标题： 对非平衡强关联电子系统的时变多变量变分蒙特卡罗方法 显示英文标题

标题： Time-dependent many-variable variational Monte Carlo method for nonequilibrium strongly correlated electron systems

摘要： 我们开发了一种时间依赖的变分蒙特卡罗（t-VMC）方法，用于强关联电子的量子动力学。 t-VMC方法最近已被应用于玻色系统和量子自旋系统。 在这里，我们提出了一种具有许多变分参数的时间依赖的试探波函数，该波函数适用于非平衡的强关联电子系统。 作为试探态，我们采用了包含关联因子和量子数投影的广义对积波函数。 该试探波函数已被证明能够准确描述强关联电子系统的基态。 为了展示我们的试探波函数在非平衡状态下的准确性和效率，我们给出了费米 Hubbard 模型在相互作用淬火协议期间和之后的弛豫动力学的基准结果。 我们发现，我们的试探波函数能够很好地再现物理量如能量、动量分布、自旋结构因子和超导关联的时间演化精确结果。 这些结果表明，使用我们试探波函数的 t-VMC 为研究强关联电子系统中的非平衡动力学挑战性问题提供了一种高效且准确的方法。 显示英文摘要

摘要： We develop a time-dependent variational Monte Carlo (t-VMC) method for quantum dynamics of strongly correlated electrons. The t-VMC method has been recently applied to bosonic systems and quantum spin systems. Here, we propose a time-dependent trial wave function with many variational parameters, which is suitable for nonequilibrium strongly correlated electron systems. As the trial state, we adopt the generalized pair-product wave function with correlation factors and quantum-number projections. This trial wave function has been proven to accurately describe ground states of strongly correlated electron systems. To show the accuracy and efficiency of our trial wave function in nonequilibrium states as well, we present our benchmark results for relaxation dynamics during and after interaction quench protocols of fermionic Hubbard models. We find that our trial wave function well reproduces the exact results for the time evolution of physical quantities such as energy, momentum distribution, spin structure factor, and superconducting correlations. These results show that the t-VMC with our trial wave function offers an efficient and accurate way to study challenging problems of nonequilibrium dynamics in strongly correlated electron systems.