Effective Modeling of Open Quantum Systems by Low-rank Discretization of Structured Environments

TL;DR

This paper introduces a novel low-rank discretization method for modeling open quantum systems, leveraging frequency and time domain data to efficiently simulate complex system-environment interactions.

Contribution

It presents a new strategy for creating low-rank models of quantum system-environment interactions using fluctuation-dissipation relations, improving accuracy and computational efficiency.

Findings

Effective low-rank models accurately simulate quantum dynamics.

Method reduces computational costs significantly.

Applicable to complex structured environments.

Abstract

The accurate description of the interaction of a quantum system with a its environment is a challenging problem ubiquitous across all areas of physics, and lies at the foundation of quantum mechanics theory. Here we pioneer a new strategy to create discrete low-rank models of the system-environment interaction, by exploiting the frequency and time domain information encoded in the fluctuation-dissipation relation connecting the system-bath correlation function and the spectral density. We demonstrate the effectiveness of our methodology by combining it with tensor-network methodologies and simulating the quantum dynamics of a complex excitonic systems in a highly structured bosonic environment. The new modeling framework sets the basis for a leap in the analysis of open quantum systems providing controlled accuracy at significantly reduced computational costs, with benefits in all connected research areas.