论文标题

二维转子模型的变异量子动力学

Variational quantum dynamics of two-dimensional rotor models

论文作者

Medvidović, Matija, Sels, Dries

论文摘要

我们提出了一种数值方法,以模拟连续变量量子多体系统的动力学。我们的方法基于自定义神经网络多体量子状态。我们专注于二维量子转子的动力学,并通过连续地表示试验状态并使用基于汉密尔顿蒙特卡洛的最新抽样方法来模拟大型实验相关的系统大小。我们证明该方法可以访问量子淬灭后的返回概率和涡度振荡等数量,该量子在高达64(8 $ \ times $ 8)耦合转子的二维系统中。我们的方法可用于以前未开发的系统大小和进化时间的连续系统的准确模拟,从而弥合了模拟和实验之间的差距。

We present a numerical method to simulate the dynamics of continuous-variable quantum many-body systems. Our approach is based on custom neural-network many-body quantum states. We focus on dynamics of two-dimensional quantum rotors and simulate large experimentally relevant system sizes by representing a trial state in a continuous basis and using state-of-the-art sampling approaches based on Hamiltonian Monte Carlo. We demonstrate the method can access quantities like the return probability and vorticity oscillations after a quantum quench in two-dimensional systems of up to 64 (8 $\times$ 8) coupled rotors. Our approach can be used for accurate nonequilibrium simulations of continuous systems at previously unexplored system sizes and evolution times, bridging the gap between simulation and experiment.

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