QwaveMPS: An efficient open-source Python package for simulating non-Markovian waveguide-QED using matrix product states

TL;DR

QwaveMPS is an open-source Python package that enables efficient simulation of non-Markovian waveguide-QED systems using matrix product states, facilitating scalable and practical studies of complex quantum dynamics.

Contribution

It introduces a user-friendly, scalable Python library for simulating waveguide-QED systems with non-Markovian effects using matrix product states, reducing computational costs.

Findings

Enables simulation of non-Markovian dynamics with reduced computational resources

Allows modeling of complex quantum interactions including time-delayed feedback

Supports both Markovian and non-Markovian regimes efficiently

Abstract

QwaveMPS is an open-source Python library for simulating one-dimensional quantum many-body waveguide systems using matrix product states (MPS). It provides a user-friendly interface for constructing, evolving, and analyzing quantum states and operators, facilitating studies in quantum physics and quantum information with waveguide QED systems. This approach enables efficient, scalable simulations by focusing computational resources on the most relevant parts of the quantum system. Thus, one can study a wide range of complex dynamical interactions, including time-delayed feedback effects in the non-Markovian regime and deeply non-linear systems, at a highly reduced computational cost compared to full Hilbert space approaches, making it both practical and convenient to model a variety of open waveguide-QED systems (in Markovian and non-Markovian regimes), treating quantized atoms and quantized photons on an equal footing.