论文标题
用于量子自旋动力学的轨迹分辨的Weiss场
Trajectory-Resolved Weiss Fields for Quantum Spin Dynamics
论文作者
论文摘要
我们使用与经典随机过程的精确映射在两个和三个维度中探索量子自旋系统的动力学。在最近的工作中，我们探讨了由随机平均魏斯场确定的围绕平均场演化采样的有效性。在这里，我们表明，通过与分别采用的每个随机轨迹相关的瞬时Weiss场进行采样，可以显着扩展这种方法。这种轨迹分辨的方法将样品纳入样品波动，并允许更长的模拟时间。我们证明了这种方法在二维和三维量子ISING模型中的淬火实用性。我们表明，在平均魏斯场消失的情况下，该方法尤其有利，但是轨迹分辨的Weiss场是非零的。我们讨论了与仪表 - P相空间方法的联系，在该方法中，可以将轨迹分辨的Weiss场解释为量规自由度。
We explore the dynamics of quantum spin systems in two and three dimensions using an exact mapping to classical stochastic processes. In recent work we explored the effectiveness of sampling around the mean field evolution as determined by a stochastically averaged Weiss field. Here, we show that this approach can be significantly extended by sampling around the instantaneous Weiss field associated with each stochastic trajectory taken separately. This trajectory-resolved approach incorporates sample to sample fluctuations and allows for longer simulation times. We demonstrate the utility of this approach for quenches in the two-dimensional and three-dimensional quantum Ising model. We show that the method is particularly advantageous in situations where the average Weiss-field vanishes, but the trajectory-resolved Weiss fields are non-zero. We discuss the connection to the gauge-P phase space approach, where the trajectory-resolved Weiss field can be interpreted as a gauge degree of freedom.
