Decoherence of Bell states by local interactions with a dynamic spin environment

We study the evolution of a system of two qubits, each of which interacts locally with a spin chain with nontrivial internal Hamiltonian. We present an exact solution to this problem and analyze the dependence of decoherence on the distance between the interaction sites. In the strong coupling regim...

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Detalles Bibliográficos
Autores principales:	Cormick, M. Cecilia, Paz, Juan Pablo
Publicado:	2008
Materias:	Spin dynamics Bell states Correlation lengths Decoherence Exact solutions Hamiltonian Initial states Interaction sites Ising chains Local interactions Non-markovian effects Numerica l results Spin chains Strong couplings Strong-coupling regime Time scaling Weak-coupling regime Flow interactions
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v78_n1_p_Cormick http://hdl.handle.net/20.500.12110/paper_10502947_v78_n1_p_Cormick
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_10502947_v78_n1_p_Cormick
record_format	dspace
spelling	paper:paper_10502947_v78_n1_p_Cormick2023-06-08T16:02:28Z Decoherence of Bell states by local interactions with a dynamic spin environment Cormick, M. Cecilia Paz, Juan Pablo Spin dynamics Bell states Correlation lengths Decoherence Exact solutions Hamiltonian Initial states Interaction sites Ising chains Local interactions Non-markovian effects Numerica l results Spin chains Strong couplings Strong-coupling regime Time scaling Weak-coupling regime Flow interactions We study the evolution of a system of two qubits, each of which interacts locally with a spin chain with nontrivial internal Hamiltonian. We present an exact solution to this problem and analyze the dependence of decoherence on the distance between the interaction sites. In the strong coupling regime we find that decoherence increases with increasing distance. In the weak coupling regime the dependence of decoherence with distance is not generic (i.e., it varies according to the initial state). Decoherence becomes independent of distance when the latter is over a saturation length l. Numerical results for the Ising chain suggest that the saturation scale is related to the correlation length ξ. For strong coupling we display evidence of the existence of non-Markovian effects (such as environment-induced interactions between the qubits). As a consequence the system can undergo a quasiperiodic sequence of "sudden deaths and revivals" of entanglement, with a time scale related to the distance between qubits. © 2008 The American Physical Society. Fil:Cormick, C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Paz, J.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2008 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v78_n1_p_Cormick http://hdl.handle.net/20.500.12110/paper_10502947_v78_n1_p_Cormick
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Spin dynamics Bell states Correlation lengths Decoherence Exact solutions Hamiltonian Initial states Interaction sites Ising chains Local interactions Non-markovian effects Numerica l results Spin chains Strong couplings Strong-coupling regime Time scaling Weak-coupling regime Flow interactions
spellingShingle	Spin dynamics Bell states Correlation lengths Decoherence Exact solutions Hamiltonian Initial states Interaction sites Ising chains Local interactions Non-markovian effects Numerica l results Spin chains Strong couplings Strong-coupling regime Time scaling Weak-coupling regime Flow interactions Cormick, M. Cecilia Paz, Juan Pablo Decoherence of Bell states by local interactions with a dynamic spin environment
topic_facet	Spin dynamics Bell states Correlation lengths Decoherence Exact solutions Hamiltonian Initial states Interaction sites Ising chains Local interactions Non-markovian effects Numerica l results Spin chains Strong couplings Strong-coupling regime Time scaling Weak-coupling regime Flow interactions
description	We study the evolution of a system of two qubits, each of which interacts locally with a spin chain with nontrivial internal Hamiltonian. We present an exact solution to this problem and analyze the dependence of decoherence on the distance between the interaction sites. In the strong coupling regime we find that decoherence increases with increasing distance. In the weak coupling regime the dependence of decoherence with distance is not generic (i.e., it varies according to the initial state). Decoherence becomes independent of distance when the latter is over a saturation length l. Numerical results for the Ising chain suggest that the saturation scale is related to the correlation length ξ. For strong coupling we display evidence of the existence of non-Markovian effects (such as environment-induced interactions between the qubits). As a consequence the system can undergo a quasiperiodic sequence of "sudden deaths and revivals" of entanglement, with a time scale related to the distance between qubits. © 2008 The American Physical Society.
author	Cormick, M. Cecilia Paz, Juan Pablo
author_facet	Cormick, M. Cecilia Paz, Juan Pablo
author_sort	Cormick, M. Cecilia
title	Decoherence of Bell states by local interactions with a dynamic spin environment
title_short	Decoherence of Bell states by local interactions with a dynamic spin environment
title_full	Decoherence of Bell states by local interactions with a dynamic spin environment
title_fullStr	Decoherence of Bell states by local interactions with a dynamic spin environment
title_full_unstemmed	Decoherence of Bell states by local interactions with a dynamic spin environment
title_sort	decoherence of bell states by local interactions with a dynamic spin environment
publishDate	2008
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v78_n1_p_Cormick http://hdl.handle.net/20.500.12110/paper_10502947_v78_n1_p_Cormick
work_keys_str_mv	AT cormickmcecilia decoherenceofbellstatesbylocalinteractionswithadynamicspinenvironment AT pazjuanpablo decoherenceofbellstatesbylocalinteractionswithadynamicspinenvironment
_version_	1768544514572550144

Decoherence of Bell states by local interactions with a dynamic spin environment

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