量子自旋动力学的轨迹可分Weiss场
Trajectory-Resolved Weiss Fields for Quantum Spin Dynamics
AI总结：
提出轨迹可分Weiss场方法，通过围绕每条随机轨迹的瞬时Weiss场采样来扩展量子自旋动力学模拟，在平均场消失时尤为有效，并应用于二维和三维量子Ising模型淬火。
摘要：
我们利用到经典随机过程的精确映射，探讨了二维和三维量子自旋系统的动力学。在近期工作中，我们探索了围绕由随机平均Weiss场确定的平均场演化进行采样的有效性。在此，我们表明，通过围绕与每条随机轨迹分别关联的瞬时Weiss场进行采样，可以显著扩展该方法。这种轨迹可分方法纳入了样本间的涨落，并允许更长的模拟时间。我们展示了该方法在二维和三维量子Ising模型淬火中的效用。我们表明，在平均Weiss场消失但轨迹可分Weiss场非零的情况下，该方法尤为有利。我们讨论了与gauge-P相空间方法的联系，其中轨迹可分Weiss场可被解释为一种规范自由度。
英文摘要：
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.
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