非平衡共形场论中的能流
Energy flow in non-equilibrium conformal field theory
摘要：
我们研究了远离平衡态的量子无带隙一维系统中的能流及其涨落，该系统由共形场论建模，其中两个分离的半体在不同的温度下制备并在点接触处粘合在一起。我们证明了这些系统收敛于定态，并给出了一般的描述，这种非平衡定态的量子场论数据。我们计算的大偏差函数，也称为全计数统计，通过接触的能量转移。这些都是普遍的，并满足涨落关系。我们提供了一个简单的表示，这些量子波动的经典泊松过程的强度成正比的玻尔兹曼权重。
英文摘要：
We study the energy current and its fluctuations in quantum gapless 1d systems far from equilibrium modeled by conformal field theory, where two separated halves are prepared at distinct temperatures and glued together at a point contact. We prove that these systems converge towards steady states, and give a general description of such non-equilibrium steady states in terms of quantum field theory data. We compute the large deviation function, also called the full counting statistics, of energy transfer through the contact. These are universal and satisfy fluctuation relations. We provide a simple representation of these quantum fluctuations in terms of classical Poisson processes whose intensities are proportional to Boltzmann weights.
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