Entanglement in fermion systems

cic.isFulltext true es
cic.isPeerReviewed true es
cic.lugarDesarrollo Universidad Nacional de La Plata es
cic.version info:eu-repo/semantics/submittedVersion es
dc.date.accessioned 2019-05-23T12:25:27Z
dc.date.available 2019-05-23T12:25:27Z
dc.identifier.uri https://digital.cic.gba.gob.ar/handle/11746/10007
dc.title Entanglement in fermion systems es
dc.type Artículo es
dcterms.abstract We analyze the problem of quantifying entanglement in pure and mixed states of fermionic systems with fixed number parity yet not necessarily fixed particle number. The mode entanglement between one single-particle level and its orthogonal complement is first considered, and an entanglement entropy for such a partition of a particular basis of the single-particle Hilbert spaceHis defined. The sum over all single-particle modes of this entropy is introduced as a measure of the total entanglement of the system with respect to the chosen basis and it is shown that its minimum over all bases ofHis a function of the one-body density matrix. Furthermore, we show that if minimization is extended to all bases related through a Bogoliubov transformation, then the entanglement entropy is a function of the generalized one-body density matrix. These results are then used to quantify entanglement in fermion systems with four single-particle levels. For general pure states of such a system a closed expression for the fermionic concurrence is derived, which generalizes the Slater correlation measure defined in [J. Schliemann et al, Phys. Rev. A 64, 022303 (2001)], implying that particle entanglement may be seen as minimum mode entanglement . It is also shown that the entanglement entropy defined before is related to this concurrence by an expression analogous to that of the two-qubit case. For mixed states of this system the convex roof extension of the previous concurrence and entanglement entropy are evaluated analytically, extending the results of previous ref. to general states. en
dcterms.creator.author Gigena, Nicolás Alejandro es
dcterms.creator.author Rossignoli, Raúl Dante es
dcterms.extent 10 p. es
dcterms.identifier.other DOI:10.1103/PhysRevA.92.042326 es
dcterms.isPartOf.issue vol. 92 es
dcterms.isPartOf.series Physical Review A es
dcterms.issued 2015-10-23
dcterms.language Inglés es
dcterms.license Attribution-NonCommercial-NoDerivatives 4.0 Internacional es
dcterms.subject Fermion systems en
dcterms.subject quantum entanglement en
dcterms.subject.materia Ingenierías y Tecnologías es
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