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arXiv 1802.05697cond-mat.stat-mechcond-mat.str-elmath-phmath.MP
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存在缺陷时的非平衡量子输运:非相互作用情形

Non-equilibrium quantum transport in presence of a defect: the non-interacting case

Marko Ljubotina, Spyros Sotiriadis, Tomaž Prosen

摘要:

我们研究了在局域缺陷存在下自由费米子晶格系统中非均匀量子猝灭后的量子输运。利用一种新的严格的物理观测量的大时间和大距离渐近的分析计算方法,我们得到了粒子密度和电流的精确轮廓。我们的分析表明,预测的半经典的方法,已被广泛应用于类似的问题完全符合正确的渐近,除了可能的有限距离修正接近的缺陷。我们概括我们的公式,以任意的非相互作用的粒子守恒缺陷,表达它们的散射特性。

英文摘要:

We study quantum transport after an inhomogeneous quantum quench in a free fermion lattice system in the presence of a localised defect. Using a new rigorous analytical approach for the calculation of large time and distance asymptotics of physical observables, we derive the exact profiles of particle density and current. Our analysis shows that the predictions of a semiclassical approach that has been extensively applied in similar problems match exactly with the correct asymptotics, except for possible finite distance corrections close to the defect. We generalise our formulas to an arbitrary non-interacting particle-conserving defect, expressing them in terms of its scattering properties.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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