A thermal entangled quantum refrigerator based on a two-qubit Heisenberg model with Dzyaloshinskii-Moriya interaction in an external magnetic field

doi:10.1088/1674-1056/22/5/050512

Abstract Based on an isotropic two spin-1/2 qubits Heisenberg model with the Dzyaloshinskii-Moriya interaction in an external magnetic field, we have constructed an entangled quantum refrigerator. Expressions for the basic thermodynamic quantities, i.e., the heat exchanged, the net work input, and the coefficient of performance, are derived. Some intriguing features and their qualitative explanations in zero and non zero magnetic fields are given. The influence of the thermal entanglement on the refrigerator is investigated. The results obtained here have general significance and will be helpful to understand the performance of an entangled quantum refrigerator.

Keywords: Heisenberg model thermal entanglement concurrence entangled refrigerator

Received: 24 August 2012
Revised: 13 November 2012
Accepted manuscript online:

PACS:	05.70.Ln	(Nonequilibrium and irreversible thermodynamics)
	03.65.Ud	(Entanglement and quantum nonlocality)
	07.20.Pe	(Heat engines; heat pumps; heat pipes)

Fund: Project supported by the Program for Excellent Young Teachers Foundation of Shanghai, China (Grant No. thc-20100036).

Corresponding Authors: Wang Hao
E-mail: shnuwh@163.com

Cite this article:

Wang Hao (汪浩), Wu Guo-Xing (吴国兴) A thermal entangled quantum refrigerator based on a two-qubit Heisenberg model with Dzyaloshinskii-Moriya interaction in an external magnetic field 2013 Chin. Phys. B 22 050512

[1]	Einstein A, Podolsky B and Rosen N 1935 Phys. Rev. 47 777
[2]	Ye L and Guo G C 2002 Chin. Phys. 11 996
[3]	Hagley E, Maitre X, Nogues G, Wunderlich C, Brune M, Raimond J M and Haroche S 1997 Phys. Rev. Lett. 79 1
[4]	Ekert A K 1991 Phys. Rev. Lett. 67 661
[5]	Buek V and Hillery M 1996 Phys. Rev. A 54 1844
[6]	Xu J S, Xu X Y, Li C F, Zhang C J, Zou X B and Guo G C 2010 Nat. Commun. 1 7
[7]	Cui J, Gu M, Kwek L C, Santos M F, Fan H and Vedral V 2012 Nat. Commun. 3 812
[8]	Wang X G 2002 Phys. Rev. A 66 034302
[9]	Loss D and Divincenzo D P 1998 Phys. Rev. A 57 120
[10]	Burkard G, Loss D and DiVincenzo D P 1999 Phys. Rev. B 59 2070
[11]	Kane B E 1998 Nature 393 133
[12]	Vrijen R, Yablonovitch E, Wang K, Jiang H W, Balandin A, Roychowdhury V, Mor T and DiVincenzo D 2000 Phys. Rev. A 62 012306
[13]	Sorensen A and Molmer K 1999 Phys. Rev. Lett. 83 2274
[14]	Nielsen M A 1998 Quantum Information Theory (Ph.D. thesis) (Albuquerque: The University of New Mexico)
[15]	Allahverdyan A E, Gracia R S and Nieuwenhuizen T M 2005 Phys. Rev. E 71 046106
[16]	Feldmann T and Kosloff R 2003 Phys. Rev. E 68 016101
[17]	Segal D and Nitzan A 2006 Phys. Rev. E 73 026109
[18]	Erez N, Gordon G, Nest M and Kurizki G 2008 Nature 452 724
[19]	Quan H T, Liu Y X, Sun C P and Nori F 2007 Phys. Rev. E 76 031105
[20]	Scully M O, Zubairy M S, Agarwal G S and Walther H 2003 Science 299 862
[21]	Scully M O 2002 Phys. Rev. Lett. 88 050602
[22]	Scully M O 2001 Phys. Rev. Lett. 87 220601
[23]	Allahverdyan A E and Nieuwenhuizen T M 2000 Phys. Rev. Lett. 85 1799
[24]	Quan H T, Wang Y D, Liu Y X, Sun C P and Nori F 2006 Phys. Rev. Lett. 97 180402
[25]	Thomas G and Ramandeep S J 2011 Phys. Rev. E 83 031135
[26]	Chotorlishvili L, Toklikishvili Z and Berakdar J 2011 J. Phys. A: Math. Theor. 44 165303
[27]	Wang H, Liu S and He J 2009 Phys. Rev. E 79 041113
[28]	Zhang T, Liu W, Chen P and Li C 2007 Phys. Rev. A 75 062102
[29]	Zhang G F, 2008 Eur. Phys. J. D 49 123
[30]	He J Z, He X and Zheng J 2012 Chin. Phys. B 21 050303
[31]	Zheng J, He J Z and He X 2011 Commun. Theor. Phys. 56 301
[32]	Wang H, Wu G X and Chen D J 2012 Phys. Scr. 86 015001
[33]	He J Z, He X and Zheng J 2012 Int. J. Theor. Phys. 51 2066
[34]	Hill S and Wootters W K 1997 Phys. Rev. Lett. 78 5022

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A thermal entangled quantum refrigerator based on a two-qubit Heisenberg model with Dzyaloshinskii-Moriya interaction in an external magnetic field

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