费米超流气体的非线性Rosen-Zener隧穿

蒙红娟; 杨阳; 王文元; 祁鹏堂; 马云云; 马莹; 王善进; 段文山

doi:10.7498/aps.61.060303

摘要

以非线性Rosen-Zener隧穿理论为基础, 用平均场近似的方法, 通过考虑高阶非线性项的影响, 研究了非线性两能级系统中费米超流气体的Rosen-Zener隧穿现象. 研究发现粒子间的非线性相互作用能够显著地影响量子隧穿. 分别在快扫描极限和绝热极限的条件下, 解释了Rosen-Zener隧穿现象, 并给出了矩形振荡周期与非线性参数之间的依赖关系. 这为更深入认识费米气体的基本属性提供了理论基础.

关键词:

费米超流气体 /
Rosen-Zener隧穿

Abstract

By considering the contribution of the higher order term representing the lowest approximation of beyond mean field correction and taking Roser-Zener tunneling as the underling process, we study the nonlinear Rosen-Zener transition of Fermi superfluid gas in a two-level system. We find that the nonlinearity can affect the quantun trasition in the fast scan limit and the adiabatic limit. We also derive the analytical expression for the of rectangular oscillation period dependent on nonlinear parameter. This provides a theoretical basis for a deeper understanding of the basis properties of Fermi gases.

Keywords:

Fermi superfluid gases /
Rosen-Zener transition

作者及机构信息

1.
西北师范大学物理与电子工程学院, 甘肃省原子分子物理与功能材料重点实验室, 兰州 730070;

2.
东莞理工学院电子工程学院, 东莞 523808

通信作者: 段文山, duanws@nwnu.edu.cn

基金项目: 国家自然科学基金(批准号:10725521,91021021,10875098)、国家重点基础研究发展计划(批准号:2007CB814800,2011CB921503)和西北师范大学自然科学基金(批准号:NWNU-KJCXGC-03-48)资助的课题．

Authors and contacts

1.
Key Laboratory of Atomic and Molecular Physics and Functional Materials of Gansu Province, College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China;

2.
School of Electronic Engineering, Dongguan University of Technology, Dongguan 523808 China

Corresponding author: Duan Wen-Shan, duanws@nwnu.edu.cn

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 10725521, 91021021, 10875098), the National Basic Research Program of China (Grant Nos. 2007CB814800, 2011CB921503), and the Natural Science Foundation of Northwest Normal University, China (Grant No. NWNU-KJCXGC-03-48).

参考文献

[1]	Bradley C C, Sackett C A, Tollett J J, Hulet R G 1995 Phys. Rev. Lett. 75 1687
[2]	Davis K B, Mewes M O, Andrews M R, van Druten N J, Durfee D S, Kurn D M, Ketterle W 1995 Phys. Rev. Lett. 75 3969
[3]	Anderson M H, Ensher J R, Matthews M R, Wieman C E, Cornell E A 1995 Science 269 198
[4]	DeMaico B, Jin D S 1999 Science 285 1703
[5]	Modugno G, Roati G, Riboli F, Ferlaino F, Brecha R J, Lnguscio M 2002 Science 297 2240
[6]	Regal C A, Ticknor C, Bohn J L, Jin D S 2003 Nature 424 47
[7]	Xiong H W, Lin S J, Zhang W P, Zhan M S 2005 Phys. Rev. Lett. 95 120401
[8]	Yuan D Q 2006 Acta Phys. Sin. 55 3912 (in Chinese)[袁都奇 2006 55 3912]
[9]	Men F D, Lin H, Zhu H Y 2008 Chin. Phys. B 17 3236
[10]	Qin F, Chen J S 2009 Chin. Phys. B 18 2654
[11]	Men F D, Liu H, Fan Z L, Zhu H Y 2009 Chin. Phys. B 18 2649
[12]	Fan Z L, Men F D, Dou R B 2010 Acta Phys. Sin. 59 3715 (in Chinese)[范召兰, 门福殿, 窦瑞波 2010 \ 59 3715]
[13]	Su G Z, Ou C J, Wang A Q P, Chen J C 2009 Chin. Phys. B 18 5189
[14]	Huang Z F, Ou C J, Chen J C 2009 Chin. Phys. B 18 1380
[15]	Rosen N, Zener C 1932 Phys. Rev. 40 502
[16]	Landau L D 1932 Phys. Z. Sowjetunion 2 46
[17]	Zener G 1932 Proc. R. Soc. London Ser. A 137 696
[18]	Kyoseva E S, Vitanov A I 2006 Phys. Rev. A 73 023420
[19]	Ye D F, Fu L B, Liu J 2008 Phys. Rev. A 77 013402
[20]	Ye D F, Fu L B, Liu J, Zhao H 2007 Acta Phys. Sin. 56 5071 (in Chinese)[叶地发, 傅立斌, 刘杰, 赵鸿 2007 56 5071]
[21]	Liu W M, Fan WB, Zheng W M, Liang J Q, Chui S T 2002 Phys. Rev. Lett. 88 170408
[22]	Wen W, Shen S Q, Huang G X 2010 Phys. Rev. B 81 014528
[23]	Ancilotto F, Salasnich L, Toigo F 2009 Phys. Rev. A 79 033627
[24]	Adhikari S K, Salasnich L 2008 Phys. Rev. A 78 043616
[25]	Adhikari S K, Salasnich L 2008 Phys. Rev. A 77 033618
[26]	Giorgini S, Pitaevskii L P, Stringeri S 2008 Rev. Mod. Phys. 80 1215
[27]	Adhikari S K, Lu H, Pu H 2009 Phys. Rev. A 80 063607
[28]	Liu J, Zhang C W, Raizen M G, Niu Q 2006 Phys. Rev. A 73 013601
[29]	Wang G F, Ye D F, Fu L B, Chen X Z, Liu J 2006 Phys. Rev. A 74 033414
[30]	Fu L B, Liu J 2006 Phys. Rev. A 73 063614
[31]	Tan WH, Yan K Z 2000 Acta Phys. Sin. 49 1909 (in Chinese)[谭维翰, 闫珂柱 2000 49 1909]
[32]	Wu Y, Yang X X 2007 Phys. Rev. Lett. 98 013601
[33]	Liu J, Fu L B, Ou B Y, Chen S G, Choi D I, Wu B, Niu Q 2002 Phys. Rev. A 66 023404

施引文献

[1]	Bradley C C, Sackett C A, Tollett J J, Hulet R G 1995 Phys. Rev. Lett. 75 1687
[2]	Davis K B, Mewes M O, Andrews M R, van Druten N J, Durfee D S, Kurn D M, Ketterle W 1995 Phys. Rev. Lett. 75 3969
[3]	Anderson M H, Ensher J R, Matthews M R, Wieman C E, Cornell E A 1995 Science 269 198
[4]	DeMaico B, Jin D S 1999 Science 285 1703
[5]	Modugno G, Roati G, Riboli F, Ferlaino F, Brecha R J, Lnguscio M 2002 Science 297 2240
[6]	Regal C A, Ticknor C, Bohn J L, Jin D S 2003 Nature 424 47
[7]	Xiong H W, Lin S J, Zhang W P, Zhan M S 2005 Phys. Rev. Lett. 95 120401
[8]	Yuan D Q 2006 Acta Phys. Sin. 55 3912 (in Chinese)[袁都奇 2006 55 3912]
[9]	Men F D, Lin H, Zhu H Y 2008 Chin. Phys. B 17 3236
[10]	Qin F, Chen J S 2009 Chin. Phys. B 18 2654
[11]	Men F D, Liu H, Fan Z L, Zhu H Y 2009 Chin. Phys. B 18 2649
[12]	Fan Z L, Men F D, Dou R B 2010 Acta Phys. Sin. 59 3715 (in Chinese)[范召兰, 门福殿, 窦瑞波 2010 \ 59 3715]
[13]	Su G Z, Ou C J, Wang A Q P, Chen J C 2009 Chin. Phys. B 18 5189
[14]	Huang Z F, Ou C J, Chen J C 2009 Chin. Phys. B 18 1380
[15]	Rosen N, Zener C 1932 Phys. Rev. 40 502
[16]	Landau L D 1932 Phys. Z. Sowjetunion 2 46
[17]	Zener G 1932 Proc. R. Soc. London Ser. A 137 696
[18]	Kyoseva E S, Vitanov A I 2006 Phys. Rev. A 73 023420
[19]	Ye D F, Fu L B, Liu J 2008 Phys. Rev. A 77 013402
[20]	Ye D F, Fu L B, Liu J, Zhao H 2007 Acta Phys. Sin. 56 5071 (in Chinese)[叶地发, 傅立斌, 刘杰, 赵鸿 2007 56 5071]
[21]	Liu W M, Fan WB, Zheng W M, Liang J Q, Chui S T 2002 Phys. Rev. Lett. 88 170408
[22]	Wen W, Shen S Q, Huang G X 2010 Phys. Rev. B 81 014528
[23]	Ancilotto F, Salasnich L, Toigo F 2009 Phys. Rev. A 79 033627
[24]	Adhikari S K, Salasnich L 2008 Phys. Rev. A 78 043616
[25]	Adhikari S K, Salasnich L 2008 Phys. Rev. A 77 033618
[26]	Giorgini S, Pitaevskii L P, Stringeri S 2008 Rev. Mod. Phys. 80 1215
[27]	Adhikari S K, Lu H, Pu H 2009 Phys. Rev. A 80 063607
[28]	Liu J, Zhang C W, Raizen M G, Niu Q 2006 Phys. Rev. A 73 013601
[29]	Wang G F, Ye D F, Fu L B, Chen X Z, Liu J 2006 Phys. Rev. A 74 033414
[30]	Fu L B, Liu J 2006 Phys. Rev. A 73 063614
[31]	Tan WH, Yan K Z 2000 Acta Phys. Sin. 49 1909 (in Chinese)[谭维翰, 闫珂柱 2000 49 1909]
[32]	Wu Y, Yang X X 2007 Phys. Rev. Lett. 98 013601
[33]	Liu J, Fu L B, Ou B Y, Chen S G, Choi D I, Wu B, Niu Q 2002 Phys. Rev. A 66 023404

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