Geometric Optimization of Nonequilibrium Adiabatic Thermal Machines and Implementation in a Qubit System
Geometric Optimization of Nonequilibrium Adiabatic Thermal Machines and Implementation in a Qubit System
复制标题
非平衡绝热热机的几何优化及其在量子比特系统中的实现
DOI：
10.1103/prxquantum.3.010326
复制
发表时间：
2022-02-16
期刊：
影响因子：
9.7
通讯作者：
Arrachea, Liliana
中科院分区：
文献类型：
--
作者：
Terren Alonso, Pablo;Abiuso, Paolo;Arrachea, Liliana
我们采用几何方法来描述绝热量子机的性能，在缓慢的时间相关驱动下运行，并在整个周期中与两个温度偏置的水库接触。我们表明，优化的热力发动机的发电和效率的热力发动机和制冷机的操作模式的问题被减少到一个等周问题与非平凡的基本指标和曲率。这对应于闭合曲线所包围的面积与其相应长度之间的比率的最大化。我们说明了这个过程中的量子位耦合到两个水库作为一个热机的绝热协议的装置。
We adopt a geometric approach to describe the performance of adiabatic quantum machines, operating under slow time-dependent driving and in contact with two reservoirs with a temperature bias during all the cycle. We show that the problem of optimizing the power generation of a heat engine and the efficiency of both the heat engine and refrigerator operational modes is reduced to an isoperimetric problem with nontrivial underlying metrics and curvature. This corresponds to the maximization of the ratio between the area enclosed by a closed curve and its corresponding length. We illustrate this procedure in a qubit coupled to two reservoirs operating as a thermal machine by means of an adiabatic protocol.