Gaussian Quantum Trajectories for the Variational Simulation of Open Quantum-Optical Systems
Gaussian Quantum Trajectories for the Variational Simulation of Open Quantum-Optical Systems
复制标题
用于开放量子光学系统变分模拟的高斯量子轨迹
DOI：
10.3390/app8091427
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发表时间：
2018
期刊：
影响因子：
--
通讯作者：
M. Wouters
中科院分区：
文献类型：
--
作者：
W. Verstraelen;M. Wouters
我们基于量子轨迹形式主义的高斯分析构建了一类用于研究开放量子系统的变分方法。共轭位置和动量求积中的高斯性与密度和相位中的高斯性不同。我们将这些方法应用于驱动耗散克尔腔，研究整个双稳态范围内的移相和稳态。事实证明，计算成本与截断维格纳近似 (TWA) 方法类似，系统规模最多为二次缩放。同时，保持了与数值精确轨迹描述的强对应性，使得这些方法比TWA包含更多关于系综构成的信息，并且更加鲁棒。
We construct a class of variational methods for the study of open quantum systems based on Gaussian ansatzes for the quantum trajectory formalism. Gaussianity in the conjugate position and momentum quadratures is distinguished from Gaussianity in density and phase. We apply these methods to a driven-dissipative Kerr cavity where we study dephasing and the stationary states throughout the bistability regime. Computational cost proves to be similar to the Truncated Wigner Approximation (TWA) method, with at most quadratic scaling in system size. Meanwhile, strong correspondence with the numerically-exact trajectory description is maintained so that these methods contain more information on the ensemble constitution than TWA and can be more robust.