自旋-玻色子网络量子动力学的随机微分方程
Stochastic Differential Equations for Quantum Dynamics of Spin-Boson Networks
摘要：
开放多体系统的量子动力学对计算方法提出了挑战。在这里，我们发展了一个基于正P相空间表示的随机方案来研究受驱动的耗散耦合自旋玻色子网络的非平衡动力学。这些问题是量子光学的腔和固态实现以及冷原子物理、囚禁离子和超导电路实验研究的前沿。我们演示和测试我们的方法驱动，耗散两个网站系统，每个网站涉及一个自旋耦合到光子模式，与光子之间的网站，在那里我们发现很好的协议与蒙特卡罗波函数模拟跳跃。除了数值再现最近在实验中观察到的特征[Phys.Rev.X4，031043（2014）]之外，我们还预测了驱动和耗散的非对称配置的新的稳态量子动力学相变。
英文摘要：
The quantum dynamics of open many-body systems poses a challenge for computational approaches. Here we develop a stochastic scheme based on the positive P phase-space representation to study the nonequilibrium dynamics of coupled spin-boson networks that are driven and dissipative. Such problems are at the forefront of experimental research in cavity and solid state realizations of quantum optics, as well as cold atom physics, trapped ions and superconducting circuits. We demonstrate and test our method on a driven, dissipative two-site system, each site involving a spin coupled to a photonic mode, with photons hopping between the sites, where we find good agreement with Monte Carlo Wavefunction simulations. In addition to numerically reproducing features recently observed in an experiment [Phys. Rev. X 4, 031043 (2014)], we also predict a novel steady state quantum dynamical phase transition for an asymmetric configuration of drive and dissipation.
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