Correction to the geometric phase by structured environments: The onset of non-Markovian effects

We study the geometric phase of a two-level system under the presence of a structured environment, particularly analyzing its correction with the ohmicity parameter s and the onset of non-Markovianity. We first examine the system coupled to a set of harmonic oscillators and study the decoherence fac...

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Detalles Bibliográficos
Autores principales: Lombardo, Fernando César, Villar, Paula Inés
Publicado: 2015
Materias:
Quantum optics
Quantum theory
Coupling constants
Harmonic oscillators
Markovian environment
Non-Markovian effects
Quantum open systems
Quantum-information processing
Structured environment
Two-level system
Geometry
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v91_n4_p_Lombardo
http://hdl.handle.net/20.500.12110/paper_10502947_v91_n4_p_Lombardo
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_10502947_v91_n4_p_Lombardo
record_format dspace
spelling paper:paper_10502947_v91_n4_p_Lombardo2023-06-08T16:02:51Z Correction to the geometric phase by structured environments: The onset of non-Markovian effects Lombardo, Fernando César Villar, Paula Inés Quantum optics Quantum theory Coupling constants Harmonic oscillators Markovian environment Non-Markovian effects Quantum open systems Quantum-information processing Structured environment Two-level system Geometry We study the geometric phase of a two-level system under the presence of a structured environment, particularly analyzing its correction with the ohmicity parameter s and the onset of non-Markovianity. We first examine the system coupled to a set of harmonic oscillators and study the decoherence factor as function of the environment's ohmicity parameter. Second, we propose the two-level system coupled to a nonequilibrium environment, and show that these environments display non-Markovian effects for all values of the ohmicity parameter. The geometric phase of the two-level system is therefore computed under the presence of both types of environment. The correction to the unitary geometric phase is analyzed in both the Markovian and non-Markovian regimes. Under Markovian environments, the correction induced on the system's phase is mainly ruled by the coupling constant between the system and the environment, while in the non-Markovian regime, memory effects seem to trigger a significant correction to the unitary geometric phase. The result is significant to the quantum information processing based on the geometric phase in quantum open systems. © 2015 American Physical Society. Fil:Lombardo, F.C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Villar, P.I. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2015 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v91_n4_p_Lombardo http://hdl.handle.net/20.500.12110/paper_10502947_v91_n4_p_Lombardo
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Quantum optics
Quantum theory
Coupling constants
Harmonic oscillators
Markovian environment
Non-Markovian effects
Quantum open systems
Quantum-information processing
Structured environment
Two-level system
Geometry
spellingShingle Quantum optics
Quantum theory
Coupling constants
Harmonic oscillators
Markovian environment
Non-Markovian effects
Quantum open systems
Quantum-information processing
Structured environment
Two-level system
Geometry
Lombardo, Fernando César
Villar, Paula Inés
Correction to the geometric phase by structured environments: The onset of non-Markovian effects
topic_facet Quantum optics
Quantum theory
Coupling constants
Harmonic oscillators
Markovian environment
Non-Markovian effects
Quantum open systems
Quantum-information processing
Structured environment
Two-level system
Geometry
description We study the geometric phase of a two-level system under the presence of a structured environment, particularly analyzing its correction with the ohmicity parameter s and the onset of non-Markovianity. We first examine the system coupled to a set of harmonic oscillators and study the decoherence factor as function of the environment's ohmicity parameter. Second, we propose the two-level system coupled to a nonequilibrium environment, and show that these environments display non-Markovian effects for all values of the ohmicity parameter. The geometric phase of the two-level system is therefore computed under the presence of both types of environment. The correction to the unitary geometric phase is analyzed in both the Markovian and non-Markovian regimes. Under Markovian environments, the correction induced on the system's phase is mainly ruled by the coupling constant between the system and the environment, while in the non-Markovian regime, memory effects seem to trigger a significant correction to the unitary geometric phase. The result is significant to the quantum information processing based on the geometric phase in quantum open systems. © 2015 American Physical Society.
author Lombardo, Fernando César
Villar, Paula Inés
author_facet Lombardo, Fernando César
Villar, Paula Inés
author_sort Lombardo, Fernando César
title Correction to the geometric phase by structured environments: The onset of non-Markovian effects
title_short Correction to the geometric phase by structured environments: The onset of non-Markovian effects
title_full Correction to the geometric phase by structured environments: The onset of non-Markovian effects
title_fullStr Correction to the geometric phase by structured environments: The onset of non-Markovian effects
title_full_unstemmed Correction to the geometric phase by structured environments: The onset of non-Markovian effects
title_sort correction to the geometric phase by structured environments: the onset of non-markovian effects
publishDate 2015
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v91_n4_p_Lombardo
http://hdl.handle.net/20.500.12110/paper_10502947_v91_n4_p_Lombardo
work_keys_str_mv AT lombardofernandocesar correctiontothegeometricphasebystructuredenvironmentstheonsetofnonmarkovianeffects
AT villarpaulaines correctiontothegeometricphasebystructuredenvironmentstheonsetofnonmarkovianeffects
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