有限温度下一维Gaudin-Yang模型的热力学性质

张天宝; 俞玄平; 陈阿海

doi:10.7498/aps.64.156402

摘要

本文通过数值求解有限温度下一维均匀费米Gaudin-Yang模型的热力学Bethe-ansatz方程, 研究了此模型的基本性质,得到了在给定的温度或给定的相互作用下, 化学势、相互作用、粒子密度和熵的相互变化图像. 对结果分析发现, 在给定温度和相互作用下, 熵随着化学势的变化有一个量子临界区域.

关键词:

作者及机构信息

1.
浙江师范大学物理系, 金华 321004;

2.
伦敦大学学院物理与天文学系, 伦敦 WC1E 6BT

基金项目: 国家自然科学基金(批准号: 11174253, 11374266)和浙江省自然科学基金(批准号: R6110175)资助的课题．

参考文献

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[2]	Feshbach H 1958 Ann. Phys. 5 357
[3]	Tiesinga E, Verhaar B J, Stoof H T C 1993 Phys. Rev. A 47 4114
[4]	DeMarco B, Jin D S 1999 Science 285 1703
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[7]	Cazalilla M A, Citro R, Giamarchi T, Orignac E, Rigol M 2011 Rev. Mod. Phys. 83 1405
[8]	Guan X W, Batchelor M T, Lee C H 2013 Rev. Mod. Phys. 85 1633
[9]	Gao X L 2010 Phys. Rev. B 81 104306
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[16]	Gaudin M 1967 Phys. Lett. A 24 55
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[33]	Usuki T, Kawakami N, Okiji A 1990 J.Phys. Soc. Jpn. 59 1357
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[35]	Suzuki M, Inoue M 1987 Prog. Theor. Phys. 78 787
[36]	Jttner G, Klmper A, Suzuki J 1998 Nucl. Phys. B 522 471
[37]	Klmper A, Bariev R Z 1996 Nucl. Phys. B 458 623
[38]	Takahashi M, Shiroishi M 2002 Phys. Rev. B 65 165104
[39]	Khatami E, Rigol M 2011 Phys. Rev. A 84 053611
[40]	Wolak M J, Rousseau V G, Miniatura C, Grémaud B, Scalettar R T, Batrouni G G 2010 Phys. Rev. A 82 013614
[41]	Snyder A, Tanabe I, De Silva T 2011 Phys. Rev. A 83 063632
[42]	Carmelo J M P, Gu S J, Sampaio M J 2014 J. Phys. 47 255004
[43]	Carmelo J M P, Gu S J, Sacramento P D 2013 Ann. Phys. 339 484
[44]	Chen F, Ying H P, Xu T F, Li W Z 1994 Acta Phys. Sin. 43 1672 (in Chinese) [陈锋, 应和平, 徐铁锋, 李文铸 1994 物理学报 43 1672]
[45]	Gao X L, Chen A H, Tokatly I V, Kurth S 2012 Phys. Rev. B 86 235139
[46]	Campo V L 2014 arXiv:1407.6726vl
[47]	Olshanii M 1998 Phys. Rev. Lett. 81 938
[48]	Dunjko V, Lorent V, Olshanii M 2001 Phys. Rev. Lett. 86 5413
[49]	Hu J H, Wang J J, Gao X L, Okumura M, Igarashi R, Yamada S, Machida M 2010 Phys. Rev. B 82 014202
[50]	Wei F X,Gao X L 2014 Journal of Zhejiang Normal University (Nat. Sci.) 37 54 (in Chinese) [卫福霞, 高先龙 2014 浙江师范大学学报(自然科学版) 37 54]

施引文献

[1]	Anderson M H, Ensher J R, Matthews M R, Wieman C E, Cornell E A 1995 Science 269 198
[2]	Feshbach H 1958 Ann. Phys. 5 357
[3]	Tiesinga E, Verhaar B J, Stoof H T C 1993 Phys. Rev. A 47 4114
[4]	DeMarco B, Jin D S 1999 Science 285 1703
[5]	Köhl M, Moritz H, Stöferle T, Gnter K, Esslinger T 2005 Phys. Rev. Lett. 94 080403
[6]	Geng T, Yan S B, Wang Y H, Yang H J, Zhang T C, Wang J M 2005 Acta Phys. Sin. 54 5104 (in Chinese) [耿涛, 闫树斌, 王彦华, 杨海菁, 张天才, 王军民 2005 物理学报 54 5104]
[7]	Cazalilla M A, Citro R, Giamarchi T, Orignac E, Rigol M 2011 Rev. Mod. Phys. 83 1405
[8]	Guan X W, Batchelor M T, Lee C H 2013 Rev. Mod. Phys. 85 1633
[9]	Gao X L 2010 Phys. Rev. B 81 104306
[10]	Li W, Gao X L, Kollath C, Polini M 2008 Phys. Rev. B 78 195109
[11]	Xu Z J, Liu X Y 2011 Acta Phys. Sin. 60 120305 (in Chinese) [徐志君, 刘夏吟 2011 物理学报 60 120305]
[12]	Astrakharchik G E, Blume D, Giorgini S, Pitaevskii L P 2004 Phys. Rev. Lett. 93 050402
[13]	van Amerongen A H, van Es J J P, Wicke P, Kheruntsyan K V, van Druten N J 2008 Phys. Rev. Lett. 100 090402
[14]	Moritz H, Stöferle T, Köhl M, Esslinger T 2003 Phys. Rev. Lett. 91 250402
[15]	Yang C N 1967 Phys. Rev. Lett. 19 1312
[16]	Gaudin M 1967 Phys. Lett. A 24 55
[17]	Menotti C, Stringari S 2002 Phys. Rev. A 66 043610
[18]	Gao X L, Asgari R 2008 Phys. Rev. A 77 033604
[19]	Gao X L, Polini M, Asgari R, Tosi M P 2006 Phys. Rev. A 73 033609
[20]	Guan L M, Chen S, Wang Y P, Ma Z Q 2009 Phys. Rev. Lett. 102 160402
[21]	Takahashi M 1971 Prog. Theor. Phys. 46 1388
[22]	Hu H, Gao X L, Liu X J 2014 Phys. Rev. A 90 013622
[23]	Lee J Y, Guan X W, Sakai K, Batchelor M T 2012 Phys. Rev. B 85 085414
[24]	Chen Y Y, Jiang Y Z, Guan X W, Zhou Q 2014 Nat. Commun. 5
[25]	Hoffman M D, Javernick P, Loheac A C, Porter W J, Anderson E R, Drut J E 2014 arXiv:1410.7370vl
[26]	Zhao E, Guan X W, Liu W V, Batchelor M T, Oshikawa M 2009 Phys. Rev. Lett. 103 140404
[27]	Batchelor M T, Foerster A, Guan X W, Kuhn C C N 2010 J. Stat. Mech. P12014
[28]	Klmper A, Pâţu O I 2011 Phys. Rev. A 84 051604
[29]	Kheruntsyan K V, Gangardt D M, Drummond P D, Shlyapnikov G V 2003 Phys. Rev. Lett. 91 040403
[30]	Kheruntsyan K V, Gangardt D M, Drummond P D, Shlyapnikov G V 2005 Phys. Rev. A 71 053615
[31]	Takahashi M 1972 Prog. Theor. Phys. 47 69
[32]	Usuki T, Kawakami N, Okiji A 1989 Phys. Lett. A 135 476
[33]	Usuki T, Kawakami N, Okiji A 1990 J.Phys. Soc. Jpn. 59 1357
[34]	Suzuki M 1985 Phys. Rev. B 31 2957
[35]	Suzuki M, Inoue M 1987 Prog. Theor. Phys. 78 787
[36]	Jttner G, Klmper A, Suzuki J 1998 Nucl. Phys. B 522 471
[37]	Klmper A, Bariev R Z 1996 Nucl. Phys. B 458 623
[38]	Takahashi M, Shiroishi M 2002 Phys. Rev. B 65 165104
[39]	Khatami E, Rigol M 2011 Phys. Rev. A 84 053611
[40]	Wolak M J, Rousseau V G, Miniatura C, Grémaud B, Scalettar R T, Batrouni G G 2010 Phys. Rev. A 82 013614
[41]	Snyder A, Tanabe I, De Silva T 2011 Phys. Rev. A 83 063632
[42]	Carmelo J M P, Gu S J, Sampaio M J 2014 J. Phys. 47 255004
[43]	Carmelo J M P, Gu S J, Sacramento P D 2013 Ann. Phys. 339 484
[44]	Chen F, Ying H P, Xu T F, Li W Z 1994 Acta Phys. Sin. 43 1672 (in Chinese) [陈锋, 应和平, 徐铁锋, 李文铸 1994 物理学报 43 1672]
[45]	Gao X L, Chen A H, Tokatly I V, Kurth S 2012 Phys. Rev. B 86 235139
[46]	Campo V L 2014 arXiv:1407.6726vl
[47]	Olshanii M 1998 Phys. Rev. Lett. 81 938
[48]	Dunjko V, Lorent V, Olshanii M 2001 Phys. Rev. Lett. 86 5413
[49]	Hu J H, Wang J J, Gao X L, Okumura M, Igarashi R, Yamada S, Machida M 2010 Phys. Rev. B 82 014202
[50]	Wei F X,Gao X L 2014 Journal of Zhejiang Normal University (Nat. Sci.) 37 54 (in Chinese) [卫福霞, 高先龙 2014 浙江师范大学学报(自然科学版) 37 54]

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有限温度下一维Gaudin-Yang模型的热力学性质

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作者及机构信息

1.
浙江师范大学物理系, 金华 321004;

2.
伦敦大学学院物理与天文学系, 伦敦 WC1E 6BT

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有限温度下一维Gaudin-Yang模型的热力学性质

English Abstract

Thermodynamic properties of one-dimensional Gaudin-Yang model at finite temperature

1.
Department of Physics, Zhejiang Normal University, Jinhua 321004, China;

2.
Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, United Kingdom.

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有限温度下一维Gaudin-Yang模型的热力学性质

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作者及机构信息

1. 浙江师范大学物理系, 金华 321004; 2. 伦敦大学学院物理与天文学系, 伦敦 WC1E 6BT

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有限温度下一维Gaudin-Yang模型的热力学性质

English Abstract

Thermodynamic properties of one-dimensional Gaudin-Yang model at finite temperature

1. Department of Physics, Zhejiang Normal University, Jinhua 321004, China; 2. Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, United Kingdom.

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1.
浙江师范大学物理系, 金华 321004;

2.
伦敦大学学院物理与天文学系, 伦敦 WC1E 6BT

1.
Department of Physics, Zhejiang Normal University, Jinhua 321004, China;

2.
Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, United Kingdom.