摘要翻译:
最近,人们导出了描述示踪粒子在量子气体中动力学的平移协变量子Boltzmann方程的一般形式。我们发展了一个随机波函数算法,使该方程的全三维蒙特卡罗模拟成为可能。利用模拟方法研究了不同散射截面的平衡方法,并通过对高阶累积量的研究确定了高斯统计量的动力学偏差。此外,我们还考察了动量本征态叠加的相干损失,并确定了相应的退相干时间尺度,以量化测试粒子态从量子到经典行为的转变。
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英文标题:
《Three-dimensional Monte Carlo simulations of the quantum linear
Boltzmann equation》
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作者:
Heinz-Peter Breuer and Bassano Vacchini
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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:Quantum Physics 量子物理学
分类描述:Description coming soon
描述即将到来
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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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英文摘要:
Recently the general form of a translation-covariant quantum Boltzmann equation has been derived which describes the dynamics of a tracer particle in a quantum gas. We develop a stochastic wave function algorithm that enables full three-dimensional Monte Carlo simulations of this equation. The simulation method is used to study the approach to equilibrium for various scattering cross sections and to determine dynamical deviations from Gaussian statistics through an investigation of higher-order cumulants. Moreover, we examine the loss of coherence of superpositions of momentum eigenstates and determine the corresponding decoherence time scales to quantify the transition from quantum to classical behavior of the state of the test particle.
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PDF链接:
https://arxiv.org/pdf/707.2539