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Path Integral Lindblad Dynamics in Presence of Time-Dependent Fields

Amartya Bose

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.

Path Integral Lindblad Dynamics in Presence of Time-Dependent 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.
Paper Structure (10 equations, 2 figures)

This paper contains 10 equations, 2 figures.

Figures (2)

  • Figure 1: Population dynamics of various states without Lindblad jump operators. Solid lines: no external field; Dashed line: with external field.
  • Figure 2: Population dynamics of various states in presence of simultaneous pumping and draining. Solid lines: no external field; Dashed line: with external field.