A machine learning based approach to the identification of spectral densities in quantum open systems

Fuente: arXiv
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Auteurs principaux: Barr, Jessica, Mukherjee, Shreyasi, Ferraro, Alessandro, Paternostro, Mauro, Zicari, Giorgio
Format: Preprint
Publié: 2025
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author Barr, Jessica
Mukherjee, Shreyasi
Ferraro, Alessandro
Paternostro, Mauro
Zicari, Giorgio
author_facet Barr, Jessica
Mukherjee, Shreyasi
Ferraro, Alessandro
Paternostro, Mauro
Zicari, Giorgio
contents We present a machine learning-based approach for characterising the environment that affects the dynamics of an open quantum system. We focus on the case of an exactly solvable spin-boson model, where the system-environment interaction, whose strength is encoded in the spectral density, induces pure dephasing. By using artificial neural networks trained on the Fourier-transformed time evolution of some observables of the system, we perform both classification -- distinguishing sub-Ohmic, Ohmic, and super-Ohmic spectral densities -- and regression -- thus estimating key parameters of the spectral density function, when the latter is expressed through a power law. Our results demonstrate high classification accuracy and robust parameter estimation, highlighting the potential of machine learning as a powerful tool for probing environmental features in quantum systems and advancing quantum noise spectroscopy.
format Preprint
id arxiv_https___arxiv_org_abs_2507_13730
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A machine learning based approach to the identification of spectral densities in quantum open systems
Barr, Jessica
Mukherjee, Shreyasi
Ferraro, Alessandro
Paternostro, Mauro
Zicari, Giorgio
Quantum Physics
Disordered Systems and Neural Networks
We present a machine learning-based approach for characterising the environment that affects the dynamics of an open quantum system. We focus on the case of an exactly solvable spin-boson model, where the system-environment interaction, whose strength is encoded in the spectral density, induces pure dephasing. By using artificial neural networks trained on the Fourier-transformed time evolution of some observables of the system, we perform both classification -- distinguishing sub-Ohmic, Ohmic, and super-Ohmic spectral densities -- and regression -- thus estimating key parameters of the spectral density function, when the latter is expressed through a power law. Our results demonstrate high classification accuracy and robust parameter estimation, highlighting the potential of machine learning as a powerful tool for probing environmental features in quantum systems and advancing quantum noise spectroscopy.
title A machine learning based approach to the identification of spectral densities in quantum open systems
topic Quantum Physics
Disordered Systems and Neural Networks
url https://arxiv.org/abs/2507.13730