论文标题
温度和弯曲时空之间的异常Luttinger等效性：从黑洞的大气到热淬火
Anomalous Luttinger equivalence between temperature and curved spacetime: From black hole's atmosphere to thermal quenches
论文作者
论文摘要
Luttinger的基础是托尔曼（Tolman）和埃伦菲斯特（Ehrenfest）的想法，即热量重量，建立了重力场与热传输之间的深厚联系。但是，这种关系不包括异常的量子波动，这些波动在强弯曲的时空中变得至关重要。在这项工作中，我们重新审视了著名的Tolman-Ehrenfest和Luttinger关系，并展示了如何通过量子场理论的引力异常捕获的与这些波动相关的量子能量尺度。我们指出，这种异常的波动自然发生在黑洞的量子气氛中。我们的结果表明，在提供局部温度的扁平空间时间中，在温热导体中也可以观察到类似的波动差异很大。结果，我们确定引力异常在量子线的非线性热响应中自然表现出来。此外，我们提出了一种系统的方法来识别黑洞异常量子波动的热类似物。我们确定了它们在热淬灭之后传播能波的签名，以及在反复淬火引起的加热浮子状态的能量密度中。
Building on the idea of Tolman and Ehrenfest that heat has weight, Luttinger established a deep connection between gravitational fields and thermal transport. However, this relation does not include anomalous quantum fluctuations that become paramount in strongly curved spacetime. In this work, we revisit the celebrated Tolman-Ehrenfest and Luttinger relations and show how to incorporate the quantum energy scales associated with these fluctuations, captured by gravitational anomalies of quantum field theories. We point out that such anomalous fluctuations naturally occur in the quantum atmosphere of a black hole. Our results reveal that analogous fluctuations are also observable in thermal conductors in flat-space time provided local temperature varies strongly. As a consequence, we establish that the gravitational anomalies manifest themselves naturally in non-linear thermal response of a quantum wire. In addition, we propose a systematic way to identify thermal analogues of black hole's anomalous quantum fluctuations associated to gravitational anomalies. We identify their signatures in propagating energy waves following a thermal quench, as well as in the energy density of heating Floquet states induced by repeated quenches.
