Small matrix modular path integral: iterative quantum dynamics in space and time

Abstract

The modular path integral (MPI) formulation for one-dimensional extended systems, such as spin arrays or molecular aggregates, allows evaluation of spin- or exciton-vibration dynamics with effort that scales linearly with the number of units. This work presents a small matrix decomposition of the modular path integral (SMatMPI), which eliminates tensor storage and enables iterative long-time propagation.