论文标题

进入开放量子系统的主方程的操作员的性质和起源

Nature and origin of the operators entering the master equation of an open quantum system

论文作者

Spaventa, Giovanni, Verrucchi, Paola

论文摘要

通过利用最近引入的形式主义描述开放量子系统(具有环境相干状态的参数表示)的特殊性,我们得出了一个开放量子系统的减少密度操作员的运动方程,该量子系统具有与著名的gorini-kossakowskoskoskoskoskoskoskoskowski-sudarshan-lindblad-lindblad equination untess united buthersity nists nibsity time Markovian time Markovian的结构相同的结构。结果中的操作员根据描述与环境的相互作用的哈密顿式的表达式具有明确的表达方式,并且一旦考虑了特定的模型,就可以计算出来。我们发现,在一般(非马克维亚)情况下,代替了一组lindblad运算符,其中一组类似Lindblad的运算符,用于与环境相关的符号歧管的每个点。这种复杂性在某些假设(与马尔可夫人性和环境的经典限制有关)下消失了,在该假设下,可以恢复通常的主方程形式主义。最后,我们发现了在骨环环境中两个不同模型的量子模型的类似Lindblad的运算符,并表明在经典的环境中,其著名的主方程被恢复。

By exploiting the peculiarities of a recently introduced formalism for describing open quantum systems (the Parametric Representation with Environmental Coherent States) we derive an equation of motion for the reduced density operator of an open quantum system that has the same structure of the celebrated Gorini-Kossakowski-Sudarshan-Lindblad equation, but holds regardless of markovianity being assumed. The operators in our result have explicit expressions in terms of the Hamiltonian describing the interactions with the environment, and can be computed once a specific model is considered. We find that, instead of a single set of Lindblad operators, in the general (non-markovian) case there one set of Lindblad-like operators for each and every point of a symplectic manifold associated to the environment. This intricacy disappears under some assumptions (which are related to markovianity and the classical limit of the environment), under which it is possible to recover the usual master equation formalism. Finally, we find such Lindblad-like operators for two different models of a qubit in a bosonic environment, and show that in the classical limit of the environment their renown master equations are recovered.

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