Two-qudit geometric phase evolution under dephasing

In this work, we study a bipartite system composed by a pair of entangled qudits under dephasing, showing how the dynamics can be decoupled into two main sectors. In one of them, the concurrence of the effective state needed to compute the geometric phase generally decays to zero at asymptotic times...

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Detalles Bibliográficos
Publicado: 2018
Materias:
Decoherence
Entanglement
Geometric phases
Qudits
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00034916_v390_n_p159_Oxman
http://hdl.handle.net/20.500.12110/paper_00034916_v390_n_p159_Oxman
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00034916_v390_n_p159_Oxman
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spelling paper:paper_00034916_v390_n_p159_Oxman2023-06-08T14:24:32Z Two-qudit geometric phase evolution under dephasing Decoherence Entanglement Geometric phases Qudits In this work, we study a bipartite system composed by a pair of entangled qudits under dephasing, showing how the dynamics can be decoupled into two main sectors. In one of them, the concurrence of the effective state needed to compute the geometric phase generally decays to zero at asymptotic times. Of course, an evolution restricted to this sector can occur or not, depending on the initial state. Among the possibilities, there is a maximally entangled qutrit state (MES) that undergoes a restricted evolution. In this case, instead of decaying to zero, the concurrence as well as the geometric phase signal a transition to an effective two-qubit MES at asymptotic times. Next, we obtain the analytic solution to the master equation for a general initial two-qutrit state, and identify a whole class of decoherence free states. The associated observables, evolving in the presence of the environment, are robust against decoherence regardless of the coupling constants and operating weights. Among them, we obtained all the MES states which are robust against decoherence. The enhanced stability properties around them provides a strategy to minimize the effects of the environment on fractional topological phases. © 2018 Elsevier Inc. 2018 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00034916_v390_n_p159_Oxman http://hdl.handle.net/20.500.12110/paper_00034916_v390_n_p159_Oxman
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Decoherence
Entanglement
Geometric phases
Qudits
spellingShingle Decoherence
Entanglement
Geometric phases
Qudits
Two-qudit geometric phase evolution under dephasing
topic_facet Decoherence
Entanglement
Geometric phases
Qudits
description In this work, we study a bipartite system composed by a pair of entangled qudits under dephasing, showing how the dynamics can be decoupled into two main sectors. In one of them, the concurrence of the effective state needed to compute the geometric phase generally decays to zero at asymptotic times. Of course, an evolution restricted to this sector can occur or not, depending on the initial state. Among the possibilities, there is a maximally entangled qutrit state (MES) that undergoes a restricted evolution. In this case, instead of decaying to zero, the concurrence as well as the geometric phase signal a transition to an effective two-qubit MES at asymptotic times. Next, we obtain the analytic solution to the master equation for a general initial two-qutrit state, and identify a whole class of decoherence free states. The associated observables, evolving in the presence of the environment, are robust against decoherence regardless of the coupling constants and operating weights. Among them, we obtained all the MES states which are robust against decoherence. The enhanced stability properties around them provides a strategy to minimize the effects of the environment on fractional topological phases. © 2018 Elsevier Inc.
title Two-qudit geometric phase evolution under dephasing
title_short Two-qudit geometric phase evolution under dephasing
title_full Two-qudit geometric phase evolution under dephasing
title_fullStr Two-qudit geometric phase evolution under dephasing
title_full_unstemmed Two-qudit geometric phase evolution under dephasing
title_sort two-qudit geometric phase evolution under dephasing
publishDate 2018
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00034916_v390_n_p159_Oxman
http://hdl.handle.net/20.500.12110/paper_00034916_v390_n_p159_Oxman
_version_ 1768546517373681664

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