Wigner current for open quantum systems
Wigner current for open quantum systems
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DOI：
10.1103/physreva.100.012124
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发表时间：
2019-07-23
影响因子：
2.9
通讯作者：
Blencowe, Miles P.
中科院分区：
文献类型：
--
作者：
Braasch, William F., Jr.;Friedman, Oscar D.;Blencowe, Miles P.
我们将Wigner电流矢量场（Wigner电流）构造推广到与环境相互作用的单玻色子模量子系统。根据Wigner函数的准概率密度和相应的Wigner电流，开放系统的量子动力学可以简洁地表示为一个连续性方程。通过考虑谐振子和加性驱动的Duffing振子作为说明性系统示例，我们展示了系统相空间上的演化Wigner电流矢量场如何产生关于量子态如何由于与环境的相互作用而退相干的有用几何见解，以及它们如何通过系统非谐性的抵消效应（即，非线性）。
We extend the Wigner current vector field (Wigner current) construct to single bosonic mode quantum systems interacting with an environment. In terms of the Wigner function quasiprobability density and associated Wigner current, the open system quantum dynamics can be concisely expressed as a continuity equation. Through the consideration of the harmonic oscillator and additively driven Duffing oscillator in the bistable regime as illustrative system examples, we show how the evolving Wigner current vector field on the system phase space yields useful geometric insights concerning how quantum states decohere away due to interactions with the environment, as well as how they may be stabilized through the counteracting effects of the system anharmonicity (i.e., nonlinearity).