Non-Markovian dynamical maps: numerical processing of open quantum trajectories

The initial stages of the evolution of an open quantum system encode the key information of its underlying dynamical correlations, which in turn can predict the trajectory at later stages. We propose a general approach based on non-Markovian dynamical maps to extract this information from the initia...

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Detalles Bibliográficos
Autores: Cerrillo Moreno, Javier, Cao, Jianshu
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2014
País:España
Institución:Universidad Politécnica de Cartagena(UPCT)
Repositorio:Repositorio Digital UPCT
OAI Identifier:oai:repositorio.upct.es:10317/13372
Acceso en línea:http://hdl.handle.net/10317/13372
https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.112.110401
Access Level:acceso abierto
Palabra clave:open quantum system
dynamical correlations
non-Markovian dynamical maps
non-Markovian transfer tensor method (TTM)
Nakajima-Zwanzig equation
Física Aplicada
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spelling Non-Markovian dynamical maps: numerical processing of open quantum trajectoriesCerrillo Moreno, JavierCao, Jianshuopen quantum systemdynamical correlationsnon-Markovian dynamical mapsnon-Markovian transfer tensor method (TTM)Nakajima-Zwanzig equationFísica AplicadaThe initial stages of the evolution of an open quantum system encode the key information of its underlying dynamical correlations, which in turn can predict the trajectory at later stages. We propose a general approach based on non-Markovian dynamical maps to extract this information from the initial trajectories and compress it into non-Markovian transfer tensors. Assuming time-translational invariance, the tensors can be used to accurately and efficiently propagate the state of the system to arbitrarily long time scales. The non-Markovian transfer tensor method (TTM) demonstrates the coherent-to-incoherent transition as a function of the strength of quantum dissipation and predicts the noncanonical equilibrium distribution due to the system-bath entanglement. TTM is equivalent to solving the Nakajima-Zwanzig equation and, therefore, can be used to reconstruct the dynamical operators (the system Hamiltonian and memory kernel) from quantum trajectories obtained in simulations or experiments. The concept underlying the approach can be generalized to physical observables with the goal of learning and manipulating the trajectories of an open quantum system.This work was supported by grants from the National Science Foundation (Grant No. CHE-1112825), DARPA, and DOE. Javier Cerrillo is currently supported by the Center for Excitonics at MIT funded by the Department of Energy (Grant No. DE-SC0001088).American Physical Society202420242014info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/10317/13372https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.112.110401reponame:Repositorio Digital UPCTinstname:Universidad Politécnica de Cartagena(UPCT)Inglésinfo:eu-repo/semantics/openAccessoai:repositorio.upct.es:10317/133722026-05-15T06:39:02Z
dc.title.none.fl_str_mv Non-Markovian dynamical maps: numerical processing of open quantum trajectories
title Non-Markovian dynamical maps: numerical processing of open quantum trajectories
spellingShingle Non-Markovian dynamical maps: numerical processing of open quantum trajectories
Cerrillo Moreno, Javier
open quantum system
dynamical correlations
non-Markovian dynamical maps
non-Markovian transfer tensor method (TTM)
Nakajima-Zwanzig equation
Física Aplicada
title_short Non-Markovian dynamical maps: numerical processing of open quantum trajectories
title_full Non-Markovian dynamical maps: numerical processing of open quantum trajectories
title_fullStr Non-Markovian dynamical maps: numerical processing of open quantum trajectories
title_full_unstemmed Non-Markovian dynamical maps: numerical processing of open quantum trajectories
title_sort Non-Markovian dynamical maps: numerical processing of open quantum trajectories
dc.creator.none.fl_str_mv Cerrillo Moreno, Javier
Cao, Jianshu
author Cerrillo Moreno, Javier
author_facet Cerrillo Moreno, Javier
Cao, Jianshu
author_role author
author2 Cao, Jianshu
author2_role author
dc.subject.none.fl_str_mv open quantum system
dynamical correlations
non-Markovian dynamical maps
non-Markovian transfer tensor method (TTM)
Nakajima-Zwanzig equation
Física Aplicada
topic open quantum system
dynamical correlations
non-Markovian dynamical maps
non-Markovian transfer tensor method (TTM)
Nakajima-Zwanzig equation
Física Aplicada
description The initial stages of the evolution of an open quantum system encode the key information of its underlying dynamical correlations, which in turn can predict the trajectory at later stages. We propose a general approach based on non-Markovian dynamical maps to extract this information from the initial trajectories and compress it into non-Markovian transfer tensors. Assuming time-translational invariance, the tensors can be used to accurately and efficiently propagate the state of the system to arbitrarily long time scales. The non-Markovian transfer tensor method (TTM) demonstrates the coherent-to-incoherent transition as a function of the strength of quantum dissipation and predicts the noncanonical equilibrium distribution due to the system-bath entanglement. TTM is equivalent to solving the Nakajima-Zwanzig equation and, therefore, can be used to reconstruct the dynamical operators (the system Hamiltonian and memory kernel) from quantum trajectories obtained in simulations or experiments. The concept underlying the approach can be generalized to physical observables with the goal of learning and manipulating the trajectories of an open quantum system.
publishDate 2014
dc.date.none.fl_str_mv 2014
2024
2024
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10317/13372
https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.112.110401
url http://hdl.handle.net/10317/13372
https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.112.110401
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:Repositorio Digital UPCT
instname:Universidad Politécnica de Cartagena(UPCT)
instname_str Universidad Politécnica de Cartagena(UPCT)
reponame_str Repositorio Digital UPCT
collection Repositorio Digital UPCT
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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