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We develop a time-dependent variational Monte Carlo (t-VMC) method forquantum dynamics of strongly correlated electrons. The t-VMC method has beenrecently applied to bosonic systems and quantum spin systems. Here, we proposea time-dependent trial wave function with many variational parameters, which issuitable for nonequilibrium strongly correlated electron systems. As the trialstate, we adopt the generalized pair-product wave function with correlationfactors and quantum-number projections. This trial wave function has beenproven to accurately describe ground states of strongly correlated electronsystems. To show the accuracy and efficiency of our trial wave function innonequilibrium states as well, we present our benchmark results for relaxationdynamics during and after interaction quench protocols of fermionic Hubbardmodels. We find that our trial wave function well reproduces the exact resultsfor the time evolution of physical quantities such as energy, momentumdistribution, spin structure factor, and superconducting correlations. Theseresults show that the t-VMC with our trial wave function offers an efficientand accurate way to study challenging problems of nonequilibrium dynamics instrongly correlated electron systems.

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