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arXiv 1712.06397quant-ph
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用精确量子动力学从平衡态驱动自旋-玻色子模型

Driving Spin-Boson Models From Equilibrium Using Exact Quantum Dynamics

G. M. G. McCaul, C. D. Lorenz, L. Kantorovich

摘要:

我们提出了一个应用程序的扩展随机刘维方程(ESLE)物理修订版B 95,125124,它给出了一个精确的解决方案,约化密度矩阵的开放系统所包围的谐波热浴。该方法认为扩展系统(开放系统和浴)的热平衡之前的动作的时间依赖性的扰动,而不是通常的假设,系统和浴最初分区。这是一个精确的技术,能够占任意参数制度的模型。在这里,我们提出了我们的第一个数值实现的方法在最简单的情况下的Caldeira-Leggett表示浴哈密顿量,并将其应用到一个自旋玻色子系统驱动耦合平衡。我们观察到显着的行为,在瞬态动力学和渐近状态的减少密度矩阵不存在通常的近似。

英文摘要:

We present an application of the Extended Stochastic Liouville Equation (ESLE) Phys. Rev. B 95, 125124, which gives an exact solution for the reduced density matrix of an open system surrounded by a harmonic heat bath. This method considers the extended system (the open system and the bath) being thermally equilibrated prior to the action of a time dependent perturbation, as opposed to the usual assumption that system and bath are initially partitioned. This is an exact technique capable of accounting for arbitrary parameter regimes of the model. Here we present our first numerical implementation of the method in the simplest case of a Caldeira-Leggett representation of the bath Hamiltonian, and apply it to a spin-Boson system driven from coupled equilibrium. We observe significant behaviours in both the transient dynamics and asymptotic states of the reduced density matrix not present in the usual approximation.

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