摘要翻译:
用图解蒙特卡罗方法研究了一个单自旋向下费米子与理想自旋向上费米子海共振相互作用的问题。一方面,我们发展了一种通用的,符号问题容忍的,精确数值解极化子型模型的方法。另一方面,我们的解对于理解强非平衡区BCS-BEC交叉的相图和性质具有重要意义。这是蒙特卡罗方法如何应用于发散符号交替图解级数的第一个例子,也可能是特征性的例子。
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英文标题:
《Fermi-Polaron: Diagrammatic Monte Carlo for Divergent Sign-Alternating
Series》
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作者:
Nikolay Prokof'ev and Boris Svistunov
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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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英文摘要:
Diagrammatic Monte Carlo approach is applied to a problem of a single spin-down fermion resonantly interacting with the sea of ideal spin-up fermions. On one hand, we develop a generic, sign-problem tolerant, method of exact numerical solution of polaron-type models. On the other hand, our solution is important for understanding the phase diagram and properties of the BCS-BEC crossover in the strongly imbalanced regime. This is the first, and possibly characteristic, example of how the Monte Carlo approach can be applied to a divergent sign-alternating diagrammatic series.
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PDF链接:
https://arxiv.org/pdf/707.4259


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