004 Europhys. Lett. 64 749
[7]	Kim Y E, Zubarev A L 2004 Phys. Rev. A 70 033612
[8]	Wen W, Li H J, Chen B Y 2012 Acta Phys. Sin. 61 220306 (in Chinese) [文文, 李慧军, 陈秉岩 2012 物理学报 61 220306]
[9]	Yin J, Ma Y L, Huang G 2006 Phys. Rev. A 74 013609
[10]	Adhikari S K 2010 J. Phys. B: At. Mol. Opt. Phys. 43 085304
[11]	Yang S R, Cai H Q, Qi W, Xue J K 2011 Acta Phys. Sin. 60 060304 (in Chinese) [杨树荣, 蔡宏强, 漆伟, 薛具奎 2011 物理学报 60 060304]
[12]	Salasnich L 2011 Europhys. Lett. 96 40007
[13]	Liu K, Chen J S 2010 Chin. Phys. B 20 020501
[14]	Manini N, Salasnich L 2005 Phys. Rev. A 71 033625
[15]	Pitaevskii L, Stringari S 2002 Science 298 2144
[16]	Hu H, Liu X J 2007 Phys. Rev. A 75 011603
[17]	Linn M, Fetter A L 1999 Phys. Rev. A 60 4910
[18]	Fetter A L, Svidzinsky A A 2001 J. Phys.: Condens. Matter 13 R135
[19]	Zhukov A V, Belonenko M B, Paliy M, George T F 2011 J. Phys. B: At. Mol. Opt. Phys. 44 165301

姓名
邮箱
手机号码
标题
留言内容
验证码

搜索

留言板