Fermionic entanglement in the Lipkin model

We examine the fermionic entanglement in the ground state of the fermionic Lipkin model and its relation with bipartite entanglement. It is first shown that the one-body entanglement entropy, which quantifies the minimum distance to a fermionic Gaussian state, behaves similarly to the mean-field ord...

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Detalles Bibliográficos
Autores principales:	Di Tullio, Marco, Rossignoli, Raúl Dante, Cerezo, M., Gigena, Nicolás Alejandro
Formato:	Articulo Preprint
Lenguaje:	Inglés
Publicado:	2019
Materias:	Física Quantum entanglement Physics Phase transition Gaussian Bipartite graph Concurrence Minimum distance Quantum mechanics Ground state
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/124512
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

id	I19-R120-10915-124512
record_format	dspace
institution	Universidad Nacional de La Plata
institution_str	I-19
repository_str	R-120
collection	SEDICI (UNLP)
language	Inglés
topic	Física Quantum entanglement Physics Phase transition Gaussian Bipartite graph Concurrence Minimum distance Quantum mechanics Ground state
spellingShingle	Física Quantum entanglement Physics Phase transition Gaussian Bipartite graph Concurrence Minimum distance Quantum mechanics Ground state Di Tullio, Marco Rossignoli, Raúl Dante Cerezo, M. Gigena, Nicolás Alejandro Fermionic entanglement in the Lipkin model
topic_facet	Física Quantum entanglement Physics Phase transition Gaussian Bipartite graph Concurrence Minimum distance Quantum mechanics Ground state
description	We examine the fermionic entanglement in the ground state of the fermionic Lipkin model and its relation with bipartite entanglement. It is first shown that the one-body entanglement entropy, which quantifies the minimum distance to a fermionic Gaussian state, behaves similarly to the mean-field order parameter and is essentially proportional to the total bipartite entanglement between the upper and lower modes, a quantity meaningful only in the fermionic realization of the model. We also analyze the entanglement of the reduced state of four single-particle modes (two up-down pairs), showing that its fermionic concurrence is strongly peaked at the phase transition and behaves differently from the corresponding up-down entanglement. We finally show that the first measures and the up-down reduced entanglement can be correctly described through a basic mean-field approach supplemented with symmetry restoration, whereas the concurrence requires at least the inclusion of random-phase-approximation--type correlations for a proper prediction. Fermionic separability is also discussed.
format	Articulo Preprint
author	Di Tullio, Marco Rossignoli, Raúl Dante Cerezo, M. Gigena, Nicolás Alejandro
author_facet	Di Tullio, Marco Rossignoli, Raúl Dante Cerezo, M. Gigena, Nicolás Alejandro
author_sort	Di Tullio, Marco
title	Fermionic entanglement in the Lipkin model
title_short	Fermionic entanglement in the Lipkin model
title_full	Fermionic entanglement in the Lipkin model
title_fullStr	Fermionic entanglement in the Lipkin model
title_full_unstemmed	Fermionic entanglement in the Lipkin model
title_sort	fermionic entanglement in the lipkin model
publishDate	2019
url	http://sedici.unlp.edu.ar/handle/10915/124512
work_keys_str_mv	AT ditulliomarco fermionicentanglementinthelipkinmodel AT rossignolirauldante fermionicentanglementinthelipkinmodel AT cerezom fermionicentanglementinthelipkinmodel AT gigenanicolasalejandro fermionicentanglementinthelipkinmodel
bdutipo_str	Repositorios
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Fermionic entanglement in the Lipkin model

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