Geometric phase and quantum correlations for a bipartite two-level system

We calculate the geometric phase of a bipartite two-level system coupled to an external environment. We compute the correction to the unitary geometric phase through a kinematic approach. To this end, we analyse the reduced density matrix of the bipartite system after tracing over the environmental...

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Autores principales:	Lombardo, F.C., Villar, P.I., Diosi L., Kiefer C., Halliwell J.J., Prati E., Fronzoni L., Elze H.-T., Vitiello G.
Formato:	CONF
Materias:	Degrees of freedom (mechanics) Geometry Quantum entanglement Bipartite systems External environments Kinematic approaches Maximally entangled state Quantum correlations Quantum discords Reduced-density matrix Topological phase Quantum theory
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_17426588_v626_n1_p_Lombardo
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_17426588_v626_n1_p_Lombardo
record_format	dspace
spelling	todo:paper_17426588_v626_n1_p_Lombardo2023-10-03T16:31:03Z Geometric phase and quantum correlations for a bipartite two-level system Lombardo, F.C. Villar, P.I. Diosi L. Kiefer C. Halliwell J.J. Prati E. Fronzoni L. Elze H.-T. Vitiello G. Degrees of freedom (mechanics) Geometry Quantum entanglement Bipartite systems External environments Kinematic approaches Maximally entangled state Quantum correlations Quantum discords Reduced-density matrix Topological phase Quantum theory We calculate the geometric phase of a bipartite two-level system coupled to an external environment. We compute the correction to the unitary geometric phase through a kinematic approach. To this end, we analyse the reduced density matrix of the bipartite system after tracing over the environmental degrees of freedom, for arbitrary initial states of the composite system. In all cases considered, the correction to the unitary phase has a similar structure as a function of the degree of the entanglement of the initial state. In the case of a maximally entangled state (MES), the survival phase is only the topological phase, and there is no correction induced by the environments. Further, we compute the quantum discord and concurrence of the bipartite state and analyse possible relations among these quantities and the geometric phase acquired during the non-unitary system's evolution. © Published under licence by IOP Publishing Ltd. 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. CONF info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_17426588_v626_n1_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	Degrees of freedom (mechanics) Geometry Quantum entanglement Bipartite systems External environments Kinematic approaches Maximally entangled state Quantum correlations Quantum discords Reduced-density matrix Topological phase Quantum theory
spellingShingle	Degrees of freedom (mechanics) Geometry Quantum entanglement Bipartite systems External environments Kinematic approaches Maximally entangled state Quantum correlations Quantum discords Reduced-density matrix Topological phase Quantum theory Lombardo, F.C. Villar, P.I. Diosi L. Kiefer C. Halliwell J.J. Prati E. Fronzoni L. Elze H.-T. Vitiello G. Geometric phase and quantum correlations for a bipartite two-level system
topic_facet	Degrees of freedom (mechanics) Geometry Quantum entanglement Bipartite systems External environments Kinematic approaches Maximally entangled state Quantum correlations Quantum discords Reduced-density matrix Topological phase Quantum theory
description	We calculate the geometric phase of a bipartite two-level system coupled to an external environment. We compute the correction to the unitary geometric phase through a kinematic approach. To this end, we analyse the reduced density matrix of the bipartite system after tracing over the environmental degrees of freedom, for arbitrary initial states of the composite system. In all cases considered, the correction to the unitary phase has a similar structure as a function of the degree of the entanglement of the initial state. In the case of a maximally entangled state (MES), the survival phase is only the topological phase, and there is no correction induced by the environments. Further, we compute the quantum discord and concurrence of the bipartite state and analyse possible relations among these quantities and the geometric phase acquired during the non-unitary system's evolution. © Published under licence by IOP Publishing Ltd.
format	CONF
author	Lombardo, F.C. Villar, P.I. Diosi L. Kiefer C. Halliwell J.J. Prati E. Fronzoni L. Elze H.-T. Vitiello G.
author_facet	Lombardo, F.C. Villar, P.I. Diosi L. Kiefer C. Halliwell J.J. Prati E. Fronzoni L. Elze H.-T. Vitiello G.
author_sort	Lombardo, F.C.
title	Geometric phase and quantum correlations for a bipartite two-level system
title_short	Geometric phase and quantum correlations for a bipartite two-level system
title_full	Geometric phase and quantum correlations for a bipartite two-level system
title_fullStr	Geometric phase and quantum correlations for a bipartite two-level system
title_full_unstemmed	Geometric phase and quantum correlations for a bipartite two-level system
title_sort	geometric phase and quantum correlations for a bipartite two-level system
url	http://hdl.handle.net/20.500.12110/paper_17426588_v626_n1_p_Lombardo
work_keys_str_mv	AT lombardofc geometricphaseandquantumcorrelationsforabipartitetwolevelsystem AT villarpi geometricphaseandquantumcorrelationsforabipartitetwolevelsystem AT diosil geometricphaseandquantumcorrelationsforabipartitetwolevelsystem AT kieferc geometricphaseandquantumcorrelationsforabipartitetwolevelsystem AT halliwelljj geometricphaseandquantumcorrelationsforabipartitetwolevelsystem AT pratie geometricphaseandquantumcorrelationsforabipartitetwolevelsystem AT fronzonil geometricphaseandquantumcorrelationsforabipartitetwolevelsystem AT elzeht geometricphaseandquantumcorrelationsforabipartitetwolevelsystem AT vitiellog geometricphaseandquantumcorrelationsforabipartitetwolevelsystem
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Geometric phase and quantum correlations for a bipartite two-level system

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