Experimentally accessible measure to quantify the non-Markovian character of the dynamics of open quantum systems

ABSTRACT: We use the divisibility approach to describe non-Markovian dynamics (memory effects) in open quantum systems coupled to an environment (reservoir). Specifically, sufficient and necessary criteria were incorporated in the energy domain that play a relevant role in dynamics of the system. In...

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Autores:
Triviño Navarro, Humberto
Tipo de recurso:
Doctoral thesis
Fecha de publicación:
2022
Institución:
Universidad de Antioquia
Repositorio:
Repositorio UdeA
Idioma:
eng
OAI Identifier:
oai:bibliotecadigital.udea.edu.co:10495/27335
Acceso en línea:
http://hdl.handle.net/10495/27335
Palabra clave:
Quantum systems
Open systems (Physics)
Markov processes
Stochastic processes
Sistemas abiertos (Física)
Procesos estocásticos
No markovianidad
http://id.loc.gov/authorities/subjects/sh2013002642
http://id.loc.gov/authorities/subjects/sh85094897
http://id.loc.gov/authorities/subjects/sh85081369
http://id.loc.gov/authorities/subjects/sh85128181
Rights
embargoedAccess
License
Atribución-NoComercial-CompartirIgual 2.5 Colombia (CC BY-NC-SA 2.5 CO)
Description
Summary:ABSTRACT: We use the divisibility approach to describe non-Markovian dynamics (memory effects) in open quantum systems coupled to an environment (reservoir). Specifically, sufficient and necessary criteria were incorporated in the energy domain that play a relevant role in dynamics of the system. In this case, we adopt the Feshbach partition in the space of (Hilbert-Liouville). On the other hand, to investigate both Markovianity and non-Markovianity, we study the divisibility of the Wigner function propagator. For this, within the framework of path integrals, we carry out an analysis of non-classical paths in phase space. Furthermore, we have used tools of topology to propose theorems intimately related to measures of non-Markovianity that are experementally accessible.