Tensor network influence functionals in the continuous-time limit: Connections to quantum embedding, bath discretization, and higher-order time propagation

Abstract

The authors describe here two developments of tensor network influence functionals for quantum impurity dynamics within the fermionic setting of the Anderson impurity model. The first provides the correct extension of the method to continuous time by introducing a related mathematical object. The second connects the dynamics described by a compressed tensor network influence functionals to that of a quantum embedding method with a time-dependent effective bath undergoing nonunitary dynamics. Using these concepts, the authors implement higher-order time propagators for the quench dynamics of the Anderson impurity model.

Topics & Concepts