论文标题
来自kibble-zurek缩放的多体量子机的通用有限时间热力学
Universal finite-time thermodynamics of many-body quantum machines from Kibble-Zurek scaling
论文作者
论文摘要
我们通过考虑一个多体量子奥托循环来证明量子机的有限时间热力学中的普遍特征，其中在单一中风期间，在量子临界点驱动了工作介质。具体而言，我们考虑了一种量子发动机，该量子发动机由耗散式通电和放松浴缸提供动力。我们表明，在非常通用的条件下，输出工作受kibble-zurek机制的控制，即，它表现出通用的幂律缩放，并通过临界点的驱动速度表现出。我们还将优化有限的热力学作为驾驶速度的函数。最大功率和相应的效率采用通用形式，并以最佳速度达到了受关键指数的最佳速度。我们通过将横向场iSing自旋链视为工作介质来体现我们的结果。对于此模型，我们还展示了随着发动机变得至关重要的效率和功率如何变化。
We demonstrate the existence of universal features in the finite-time thermodynamics of quantum machines by considering a many-body quantum Otto cycle in which the working medium is driven across quantum critical points during the unitary strokes. Specifically, we consider a quantum engine powered by dissipative energizing and relaxing baths. We show that under very generic conditions, the output work is governed by the Kibble-Zurek mechanism, i.e., it exhibits a universal power-law scaling with the driving speed through the critical points. We also optimize the finite-time thermodynamics as a function of the driving speed. The maximum power and the corresponding efficiency take a universal form, and are reached for an optimal speed that is governed by the critical exponents. We exemplify our results by considering a transverse-field Ising spin chain as the working medium. For this model, we also show how the efficiency and power vary as the engine becomes critical.
