Path Integral Lindblad Dynamics in Presence of Time-Dependent Fields

TL;DR

This paper extends the path integral Lindblad dynamics (PILD) method to handle time-dependent external fields, enabling its application to Floquet systems without directly evaluating the non-Markovian memory kernel.

Contribution

An alternative, simplified formulation of PILD that incorporates time-dependent fields and Floquet systems, overcoming previous limitations related to the memory kernel.

Findings

Allows application of PILD to Floquet systems.

Eliminates need to evaluate non-Markovian memory kernel.

Enables modeling of quantum systems with time-dependent external fields.

Abstract

The path integral Lindblad dynamics (PILD) method [A. Bose, J. Phys. Chem. Lett. 15(12), 3363-3368 (2024)] had been introduced as a way of incorporating the impact of certain empirical processes like pumps and drains on the dynamics of quantum systems interacting with thermal environments. The method being based on the time-translational invariance of the Nakajima-Zwanzig memory kernel, however, was not able to account for time-dependent external fields. In this communication, we give an alternate, simpler formulation of PILD, that allows us to go beyond this limitation. It does not require the evaluation of the non-Markovian memory kernel directly, and consequently can be applied to Floquet systems as well.