Thermodynamic deficiencies of some simple Lindblad operators

Thermodynamic deficiencies of some simple Lindblad operators
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一些简单 Lindblad 算子的热力学缺陷

DOI:
10.1002/prop.201600067
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发表时间:
2017
期刊:
Fortschritte der Physik
影响因子:
--
通讯作者:
T. Motz
T. Motz
中科院分区:
--
文献类型:
--
作者:
J. T. Stockburger;T. Motz

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Lindblad类型的主方程在量子光学和量子信息领域已经取得了突出的地位,因为它们保证满足量子动力学的基本概念,如完全正性。当Lindblad算符被用来描述与开放量子系统接触的热库时,热力学基本定律和涨落耗散定理提供了额外的强制性标准。我们展示了几个看似无辜的Lindblad算子的例子,这些算子在这方面具有可疑的性质。哈密顿和Lindblad项之间的兼容性标准以及违反的后果进行了讨论。另一种随机方法耗散量子动力学概述和说明通过谐波链模型的本地Lindblad运营商的方法失败。
Master equations of Lindblad type have attained prominent status in the fields of quantum optics and quantum information since they are guaranteed to satisfy fundamental notions of quantum dynamics such as complete positivity. When Lindblad operators are used to describe thermal reservoirs in contact with an open quantum system, the fundamental laws of thermodynamics and the fluctuation‐dissipation theorem provide additional mandatory criteria. We show several examples of innocent‐looking Lindblad operators which have questionable properties in this regard. Compatibility criteria between Hamiltonian and Lindblad terms as well as consequences of their violation are discussed. An alternative stochastic approach to dissipative quantum dynamics is outlined and illustrated through a harmonic‐chain model for which the approach of local Lindblad operators fails.
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DOI: --
发表时间: 1987
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影响因子: --
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