Dissipation-induced pure Gaussian state
Dissipation-induced pure Gaussian state
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DOI：
10.1103/physreva.85.022103
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发表时间：
2012-02-03
影响因子：
2.9
通讯作者：
Yamamoto, Naoki
中科院分区：
文献类型：
--
作者：
Koga, Kei;Yamamoto, Naoki
本文为一般马尔可夫高斯主方程具有唯一的纯稳态提供了一些充要条件。条件由简单的矩阵方程描述；因此，所谓的纯高斯态准备的环境工程问题可以在线性代数框架中直接处理。事实上，基于这些条件之一，对于任意给定的纯高斯状态，我们获得了高斯主方程的完整参数化，将该状态作为唯一的稳态；这导致了设计所需耗散系统的系统程序。我们演示了一些例子，包括高斯簇状态。
This paper provides some necessary and sufficient conditions for a general Markovian Gaussian master equation to have a unique pure steady state. The conditions are described by simple matrix equations; thus the so-called environment engineering problem for pure-Gaussian-state preparation can be straightforwardly dealt with in the linear algebraic framework. In fact, based on one of those conditions, for an arbitrary given pure Gaussian state, we obtain a complete parametrization of the Gaussian master equation having that state as a unique steady state; this leads to a systematic procedure for engineering a desired dissipative system. We demonstrate some examples including Gaussian cluster states.