带有Dzyaloshinski-Mariya相互作用的两比特XXZ模型的纠缠量子热机

王涛; 黄晓理; 刘洋; 许欢

doi:10.7498/aps.62.060301

摘要

以带有Dzyaloshinski-Mariya 相互作用的两比特XXZ模型为工作物质构建纠缠量子热机. 在量子热力学平衡态下, 采用Kieu的形式描述了做功与热传递.对于不同的各向异性参数, 分析了热机循环中量子纠缠与热传递、做功以及机械效率等热力学量之间的关系. 结果表明: 在这个纠缠体系中, 热力学第二定律依然成立; 机械效率的等值线图是环状曲线; 当各向异性参数Δ较小时, 热机在C1 > C2 和C1 C2 两区域运行, 当增大Δ值时, 热机只在C1 > C2 区域运行.

关键词:

量子热机 /
并发度 /
机械效率

Abstract

We construct an entangled quantum heat engine based on two-coupled-qubit XXZ model with Dzyaloshinski-Mariya interaction. The work done and the heat transfer are discussed according to the definition first given by Kieu, The relations between the entanglement and heat transfer, work output and efficiency are analyzed for different anisotropic parameters. The results show that the second law of thermodynamics holds in entangled systems and the isolines for the efficiency are looped curves. When the anisotropic parameter Δ is small enough, the heat engine can operate in both C1 > C2 and C1C2, however, when Δ is large, the heat engine operates in C1 > C2 only.

Keywords:

作者及机构信息

1.
辽宁师范大学物理与电子技术学院, 大连 116029

基金项目: 国家自然科学基金(批准号: 11105064)资助的课题.

Authors and contacts

1.
School of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, China

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11105064).

参考文献

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[11]	Quan H T, Liu Y X, Sun C P, Nori F 2007 Phys. Rev. E 76 031105
[12]	Quan H T, Zhang P, Sun C P 2006 Phys. Rev. E 73 036122
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[14]	Abe S, Okuyama S 2011 Phys. Rev. E 83 021121
[15]	Wang J H, He J Z, He X 2011 Phys. Rev. E 84 041127
[16]	Wang J H, He J Z 2012 J. Appl. Phys. 11 043505
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[20]	Dorfman K E, Kim M B, Svidzinsky A A 2011 Phys. Rev. A 84 053829
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[22]	Quan H T 2009 Phys. Rev. E 79 041129
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[28]	Guo Z, Yan L S, Pan W, Luo B, Xu M F 2011 Acta Phys. Sin. 60 060301 (in Chinese) [郭振, 闫连山, 潘伟, 罗斌, 徐明峰 2011 60 060301]
[29]	Lu D M 2011 Acta Phys. Sin. 60 090302 (in Chinese) [卢道明 2011 60 090302]
[30]	Zhang T, Liu W T, Chen P X, Li C Z 2007 Phys. Rev. A 75 062102
[31]	Zhang Y L, Zhou B 2011 Acta Phys. Sin. 60 120301 (in Chinese) [张英丽, 周斌 2011 60 120301]
[32]	He J Z, He X, Zheng J 2012 Chin. Phys. B 21 050303
[33]	Xie L J, Zhang D Y, Tang S Q, Zhan X G, Gao F 2009 Chin. Phys. B 18 3203
[34]	Wang H, Liu S Q, He J Z 2009 Phys. Rev. E 79 041113
[35]	Zhang G F 2008 Eur. Phys. J. D 49123
[36]	Dzyaloshkii I 1958 J. Phys. Chem. Sol. 4 241
[37]	Moriya T 1960 Phys. Rev. Lett. 4 228
[38]	Arnesen M C, Bose S, Vedral V 2001 Phys. Rev. Lett. 87 017901
[39]	Wootters W K 1998 Phys. Rev. Lett. 80 2245
[40]	Tong D M 2010 Phys. Rev. Lett. 104 12401
[41]	Zeng J Y 2007 Quantum Mechanics (Vol. 2) (Beijing: Science Press) p203 (in Chinese) [曾谨言 2007 量子力学 (卷II) (北京: 科学出版社)第203页]
[42]	Marzlin P K, Sanders B C 2004 Phys. Rev. Lett. 93 160408
[43]	Tong D M, Singh K, Kwek L C, Oh C H 2005 Phys. Rev. Lett. 95 110407
[44]	Tong D M, Singh K, Kwek L C, Oh C H 2007 Phys. Rev. Lett. 98 150402
[45]	Rigolin G, Ortiz G 2012 Phys. Rev. A 85 062111

施引文献

[1]	Scovil H E D, Schulz-DuBois E O 1959 Phys. Rev. Lett. 2 262
[2]	Geva E, Kosloff R 1992 J. Chem. Phys. 97 4398
[3]	Lloyd S 1997 Phys. Rev. A 56 3374
[4]	Kosloff R, Geva E, Gordon J 2000 J. Appl. Phys. 87 8093
[5]	Feldmann T, Kosloff R 2000 Phys. Rev. E 61 4774
[6]	He J Z, Chen J C, Hua B 2002 Phys. Rev. E 65 036145
[7]	Wu F, Chen L G, Sun F R, Wu C, Li Q 2006 Phys. Rev. E 73 016103
[8]	Wang J H, He J Z, Xin Y 2007 Phys. Scr. 75 227
[9]	Rezek Y, Kosloff R 2006 New J. Phys. 8 83
[10]	Bender C M, Brody D C, Meister B K 2000 J. Phys. A 33 4427
[11]	Quan H T, Liu Y X, Sun C P, Nori F 2007 Phys. Rev. E 76 031105
[12]	Quan H T, Zhang P, Sun C P 2006 Phys. Rev. E 73 036122
[13]	Henrich M J, Mahler G, Michel M 2007 Phys. Rev. E 75 051118
[14]	Abe S, Okuyama S 2011 Phys. Rev. E 83 021121
[15]	Wang J H, He J Z, He X 2011 Phys. Rev. E 84 041127
[16]	Wang J H, He J Z 2012 J. Appl. Phys. 11 043505
[17]	Wang J H, Xiong S Q, He J Z, Liu J T 2012 Acta Phys. Sin. 61 080509 (in Chinese) [王建辉, 熊双泉, 何济洲, 刘江涛 2012 61 080509]
[18]	Scully M O, Zubairy M S, Agarwal G S, Walther H 2003 Science 299 862
[19]	Scully M O 2010 Phys. Rev. Lett. 104 207701
[20]	Dorfman K E, Kim M B, Svidzinsky A A 2011 Phys. Rev. A 84 053829
[21]	Scully M O, Chapin K R, Dorfman K E, Kim M B, Svidzinsky A A 2011 Proc. Natl. Acad. Sci. 108 15097
[22]	Quan H T 2009 Phys. Rev. E 79 041129
[23]	Perrot P 1998 A to Z of Thermodynamics (New York: Oxford university press) p26, 103
[24]	Kieu T D 2004 Phys. Rev. Lett. 93 140403
[25]	Kieu T D 2006 Eur. Phys. J. D 39 115
[26]	Chen J, Yan Z 1998 J. Appl. Phys. 84 1791
[27]	Amico L, Fazio R, Osterloh A, Vedral V 2008 Rev. Mod. Phys. 80 517
[28]	Guo Z, Yan L S, Pan W, Luo B, Xu M F 2011 Acta Phys. Sin. 60 060301 (in Chinese) [郭振, 闫连山, 潘伟, 罗斌, 徐明峰 2011 60 060301]
[29]	Lu D M 2011 Acta Phys. Sin. 60 090302 (in Chinese) [卢道明 2011 60 090302]
[30]	Zhang T, Liu W T, Chen P X, Li C Z 2007 Phys. Rev. A 75 062102
[31]	Zhang Y L, Zhou B 2011 Acta Phys. Sin. 60 120301 (in Chinese) [张英丽, 周斌 2011 60 120301]
[32]	He J Z, He X, Zheng J 2012 Chin. Phys. B 21 050303
[33]	Xie L J, Zhang D Y, Tang S Q, Zhan X G, Gao F 2009 Chin. Phys. B 18 3203
[34]	Wang H, Liu S Q, He J Z 2009 Phys. Rev. E 79 041113
[35]	Zhang G F 2008 Eur. Phys. J. D 49123
[36]	Dzyaloshkii I 1958 J. Phys. Chem. Sol. 4 241
[37]	Moriya T 1960 Phys. Rev. Lett. 4 228
[38]	Arnesen M C, Bose S, Vedral V 2001 Phys. Rev. Lett. 87 017901
[39]	Wootters W K 1998 Phys. Rev. Lett. 80 2245
[40]	Tong D M 2010 Phys. Rev. Lett. 104 12401
[41]	Zeng J Y 2007 Quantum Mechanics (Vol. 2) (Beijing: Science Press) p203 (in Chinese) [曾谨言 2007 量子力学 (卷II) (北京: 科学出版社)第203页]
[42]	Marzlin P K, Sanders B C 2004 Phys. Rev. Lett. 93 160408
[43]	Tong D M, Singh K, Kwek L C, Oh C H 2005 Phys. Rev. Lett. 95 110407
[44]	Tong D M, Singh K, Kwek L C, Oh C H 2007 Phys. Rev. Lett. 98 150402
[45]	Rigolin G, Ortiz G 2012 Phys. Rev. A 85 062111

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