Quantum dynamics in a tiered non-Markovian environment
Quantum dynamics in a tiered non-Markovian environment
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DOI：
10.1088/1367-2630/17/2/023063
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发表时间：
2015-02-24
影响因子：
3.3
通讯作者：
Gauger, Erik M.
中科院分区：
文献类型：
--
作者：
Fruchtman, Amir;Lovett, Brendon W.;Gauger, Erik M.
介绍了一种新的分析方法来研究与谐振子环境弱耦合的离散系统的开放量子系统问题。我们的方法是基于相空间表示的密度矩阵的系统耦合到一个两层的环境。系统的动力学及其直接环境以非马尔可夫的方式解决，内部环境的环境模式本身可以被更广泛的“宇宙”阻尼。将我们的方法应用到拉比和自旋玻色子模型的典型情况下，我们获得了新的有效热化温度的解析表达式和环境响应函数的修正，作为考虑这种分层环境的直接后果。精确的数值模拟的比较证实，我们的近似表达式是非常准确的，而他们的分析性质提供了更深入的理解，他们所描述的物理学的前景。我们的方法的一个独特的优点是，它允许同时包括一个连续的浴以及离散的环境模式，从而导致广泛和通用的适用性。
We introduce a new analytical method for studying the open quantum systems problem of a discrete system weakly coupled to an environment of harmonic oscillators. Our approach is based on a phase space representation of the density matrix for a system coupled to a two-tiered environment. The dynamics of the system and its immediate environment are resolved in a non-Markovian way, and the environmental modes of the inner environment can themselves be damped by a wider 'universe'. Applying our approach to the canonical cases of the Rabi and spin-boson models we obtain new analytical expressions for an effective thermalization temperature and corrections to the environmental response functions as direct consequences of considering such a tiered environment. A comparison with exact numerical simulations confirms that our approximate expressions are remarkably accurate, while their analytic nature offers the prospect of deeper understanding of the physics which they describe. A unique advantage of our method is that it permits the simultaneous inclusion of a continuous bath as well as discrete environmental modes, leading to wide and versatile applicability.