Connections between tensor network influence functional and real-time density matrix embedding theory

We develop connections between tensor network-based influence functional method and real-time density matrix embedding theory (DMET) for computing non-equilibrium electron dynamics in strongly correlated systems, specifically in non-equilibrium quantum impurity problems. In real-time DMET theory, the equation of motion is derived using the time-dependent variational principle. Here, we formulate tensor network method that can project bath degrees of freedom into finite degrees of discretized bath. We derive the equation of motion for the coupled impurity and bath wavefunction within the discretized bath using tensor network truncations. The numerical performance is compared in the quench dynamics of single impurity Anderson model.