论文标题
量子热力学中相关性和温度的最佳操纵
Optimal Manipulation Of Correlations And Temperature In Quantum Thermodynamics
论文作者
论文摘要
本论文致力于研究两个任务:制冷和相关性的创建。在冷藏部分中,定义了两个不同的冷却范式,即连贯和不连贯的范式。这些范式与其他现有的制冷技术(例如热浴算法冷却(HBAC),量子热力学的资源理论方法以及自主冷却的资源理论方法)的联系。然后单独调查每个范式。这尤其允许推导一般且可达到的约束。边界的简单性令人震惊:它取决于用于冷却感兴趣系统的环境/机器的单个参数。相关部分的创建致力于定量研究,即可以为给定的能量创建多少相关性。精确地提出了感兴趣的问题后,我们将其用于任意有限的尺寸两分系统,以消失背景温度。对于非变化的背景温度,问题的对称性破裂,因此很难解决。当两个系统都是彼此的副本时,还要恢复足够的对称性,以制定对所有(有限)维度系统有效的上限,并证明其对维度3和4的可用性。我们此外,我们的猜想以及证据表明,义务义务在任何维度上都可以达到。
This thesis is devoted to studying two tasks: refrigeration and the creation of correlations. In the refrigeration part, two different paradigms of cooling, namely coherent and incoherent, are defined. The connection that these paradigms have with other existing refrigeration techniques such as heat bath algorithmic cooling (HBAC), the resource theoretic approach to quantum thermodynamics, and autonomous cooling is then made. Each paradigm is then investigated on its own. This in particular allows for the derivation of a general and attainable bound. The bound is striking in its simplicity: it depends on a single parameter of the environment/machine used to cool the system of interest. The creation of correlations part is devoted to the quantitative study of how much correlations can be created for a given amount of energy. After having precisely formulated the problem of interest, we solve it for arbitrary finite dimensional bipartite systems for vanishing background temperatures. For non-vanishing background temperature the symmetry of the problem breaks down, making it much harder to tackle. When both systems are copies of each other, enough symmetry is restored to formulate an upper bound valid for all (finite) dimensional systems and prove its attainability for dimension 3 and 4. We furthermore conjecture, as well as show evidence for, the bound to be attainable in any dimension.