海森伯XXZ模型中量子相干性的研究
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摘要
研究了非均匀磁场和均匀磁场作用下的两量子位海森伯XXZ模型中的量子相干性,详细分析了各个参数对量子相干性的影响.研究发现,量子相干性随非均匀磁场的变化会因为均匀磁场的加入而变得平缓.不同的各项异性参数和磁场条件下,量子相干性随温度的变化有很大的差异.和纠缠相比,量子相干性随非均匀磁场只表现为单峰现象.此外,通过对不同初始态下量子相干性的动力学演化行为进行研究,给出了非均匀磁场对演化过程的影响.论文的研究结果对于认识量子相干性问题具有一定的意义.
The quantum coherence in a two-qubit Heisenberg XXZ model is investigated under an inhomogeneous magnetic field and homogeneous magnetic field. The influence of different parameters on quantum coherence is discussed in detail. We find that the dependence of quantum coherence on inhomogeneous magnetic field will smooth if the uniform magnetic field gets involved. Under different anisotropy parameters and magnetic field,quantum coherence versus temperature has many considerable differences. We find that the quantum coherence are unimodal about inhomogeneous magnetic field by comparing with entanglement. In addition,we also study the dynamical behavior of quantum coherence with different initial states. We show the influence of inhomogeneous magnetic field on the evolution. The results of this paper will provide some help to understand quantum coherence.
The quantum coherence in a two-qubit Heisenberg XXZ model is investigated under an inhomogeneous magnetic field and homogeneous magnetic field. The influence of different parameters on quantum coherence is discussed in detail. We find that the dependence of quantum coherence on inhomogeneous magnetic field will smooth if the uniform magnetic field gets involved. Under different anisotropy parameters and magnetic field,quantum coherence versus temperature has many considerable differences. We find that the quantum coherence are unimodal about inhomogeneous magnetic field by comparing with entanglement. In addition,we also study the dynamical behavior of quantum coherence with different initial states. We show the influence of inhomogeneous magnetic field on the evolution. The results of this paper will provide some help to understand quantum coherence.
引文
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[2]杨宇光,温巧燕,朱甫臣.基于纠缠交换的多方多级量子密钥分配协议[J].物理学报,2005,54(12):5544-5548.
[3]郑建国,覃朝勇.量子计算进展与展望[J].计算机应用研究,2008,25(3):641-645.
[4]李凯,刘易,朱钦圣,等.量子Discord简介及其在特定系统中的计算[J].大学物理,2017,36(9):69-81.
[5]刘光华,邓小燕.量子相变与量子纠缠[J].大学物理,2016,35(4):1-6.
[6]于晓东.量子相干性与量子互文性的理论研究[D].山东大学,2017:1-99.
[7]Alexander S,Swapan R,Paul B,et al.Structure of the resource theory of quantum coherence[J].Physical Review Letters,2017,119:140402.
[8]Khaled B D,María G D,Mohamed M,et al.Resource theory of coherence:Beyond states[J].Physical Review A,2017,95:062327.
[9]Cao M,Zhu S Q.Thermal entanglement between alternate qubits of a four-qubit Heisenberg XX chain in a magnetic field[J].Physical Review A,2005,71:034311.
[10]Zhang G F,Li S S.Thermal entanglement in a two qubit Heisenberg XXZ spin chain under an inhomogeneous magnetic field[J].Physical Review A,2005,72:034302.
[11]Li D C,Cao Z L.Thermal entanglement in the anisotropic Heisenberg XYZ model with different inhomogeneous magnetic field[J].Optics Communication,2009,282:1226-1230.
[12]Baumgratz T,Cramer M,Plenio M B.Quantifying coherence[J].Physical Review Letters,2014,113:140401.
[13]Jafari R.Low-energy-state dynamics of entanglement for spin systems[J].Physical Review A,2010,82:052317.