量子热力学中相关和温度的最佳操作

F. Clivaz
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引用次数: 1

摘要

本论文致力于研究两个任务:冷藏和相关性的创建。在制冷部分,定义了两种不同的冷却范式,即相干和非相干。然后,将这些范例与其他现有的制冷技术(如热浴算法冷却(HBAC))、量子热力学的资源理论方法和自主冷却)联系起来。然后对每个范例进行单独的研究。这特别允许推导一个一般的和可实现的界。这个界限非常简单:它取决于用于冷却感兴趣系统的环境/机器的单个参数。关联的创建部分致力于定量研究给定能量可以创建多少关联。在精确地表述了感兴趣的问题之后,我们求解了任意有限维二部系统的背景温度消失问题。对于不消失的背景温度,问题的对称性被打破,使其更难处理。当两个系统是彼此的副本时,恢复足够的对称性来制定一个对所有(有限)维系统有效的上界,并证明其在维3和维4上的可达性。我们进一步推测,并证明了在任何维度上都可以达到的界限。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Optimal Manipulation Of Correlations And Temperature In Quantum Thermodynamics
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.
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