两量子比特在两个热库中的稳态纠缠和热流

doi:10.3969/j.issn.1007-5461.2021.04.013

量子电子学报 ›› 2021, Vol. 38 ›› Issue (4): 504-516.doi: 10.3969/j.issn.1007-5461.2021.04.013

两量子比特在两个热库中的稳态纠缠和热流

王美姣1, 夏云杰2, 李英德1, 曹连振1, 杨阳1, 赵加强1∗

( 1 潍坊学院物理与光电工程学院, 山东省多光子纠缠与操纵重点实验室, 山东潍坊 261061; 2 曲阜师范大学物理工程学院, 山东省激光偏光与信息技术重点实验室, 山东曲阜 273165 )

收稿日期:2020-09-30 修回日期:2020-10-29 出版日期:2021-07-28 发布日期:2021-07-27
通讯作者: E-mail: zhaojiaqiang@wfu.edu.cn
作者简介:王美姣 ( 1990 - ), 女, 山东莱阳人, 博士, 讲师, 主要从事量子信息与量子光学方面的研究。E-mail: wangmeijiao@wfu.edu.cn
基金资助:
Supported by the Natural Science Foundation of Shandong Province (山东省自然科学基金, ZR2020KF017)

Steady-state entanglement and heat current of two-qubit in two heat baths

WANG Meijiao, XIA Yunjie, LI Yingde, CAO Lianzhen, YANG Yang, ZHAO Jiaqiang∗

(1 Shandong Provincial Key Laboratory of Multi-Photon Entanglement and Manipulation, Department of Physics and Optoelectronic Engineering, Weifang University, Weifang 261061, China; 2 Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, College of Physics and Engineering, Qufu Normal University, Qufu 273165, China)

Received:2020-09-30 Revised:2020-10-29 Published:2021-07-28 Online:2021-07-27
Contact: zhao jiaqiang

摘要/Abstract

摘要： 非平衡环境是量子系统应用中最常见的耗散因素之一。系统研究了两耦合量子比特在平衡和非平衡环境下的动力学演化和稳态解。结果表明: 在平衡热库中, 增强耦合强度、增大能量失谐以及适当提高热库温度都有利于纠缠的增强; 而在非平衡热库中, 平均温度低 (高) 时温度梯度会增强 (抑制) 纠缠。另外, 还研究了热流与能量失谐、耦合强度以及热库温度的关系, 发现对于分别处于两个独立热库和两个共同热库中的两量子比特, 相关参数对其演化和热流的影响是不同的。选择适当的耦合强度、能量失谐和温度梯度, 可以使两热库之间存在稳定热流, 从而获得系统的稳态纠缠。

关键词: 量子光学, 稳态纠缠, 热流, 独立热库和共同热库, 平衡和非平衡环境

Abstract: Non-equilibrium environment is one of the most common dissipative factors encountered in the application of quantum system. The dynamic evolution and steady-state solutions of two coupled qubits in both equilibrium and non-equilibrium environments are studied systematically. The results show that in the equilibrium bath, enhancing the coupling strength, increasing the energy detuning and raising the temperature of the heat bath are all beneficial to the enhancement of the entanglement. While in the non- equilibrium bath, the entanglement is enhanced (suppressed) with the increasing of the temperature gradient for the low (high) average temperature. In addition, the relationship between the heat current and the energy detuning, the coupling strength and the temperature of bath is also studied. It is found that for the two qubits in two independent heat baths or in two common heat baths, the influence of parameters on the evolution of the system and the heat current is different. By selecting appropriate coupling strength, energy detuning and temperature gradient, the stable heat current between two heat baths can be obtained, so the steady-state entanglement of the system.

Key words: quantum optics, steady-state entanglement, heat current, independent and common heat baths; equilibrium and non-equilibrium environment

中图分类号:

O431.2

王美姣, 夏云杰, 李英德, 曹连振, 杨阳, 赵加强∗. 两量子比特在两个热库中的稳态纠缠和热流[J]. 量子电子学报, 2021, 38(4): 504-516.

WANG Meijiao, XIA Yunjie, LI Yingde, CAO Lianzhen, YANG Yang, ZHAO Jiaqiang∗. Steady-state entanglement and heat current of two-qubit in two heat baths[J]. Chinese Journal of Quantum Electronics, 2021, 38(4): 504-516.

参考文献

[1] Nielsen M, Chuang I.Quantum Information and Computation [M]. Cambridge, Cambridge University Press, 2000.
[2]Liao J Q, Huang J F, Kuang L M.Quantum thermalization of two coupled two-level systems in eigenstate and bare-state representations[J].Phys. Rev. A, 2011, 83(5):052110-
[3]Huangfu Y, Jing J.Steady bipartite coherence induced by non-equilibrium environment[J].Sci. China Phys. Mech., 2018, 61(1):010311-
[4]Hu L Z, Man Z X, Xia Y J.Steady-state entanglement and thermalization of coupled qubits in two common heat baths[J].Quantum Inf. Process, 2018, 17(3):45-
[5] Wang C, Chen Q H.Exact dynamics of quantum correlations of two qubits coupled to bosonic baths [J].New J. Phys., 2013, 15:103020-
[6]Man Z X, Xia Y J, An N B.The transfer dynamics of quantum correlation between systems and reservoirs[J].J. Phys. B At. Mol. Opt. Phys., 2011, 44(9):095504-
[7]Man Z X, Xia Y J.Smallest quantum thermal machine: the effect of strong coupling and distributed thermal tasks[J].Phys. Rev. E, 2017, 96(1):012122-
[8]Brask J B, Brunner N.Small quantum absorption refrigerator in the transient regime: time scales,enhanced cooling,and entanglement[J].Phys. Rev. E, 2015, 92(6):062101-
[9]Sinaysky I, Petruccione F, Burgarth D.Dynamics of nonequilibrium thermal entanglement[J].Phys. Rev. A, 2008, 78(6):062301-
[10]Huang X L, Guo J L, Yi X X.Nonequilibrium thermal entanglement in a three-qubit XX model[J].Phys. Rev. A, 2009, 80(5):054301-
[11]Pumulo N, Sinayskiy I, Petruccione F.Non-equilibrium thermal entanglement for a three spin chain[J].Phys. Lett. A, 2011, 375(36):3157-3166
[12] Brask J B, Haack G, Brunner N, Huber M.Autonomous quantum thermal machine for generating steady-state entanglement [J].New J. Phys., 2015, 17:113029-
[13]Eisler V, Zimboras Z.Entanglement in the XX spin chain with an energy current[J].Phys. Rev. A, 2005, 71(4):042318-
[14]Quiroga L, Rodríguez F J, Ramírez M E, París R.Nonequilibrium thermal entanglement[J].Phys. Rev. A, 2007, 75(3):032308-
[15] Decordi G L, Vidiella-Barranco A.Two coupled qubits interacting with a thermal bath: A comparative study of different models [J].Opt. Commun., 2017, 387:366-
[16]Wang M J, Xia Y J.Steady-state entanglement and heat current of two coupled qubits in two baths without rotating wave approximation[J].Chin. Phys. B, 2019, 28(6):060303-
[17]Louisell W H, Walker L R.Density-operator theory of harmonic oscillator relaxation[J].Phys. Rev., 1965, 137(1):B204-
[18]Wall D F, Milbum G J.Effect of dissipation on quantum coherence[J].Phys. Rev. A, 1985, 31(4):2403-
[19]Yu T, Eberly J H.Evolution from entanglement to decoherence of bipartite mixed X states[J].Quantum Inf. Comput., 2007, 7(5-6):459-468
[20]Wootters W K.Entanglement of formation of an arbitrary state of two qubits[J].Phys. Rev. Lett., 1998, 80(10):2245-2248

两量子比特在两个热库中的稳态纠缠和热流

Steady-state entanglement and heat current of two-qubit in two heat baths

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