Three-site quantum lattice with thermal bath

TL;DR

This paper presents an algorithm for simulating the quantum dynamics of a three-site lattice coupled with classical oscillators under thermal fluctuations, enabling the study of stochastic effects on quantum systems.

Contribution

It introduces a novel simulation algorithm that models quantum-classical interactions with thermal noise, implemented in Ada95.

Findings

Effective simulation of quantum dynamics with thermal baths

Insights into stochastic influences on quantum states

Algorithm demonstrates realistic thermal environment modeling

Abstract

An algorithm to simulate the dynamics of a quantum state over a three-site lattice interacting with classical harmonic oscillators has been devised. The oscillators are linearly coupled to the quantum state and are acted upon by a fluctuation-dissipation process to take the equilibrium thermal environment into account, thus allowing to investigate how stochastic forces may affect the quantum dynamics. The implementation of the algorithm has been written in Ada95.