Reduced one-body density matrix of Tonks–Girardeau gas at finite temperature

doi:10.1088/1674-1056/24/9/090501

中国物理B ›› 2015, Vol. 24 ›› Issue (9): 90501-090501.doi: 10.1088/1674-1056/24/9/090501

Reduced one-body density matrix of Tonks–Girardeau gas at finite temperature

傅笑晨, 郝亚江

Department of Physics, University of Science and Technology Beijing, Beijing 100083, China

收稿日期:2015-04-03 修回日期:2015-04-21 出版日期:2015-09-05 发布日期:2015-09-05
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11004007) and the Fundamental Research Funds for the Central Universities of China.

Reduced one-body density matrix of Tonks–Girardeau gas at finite temperature

Fu Xiao-Chen (傅笑晨), Hao Ya-Jiang (郝亚江)

Department of Physics, University of Science and Technology Beijing, Beijing 100083, China

Received:2015-04-03 Revised:2015-04-21 Online:2015-09-05 Published:2015-09-05
Contact: Hao Ya-Jiang E-mail:haoyj@ustb.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11004007) and the Fundamental Research Funds for the Central Universities of China.

摘要/Abstract

摘要：

With thermal Bose-Fermi mapping method, we investigate the Tonks-Girardeau gas at finite temperature. It is shown that at low temperature, the Tonks gas displays the Fermi-like density profiles, and with the increase in temperature, the Tonks gas distributes in wider region. The reduced one-body density matrix is diagonal dominant in the whole temperature region, and the off-diagonal elements shall vanish rapidly with the deviation from the diagonal part at high temperature.

关键词: Tonks-Girardeau gas, finite temperature, reduced one-body density matrix

Abstract:

Key words: Tonks-Girardeau gas, finite temperature, reduced one-body density matrix

中图分类号: (Boson systems)

05.30.Jp

03.75.Hh (Static properties of condensates; thermodynamical, statistical, and structural properties) 67.85.-d (Ultracold gases, trapped gases)

傅笑晨, 郝亚江. Reduced one-body density matrix of Tonks–Girardeau gas at finite temperature[J]. 中国物理B, 2015, 24(9): 90501-090501.

Fu Xiao-Chen (傅笑晨), Hao Ya-Jiang (郝亚江). Reduced one-body density matrix of Tonks–Girardeau gas at finite temperature[J]. Chin. Phys. B, 2015, 24(9): 90501-090501.

参考文献 32

[1]	Stöferle T, Moritz H, Schori C, Köhl M and Esslinger T 2004 Phys. Rev. Lett. 92 130403
[2]	Paredes B, Widera A, Murg V, Mandel Q, Fölling S, Cirac I, Shlyapnikov G V, Hänsch T W and Bloch I 2004 Nature 429 277
[3]	Kinoshita T, Wenger T and Weiss D S 2004 Science 305 1125
[4]	Haller E, Mark M J, Hart R, Danzl J G, Röllner L, Melezhik V, Schmelcher P and Nägerl H 2010 Phys. Rev. Lett. 104 153203
[5]	Jacqmin T, Armijo J, Berrada T, Kheruntsyan K V and Bouchoule I 2011 Phys. Rev. Lett. 106 230405
[6]	Girardeau M D 1960 J. Math. Phys. 1 516
[7]	Girardeau M D 1965 Phys. Rev. 139 B500
[8]	Tonks L 1936 Phys. Rev. 50 955
[9]	Astrakharchik G E, Boronat J, Casulleras J and Giorgini S 2005 Phys. Rev. Lett. 95 190407
[10]	Batchelor M T, Bortz M, Guan X W and Oelkers N 2005 J. Stat. Mech.: Theory Exp. L10001
[11]	Chen S, Guan L, Yin X, Hao Y and Guan X W 2010 Phys. Rev. A 81 031609(R)
[12]	Chen S, Guan X W, Yin X, Guan L and Batchelor M T 2010 Phys. Rev. A 81 031608(R)
[13]	Guan L and Chen S 2010 Phys. Rev. Lett. 105 175301
[14]	Wang L, Hao Y and Chen S 2010 Phys. Rev. A 81 063637
[15]	Hoffman M D, Javernick P D, Loheac A C, Porter W J, Anderson E R and Drut J E 2015 Phys. Rev. A 91 033618
[16]	Kheruntsyan K V, Gangardt D M, Drummond P D and Shlyapnikov G V 2003 Phys. Rev. Lett. 91 040403
[17]	Bouchoule I, Kheruntsyan K V and Shlyapnikov G V 2007 Phys. Rev. A 75 031606
[18]	Zhou Q, Lu J F and Yin J P 2010 Chin. Phys. B 19 093202
[19]	Dunjko V, Lorent V and Olshanii M 2001 Phys. Rev. Lett. 86 5413
[20]	Hao Y, Zhang Y, Liang J Q and Chen S 2006 Phys. Rev. A 73 063617
[21]	Fuchs J N, Gangardt D M, Keilmann T and Shlyapnikov G V 2005 Phys. Rev. Lett. 95 150402
[22]	Guan L, Chen S, Wang Y and Ma Z Q 2009 Phys. Rev. Lett. 102 160402
[23]	Batchelor M T, Bortz M, Guan X W and Oelkers N 2006 J. Stat. Mech. P03016
[24]	Deuretzbacher F, Bongs K, Sengstock K and Pfannkuche D 2007 Phys. Rev. A 75 013614
[25]	Hao Y and Chen S 2009 Eur. Phys. J. D 51 261
[26]	Hao Y, Zhang Y, Guan X W and Chen S 2009 Phys. Rev. A 79 033607
[27]	Olshanii M 1998 Phys. Rev. Lett. 81 938
[28]	Bergeman T, Moore M G and Olshanii M 2003 Phys. Rev. Lett. 91 163201
[29]	Lenard A 1966 J. Math. Phys. 7 1268
[30]	Das K K, Girardeau M D and Wright E M 2002 Phys. Rev. Lett. 89 170404
[31]	Vignolo P and Minguzzi A 2013 Phys. Rev. Lett. 110 020403
[32]	Yang C N 1962 Rev. Mod. Phys. 34 694

Reduced one-body density matrix of Tonks–Girardeau gas at finite temperature

Reduced one-body density matrix of Tonks–Girardeau gas at finite temperature

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 32

相关文章 1

Metrics

本文评价

推荐阅读 0