Entangled quantum heat engine based on two-qubit Heisenberg XY model

doi:10.1088/1674-1056/21/5/050303

Abstract Based on a two-qubit isotropic Heisenberg XY model under a constant external magnetic field, we construct a four-level entangled quantum heat engine (QHE). The expressions for the heat transferred, the work, and the efficiency are derived. Moreover, the influence of the entanglement on the thermodynamic quantities is investigated analytically and numerically. Several interesting features of the variations of the heat transferred, the work, and the efficiency with the concurrences of the thermal entanglement of two different thermal equilibrium states in zero and nonzero magnetic fields are obtained.

Keywords: isotropic Heisenberg XY model thermal entanglement quantum heat engine performance characteristics

Received: 14 April 2011
Revised: 27 April 2012
Accepted manuscript online:

PACS:	03.65.Ud	(Entanglement and quantum nonlocality)
	05.70.-a	(Thermodynamics)
	07.20.Pe	(Heat engines; heat pumps; heat pipes)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11065008)

Cite this article:

He Ji-Zhou(何济洲), He Xian(何弦), and Zheng Jie(郑洁) Entangled quantum heat engine based on two-qubit Heisenberg XY model 2012 Chin. Phys. B 21 050303

[1]	Kosloff R 1984 J. Chem. Phys. 80 1625
[2]	Geva E and Kosloff R 1992 J. Chem. Phys. 96 3054
[3]	Geva E and Kosloff R 1992 J. Chem. Phys. 97 4398
[4]	Lin B H and Chen J C 2003 Phys. Rev. E 67 046105
[5]	Lin B H and Chen J C 2005 Phys. Scr. 71 12
[6]	Wang J H, He J Z and Mao Z Y 2007 Science in China Series G:Phys. Mech. Astro. 50 163
[7]	He J Z, He X and Tang W 2009 Science in China Series G:Phys. Mech. Astro. 52 1317
[8]	Rezek Y and Kosloff R 2006 New J. Phys. 8 1
[9]	He J Z, Chen J C and Hua B 2002 Phys. Rev. E 65 036145
[10]	Wu F, Chen L G, Sun F R, Wu C and Li Q 2006 Phys. Rev. E 73 016103
[11]	Feldmann T and Kosloff R 2000 Phys. Rev. E 61 4774
[12]	Feldmann T and Kosloff R 2003 Phys. Rev. E 68 016101
[13]	Feldmann T and Kosloff R 2004 Phys. Rev. E 70 046110
[14]	Wu F, Chen L G, Wu S, Sun F R and Wu C 2006 J. Chem. Phys. 124 214702
[15]	Wang J H, He J Z and Xin Y 2007 Phys. Scr. 75 227
[16]	Wu F, Chen L G, Wu S and Sun F R 2006 J. Phys. D:Appl. Phys. 39 4731
[17]	He J Z, Xin Y and He X 2007 Applied Energy 84 176
[18]	Quan H T, Liu Y X, Sun C P and Nori F 2007 Phys. Rev. E 76 031105
[19]	Quan H T, Zhang P and Sun C P 2006 Phys. Rev. E 73 036122
[20]	Bender C M, Brody D C and Meister B K 2000 J. Phys. A:Math. Gen. 33 4427
[21]	Scully M O, Zubairy M S, Agarwal G S and Walther H 2003 Science 299 862
[22]	Scully M O 2001 Phys. Rev. Lett. 87 220601
[23]	Henrich M J, Mahler G and Michel M 2007 Phys. Rev. E 75 051118
[24]	Arnaud J, Chusseau L and Philippe F 2008 Phys. Rev. E 77 061102
[25]	Kieu T D 2004 Phys. Rev. Lett. 93 140403
[26]	Allahverdyan A E, Serral G R and Nieuwenhuizen T M 2005 Phys. Rev. E 71 046106
[27]	Allahverdyan A E, Johal R S and Mahler G 2008 Phys. Rev. E 77 041118
[28]	Quan H T, Zhang P and Sun C P 2005 Phys. Rev. E 72 056110
[29]	Xi X Q, Chen W X, Hao S R and Yue R H 2002 Phys. Lett. A 300 567
[30]	Wang X G 2001 Phys. Rev. A 64 012313
[31]	Wootters W K 1998 Phys. Rev. Lett. 80 2245
[32]	Arnesen M C, Bose S and Vedral V 2001 Phys. Rev. Lett. 87 017901
[33]	Guo Z, Yan L S, Pan W, Luo B and Xu M F 2011 Acta Phys. Sin. 60 060301 (in Chinese)
[34]	Lu D M 2011 Acta Phys. Sin. 60 090302 (in Chinese)
[35]	Zhang T, Liu W T, Chen P X and Li C Z 2007 Phys. Rev. A 75 062102
[36]	Wang H, Liu S Q and He J Z 2009 Phys. Rev. E 79 041113
[37]	Zhang G F 2008 Eur. Phys. J. D 49 123
[38]	Messiah A 1999 Quantum Mechanics (New York:Dover)

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