论文标题

最小耦合量子热发动机的热力学

Thermodynamics of Minimal Coupling Quantum Heat Engines

论文作者

Łobejko, Marcin, Mazurek, Paweł, Horodecki, Michał

论文摘要

最小耦合量子加热发动机是一台由明确的储能系统,热浴和工作主体组成的热机器,或者通过离散的笔触(能量持续的两体量子操作)将其与子系统耦合到子系统。在该范式中,我们提出了量子热力学的一般框架,其中工作提取过程从根本上受到非帕斯维能量(麦角拷贝)的限制,而能量消散是通过被动能量表达的。事实证明,工作机构的小维度和仅限制了两体操作,使发动机从根本上是不可逆的。我们的主要结果是在整个不可逆的最小耦合发动机中找到最佳的效率和工作产生,由三个笔触组成,并与两级工作主体组成,我们考虑了工作主体与电池之间的所有可能的量子相关性。关键的新工具之一是引入的“控制 - 边界状态”,该状态仅作用于Hilbert Space,但封装了有关总体工作体重系统的工作提取的所有功能。此外,我们提出了多冲程发动机的概括,并分析了效率与提取的工作权衡,以及在发动机运行的许多周期之后的工作波动。

The minimal-coupling quantum heat engine is a thermal machine consisting of an explicit energy storage system, heat baths, and a working body, which alternatively couples to subsystems through discrete strokes -- energy-conserving two-body quantum operations. Within this paradigm, we present a general framework of quantum thermodynamics, where a work extraction process is fundamentally limited by a flow of non-passive energy (ergotropy), while energy dissipation is expressed through a flow of passive energy. It turns out that small dimensionality of the working body and a restriction only to two-body operations make the engine fundamentally irreversible. Our main result is finding the optimal efficiency and work production per cycle within the whole class of irreversible minimal-coupling engines composed of three strokes and with the two-level working body, where we take into account all possible quantum correlations between the working body and the battery. One of the key new tools is the introduced "control-marginal state" -- one which acts only on a working body Hilbert space, but encapsulates all features regarding work extraction of the total working body-battery system. In addition, we propose a generalization of the many-stroke engine, and we analyze efficiency vs extracted work trade-offs, as well as work fluctuations after many cycles of the running of the engine.

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