Nonequilibrium thermodynamics in the strong coupling and non-Markovian regime based on a reaction coordinate mapping
Nonequilibrium thermodynamics in the strong coupling and non-Markovian regime based on a reaction coordinate mapping
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DOI：
10.1088/1367-2630/18/7/073007
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发表时间：
2016-02
影响因子：
3.3
通讯作者：
P. Strasberg;G. Schaller;Neill Lambert;T. Brandes
中科院分区：
文献类型：
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作者：
P. Strasberg;G. Schaller;Neill Lambert;T. Brandes
本文提出了一种超越弱耦合和马尔可夫近似的研究小系统热力学行为的方法。我们的想法是重新定义的系统和环境，使有效的，重新定义的系统再次弱耦合到马尔可夫剩余浴，因此，允许导出一个一致的热力学框架，这个新的系统环境分区。为了实现这一目标，我们利用的反应坐标（RC）映射，这是一个通用的方法，在这个意义上说，它可以应用于一个任意的（量子或经典，甚至时间依赖）系统线性耦合到一个任意数量的谐振子水库。该方法的核心依赖于对环境的一部分（RC）的适当识别，其随后被包括为系统的一部分。我们证明了这个概念的力量，通过显示非马尔可夫效应可以显着提高稳态效率的三能级微波激射器热机，即使在弱系统浴耦合的制度。此外，我们表明，我们的方法允许一个单电子晶体管耦合到振动，证明主方程中的极化子变换的参考系。
We propose a method to study the thermodynamic behaviour of small systems beyond the weak coupling and Markovian approximation, which is different in spirit from conventional approaches. The idea is to redefine the system and environment such that the effective, redefined system is again coupled weakly to Markovian residual baths and thus, allows to derive a consistent thermodynamic framework for this new system–environment partition. To achieve this goal we make use of the reaction coordinate (RC) mapping, which is a general method in the sense that it can be applied to an arbitrary (quantum or classical and even time-dependent) system coupled linearly to an arbitrary number of harmonic oscillator reservoirs. The core of the method relies on an appropriate identification of a part of the environment (the RC), which is subsequently included as a part of the system. We demonstrate the power of this concept by showing that non-Markovian effects can significantly enhance the steady state efficiency of a three-level-maser heat engine, even in the regime of weak system–bath coupling. Furthermore, we show for a single electron transistor coupled to vibrations that our method allows one to justify master equations derived in a polaron transformed reference frame.