# Quantum corrections of the truncated Wigner approximation applied to an exciton transport model

## TL;DR

This paper develops a modified path integral approach for exciton transport in open quantum systems, enabling quantum corrections beyond the truncated Wigner approximation and demonstrating its application to a donor-acceptor model.

## Contribution

It introduces a new approximation method that extends the truncated Wigner approximation for exciton transport, based on a modified path integral formalism.

## Key findings

- The new method captures quantum fluctuations more accurately.
- Application to a donor-acceptor model shows improved results.
- The approach provides a clearer understanding of quantum effects in exciton transport.

## Abstract

We modify the path integral representation of exciton transport in open quantum systems such that an exact description of the quantum fluctuations around the classical evolution of the system is possible. As a consequence, the time evolution of the system observables is obtained by calculating the average of a stochastic difference equation which is weighted with a product of pseudo-probability density functions. From the exact equation of motion one can clearly identify the terms that are also present if we apply the truncated Wigner approximation. This description of the problem is used as a basis for the derivation of a new approximation, whose validity goes beyond the truncated Wigner approximation. To demonstrate this we apply the formalism to a donor-acceptor transport model.