Please wait a minute...
Chin. Phys. B, 2012, Vol. 21(5): 050303    DOI: 10.1088/1674-1056/21/5/050303
GENERAL Prev   Next  

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

He Ji-Zhou(何济洲), He Xian(何弦), and Zheng Jie(郑洁)
Department of Physics, Nanchang University, Nanchang 330031, China
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)
[1] Thermal entanglement in a spin-1/2 Ising–Heisenberg butterfly-shaped chain with impurities
Meng-Ru Ma(马梦如), Yi-Dan Zheng(郑一丹), Zhu Mao(毛竹), and Bin Zhou(周斌). Chin. Phys. B, 2020, 29(11): 110308.
[2] Thermal quantum correlations of a spin-1/2 Ising-Heisenberg diamond chain with Dzyaloshinskii-Moriya interaction
Yidan Zheng(郑一丹), Zhu Mao(毛竹), Bin Zhou(周斌). Chin. Phys. B, 2018, 27(9): 090306.
[3] Thermal entanglement of the spin-1 Ising–Heisenberg diamond chain with biquadratic interaction
Yi-Dan Zheng(郑一丹), Zhu Mao(毛竹), Bin Zhou(周斌). Chin. Phys. B, 2017, 26(7): 070302.
[4] Thermal entanglement of the Ising–Heisenberg diamond chain with Dzyaloshinskii–Moriya interaction
Qiao Jie, Zhou Bin. Chin. Phys. B, 2015, 24(11): 110306.
[5] A thermal entangled quantum refrigerator based on a two-qubit Heisenberg model with Dzyaloshinskii-Moriya interaction in an external magnetic field
Wang Hao, Wu Guo-Xing. Chin. Phys. B, 2013, 22(5): 050512.
[6] Performance characteristics and optimal analysis of a nonlinear diode refrigerator
Wang Xiu-Mei(王秀梅), He Ji-Zhou(何济洲), and Liang Hong-Ni(梁红妮) vglue6pt . Chin. Phys. B, 2011, 20(2): 020503.
[7] Teleportation and thermal entanglement in two-qubit Heisenberg XYZ spin chain with the Dzyaloshinski–Moriya interaction and the inhomogeneous magnetic field
Gao Dan(高丹), Zhao Zhen-Shuang(赵振双), Zhu Ai-Dong(朱爱东), Wang Hong-Fu(王洪福), Shao Xiao-Qiang(邵晓强), and Zhang Shou(张寿). Chin. Phys. B, 2010, 19(9): 090313.
[8] Thermal entanglement in two-qutrit spin-1 anisotropic Heisenberg model with inhomogeneous magnetic field
Erhan Albayrak. Chin. Phys. B, 2010, 19(9): 090319.
[9] Quantum phase transition and entanglement in Heisenberg XX spin chain with impurity
Chen Shi-Rong(陈士荣), Xia Yun-Jie(夏云杰), and Man Zhong-Xiao(满忠晓). Chin. Phys. B, 2010, 19(5): 050304.
[10] Thermal entanglement in molecular spin rings
Hou Jing-Min(侯净敏), Du Long(杜龙), Ding Jia-Yan(丁伽焱), and Zhang Wen-Xin(张文新). Chin. Phys. B, 2010, 19(11): 110313.
[11] Pairwise thermal entanglement in a three-qubit Heisenberg XX model with a nonuniform magnetic field and Dzyaloshinski–Moriya interaction
Ren Jin-Zhong(任金忠), Shao Xiao-Qiang(邵晓强), Zhang Shou(张寿), and Yeon Kyu-Hwang. Chin. Phys. B, 2010, 19(10): 100307.
[12] Tunable thermal entanglement in an effective spin-star system using coupled microcavities
Yang Wan-Li(杨万里), Wei Hua(魏华), Feng Mang(冯芒), and An Jun-Hong(安钧鸿). Chin. Phys. B, 2009, 18(9): 3677-3686.
[13] Thermal entanglement in a two-qubit Heisenberg XY chain with the Dzyaloshinskii--Moriya interaction
Qin Meng(秦猛), Xu Sheng-Long(徐胜龙), Tao Ying-Juan(陶应娟), and Tian Dong-Ping(田东平). Chin. Phys. B, 2008, 17(8): 2800-2803.
[14] Thermal entanglement and teleportation of a thermally mixed entangled state of a Heisenberg chain through a Werner state
Huang Li-Yuan(黄利元) and Fang Mao-Fa(方卯发). Chin. Phys. B, 2008, 17(7): 2339-2345.
[15] Entanglement in a generalized Jaynes--Cummings model
Zhang Guo-Feng(张国锋) and Liu Jia(刘佳). Chin. Phys. B, 2007, 16(12): 3595-3600.
No Suggested Reading articles found!