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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2011
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Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v83_n5_p_Villar http://hdl.handle.net/20.500.12110/paper_10502947_v83_n5_p_Villar |
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paper:paper_10502947_v83_n5_p_Villar2023-06-08T16:02:39Z Geometric phases in the presence of a composite environment Villar, Paula Inés Lombardo, Fernando César 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. 2011 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v83_n5_p_Villar 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, Paula Inés Lombardo, Fernando César 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. |
author |
Villar, Paula Inés Lombardo, Fernando César |
author_facet |
Villar, Paula Inés Lombardo, Fernando César |
author_sort |
Villar, Paula Inés |
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 |
publishDate |
2011 |
url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v83_n5_p_Villar http://hdl.handle.net/20.500.12110/paper_10502947_v83_n5_p_Villar |
work_keys_str_mv |
AT villarpaulaines geometricphasesinthepresenceofacompositeenvironment AT lombardofernandocesar geometricphasesinthepresenceofacompositeenvironment |
_version_ |
1768545153894580224 |