Neural quantum propagators for driven-dissipative quantum dynamics

Describing the dynamics of strong-laser driven open quantum systems is a very challenging task that requires the solution of highly involved equations of motion. While machine learning techniques are being applied with some success to simulate the time evolution of individual quantum states, their u...

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Main Authors: Jiaji Zhang, Carlos L. Benavides-Riveros, Lipeng Chen
Format: Article
Language:English
Published: American Physical Society 2025-01-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.7.L012013
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author Jiaji Zhang
Carlos L. Benavides-Riveros
Lipeng Chen
author_facet Jiaji Zhang
Carlos L. Benavides-Riveros
Lipeng Chen
author_sort Jiaji Zhang
collection DOAJ
description Describing the dynamics of strong-laser driven open quantum systems is a very challenging task that requires the solution of highly involved equations of motion. While machine learning techniques are being applied with some success to simulate the time evolution of individual quantum states, their use to approximate time-dependent operators (that can evolve various states) remains largely unexplored. In this work, we develop driven neural quantum propagators (NQP), a universal neural network framework that solves driven-dissipative quantum dynamics by approximating propagators rather than wave functions or density matrices. NQP can handle arbitrary initial quantum states, adapt to various external fields, and simulate long-time dynamics, even when trained on far shorter time windows. Furthermore, by appropriately configuring the external fields, our trained NQP can be transferred to systems governed by different Hamiltonians. We demonstrate the effectiveness of our approach by studying the spin-boson and the three-state transition Gamma models.
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institution Kabale University
issn 2643-1564
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publisher American Physical Society
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spelling doaj-art-e74468e2802949d2aa89adc6d312ce4c2025-01-21T15:02:14ZengAmerican Physical SocietyPhysical Review Research2643-15642025-01-0171L01201310.1103/PhysRevResearch.7.L012013Neural quantum propagators for driven-dissipative quantum dynamicsJiaji ZhangCarlos L. Benavides-RiverosLipeng ChenDescribing the dynamics of strong-laser driven open quantum systems is a very challenging task that requires the solution of highly involved equations of motion. While machine learning techniques are being applied with some success to simulate the time evolution of individual quantum states, their use to approximate time-dependent operators (that can evolve various states) remains largely unexplored. In this work, we develop driven neural quantum propagators (NQP), a universal neural network framework that solves driven-dissipative quantum dynamics by approximating propagators rather than wave functions or density matrices. NQP can handle arbitrary initial quantum states, adapt to various external fields, and simulate long-time dynamics, even when trained on far shorter time windows. Furthermore, by appropriately configuring the external fields, our trained NQP can be transferred to systems governed by different Hamiltonians. We demonstrate the effectiveness of our approach by studying the spin-boson and the three-state transition Gamma models.http://doi.org/10.1103/PhysRevResearch.7.L012013
spellingShingle Jiaji Zhang
Carlos L. Benavides-Riveros
Lipeng Chen
Neural quantum propagators for driven-dissipative quantum dynamics
Physical Review Research
title Neural quantum propagators for driven-dissipative quantum dynamics
title_full Neural quantum propagators for driven-dissipative quantum dynamics
title_fullStr Neural quantum propagators for driven-dissipative quantum dynamics
title_full_unstemmed Neural quantum propagators for driven-dissipative quantum dynamics
title_short Neural quantum propagators for driven-dissipative quantum dynamics
title_sort neural quantum propagators for driven dissipative quantum dynamics
url http://doi.org/10.1103/PhysRevResearch.7.L012013
work_keys_str_mv AT jiajizhang neuralquantumpropagatorsfordrivendissipativequantumdynamics
AT carloslbenavidesriveros neuralquantumpropagatorsfordrivendissipativequantumdynamics
AT lipengchen neuralquantumpropagatorsfordrivendissipativequantumdynamics