Artículo
Many-body entanglement in fermion systems
Fecha de publicación:
05/2021
Editorial:
American Physical Society
Revista:
Physical Review A
ISSN:
2469-9926
e-ISSN:
2469-9934
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We discuss a general bipartitelike representation and Schmidt decomposition of an arbitrary pure state of N indistinguishable fermions, based on states of M < N and (N-M) fermions. It is directly connected with the reduced M- and (N-M)-body density matrices (DMs), which have the same spectrum in such states. The concept of M-body entanglement emerges naturally in this scenario, generalizing that of one-body entanglement. Rigorous majorization relations satisfied by the normalized M-body DM are then derived, which imply that the associated entropy will not increase, on average, under a class of operations which have these DMs as postmeasurement states. Moreover, such entropy is an upper bound to the bipartite entanglement entropy generated by a class of operations which map the original state to a bipartite state of M and N − M effectively distinguishable fermions. Analytic evaluation of the spectrum of M-body DMs in some strongly correlated fermionic states is also provided.
Palabras clave:
MANY-BODY
,
QUANTUM
,
INFORMATION
,
FERMION
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Articulos(IFLP)
Articulos de INST.DE FISICA LA PLATA
Articulos de INST.DE FISICA LA PLATA
Citación
Gigena, Nicolás Alejandro; Di Tullio, Marco; Rossignoli, Raúl Dante; Many-body entanglement in fermion systems; American Physical Society; Physical Review A; 103; 5; 5-2021; 1-12
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