Non-Markovian quantum thermodynamics: Laws and fluctuation theorems
Non-Markovian quantum thermodynamics: Laws and fluctuation theorems
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非马尔可夫量子热力学：定律和涨落定理
DOI：
10.1103/physrevb.98.085415
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发表时间：
2016
影响因子：
3.7
通讯作者：
Robert S. Whitney
中科院分区：
文献类型：
--
作者：
Robert S. Whitney
这项工作将凯尔德什非平衡量子理论和热力学结合在一起，通过展示实时图解技术等价于非马尔科夫量子机(热机、冰箱等)的随机热力学。对于耦合到理想电子、声子或光子库的任何相互作用的量子系统，在凯尔德什等高线上的量子轨迹和它们的时间反转之间存在对称性。这导致了量子涨落定理与著名的经典量子涨落定理(雅金斯基和克鲁克斯方程、积分涨落定理等)相同，无论系统的动力学是不是马尔可夫的。其中一些也被证明适用于不可因式分解的初始状态。序贯隧穿近似和共隧穿近似都尊重了确保涨落定理的对称性。对于所有初始状态，能量守恒确保热力学第一定律平均成立，而上述对称性确保热力学第二定律平均成立，即使涨落违反了它。
This work brings together Keldysh non-equilibrium quantum theory and thermodynamics, by showing that a real-time diagrammatic technique is an equivalent of stochastic thermodynamics for non-Markovian quantum machines (heat engines, refrigerators, etc). Symmetries are found between quantum trajectories and their time-reverses on the Keldysh contour, for any interacting quantum system coupled to ideal reservoirs of electrons, phonons or photons. These lead to quantum fluctuation theorems the same as the well-known classical ones (Jarzynski and Crooks equalities, integral fluctuation theorem, etc), whether the system's dynamics are Markovian or not. Some of these are also shown to hold for non-factorizable initial states. The sequential tunnelling approximation and the cotunnelling approximation are both shown to respect the symmetries that ensure the fluctuation theorems. For all initial states, energy conservation ensures that the first law of thermodynamics holds on average, while the above symmetries ensures that the second law of thermodynamics holds on average, even if fluctuations violate it.
相互作用开放系统中的费米子宇称对偶性和能量弛豫
影响因子：
3.7
作者：
Schulenborg;Saptsov;Splettstoesser;Wegewijs
通讯作者：
Wegewijs
DOI：
10.1073/pnas.1704827114
发表时间：
2017-07-18
影响因子：
11.1
作者：
Cottet, Nathanael;Jezouin, Sebastien;Huard, Benjamin
通讯作者：
Huard, Benjamin