Geometric phases in the presence of a composite environment

We compute the geometric phase for a spin-1/2 particle under the presence of a composite environment, composed of an external bath (modeled by an infinite set of harmonic oscillators) and another spin-1/2 particle. We consider both cases: an initial entanglement between the spin-1/2 particles and an...

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Autores principales: Villar, P.I., Lombardo, F.C.
Formato: JOUR
Materias:
Composite environment
Enhancement effects
Geometric phase
Geometric phasis
Harmonic oscillators
Reduced-density matrix
Two-level system
Quantum entanglement
Geometry
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10502947_v83_n5_p_Villar
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_10502947_v83_n5_p_Villar
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spelling todo:paper_10502947_v83_n5_p_Villar2023-10-03T16:00:08Z Geometric phases in the presence of a composite environment Villar, P.I. Lombardo, F.C. Composite environment Enhancement effects Geometric phase Geometric phasis Harmonic oscillators Reduced-density matrix Two-level system Quantum entanglement Geometry We compute the geometric phase for a spin-1/2 particle under the presence of a composite environment, composed of an external bath (modeled by an infinite set of harmonic oscillators) and another spin-1/2 particle. We consider both cases: an initial entanglement between the spin-1/2 particles and an initial product state in order to see if the initial entanglement has an enhancement effect on the geometric phase of one of the spins. We follow the nonunitary evolution of the reduced density matrix and evaluate the geometric phase for a single two-level system. We also show that the initial entanglement enhances the sturdiness of the geometric phase under the presence of an external composite environment. © 2011 American Physical Society. Fil:Villar, P.I. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Lombardo, F.C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10502947_v83_n5_p_Villar
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Composite environment
Enhancement effects
Geometric phase
Geometric phasis
Harmonic oscillators
Reduced-density matrix
Two-level system
Quantum entanglement
Geometry
spellingShingle Composite environment
Enhancement effects
Geometric phase
Geometric phasis
Harmonic oscillators
Reduced-density matrix
Two-level system
Quantum entanglement
Geometry
Villar, P.I.
Lombardo, F.C.
Geometric phases in the presence of a composite environment
topic_facet Composite environment
Enhancement effects
Geometric phase
Geometric phasis
Harmonic oscillators
Reduced-density matrix
Two-level system
Quantum entanglement
Geometry
description We compute the geometric phase for a spin-1/2 particle under the presence of a composite environment, composed of an external bath (modeled by an infinite set of harmonic oscillators) and another spin-1/2 particle. We consider both cases: an initial entanglement between the spin-1/2 particles and an initial product state in order to see if the initial entanglement has an enhancement effect on the geometric phase of one of the spins. We follow the nonunitary evolution of the reduced density matrix and evaluate the geometric phase for a single two-level system. We also show that the initial entanglement enhances the sturdiness of the geometric phase under the presence of an external composite environment. © 2011 American Physical Society.
format JOUR
author Villar, P.I.
Lombardo, F.C.
author_facet Villar, P.I.
Lombardo, F.C.
author_sort Villar, P.I.
title Geometric phases in the presence of a composite environment
title_short Geometric phases in the presence of a composite environment
title_full Geometric phases in the presence of a composite environment
title_fullStr Geometric phases in the presence of a composite environment
title_full_unstemmed Geometric phases in the presence of a composite environment
title_sort geometric phases in the presence of a composite environment
url http://hdl.handle.net/20.500.12110/paper_10502947_v83_n5_p_Villar
work_keys_str_mv AT villarpi geometricphasesinthepresenceofacompositeenvironment
AT lombardofc geometricphasesinthepresenceofacompositeenvironment
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