posted on 2024-03-18, 17:39authored byAmartya Bose
Path integrals offer a robust approach for simulating
open quantum
dynamics with advancements transcending initial system size limitations.
However, accurately modeling systems governed by mechanisms that do
not conserve the number of quantum particles, such as lossy cavity
modes, remains a challenge. We present a method to incorporate such
empirical source and drain mechanisms within a path integral framework
using quantum master equations. This technique facilitates rigorous
inclusion of bath degrees of freedom while accommodating empirical
time scales via Lindbladian dynamics. Computational costs are primarily
driven by the path integral method with minimal overhead from Lindbladian
terms. We use it to study exciton transport in a four-site Fenna–Matthews–Olson
model, examining the potential loss of the exciton to the reaction
center. This path integral Lindblad method promises an enhanced ability
to simulate dynamics and will be fundamental to simulation of spectra
in diverse quantum processes in open systems.