摘要翻译:
我们讨论了量子自旋链模型中的热传导问题。为了研究这个问题,有必要考虑与热浴相连的有限开放系统。我们描述了两种不同的方法来耦合系统和储层:随机热浴模型和量子主方程的量子轨迹解。随机热浴过程作用于孤立系统的纯波函数,使其局域周期性坍缩到与边界非平衡态一致的量子态。相比之下,量子轨道过程根据系统的约化密度矩阵算符来计算系综平均值。我们将这些过程应用于不同的量子自旋链模型,并用数值方法证明了它们对热流研究的适用性。
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英文标题:
《Heat Transport in Quantum Spin Chains: Stochastic Baths vs Quantum
Trajectories》
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作者:
Carlos Mejia-Monasterio, Hannu Wichterich
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最新提交年份:
2007
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分类信息:
一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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一级分类:Physics 物理学
二级分类:Quantum Physics 量子物理学
分类描述:Description coming soon
描述即将到来
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英文摘要:
We discuss the problem of heat conduction in quantum spin chain models. To investigate this problem it is necessary to consider the finite open system connected to heat baths. We describe two different procedures to couple the system with the reservoirs: a model of stochastic heat baths and the quantum trajectories solution of the quantum master equation. The stochastic heat bath procedure operates on the pure wave function of the isolated system, so that it is locally and periodically collapsed to a quantum state consistent with a boundary nonequilibrium state. In contrast, the quantum trajectories procedure evaluates ensemble averages in terms of the reduced density matrix operator of the system. We apply these procedures to different models of quantum spin chains and numerically show their applicability to study the heat flow.
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PDF链接:
https://arxiv.org/pdf/709.1412