On separable states for composite systems of distinguishable fermions

Hajime Moriya

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6 Citations (Scopus)

Abstract

We study separable (i.e., classically correlated) states for composite systems of spinless fermions that are distinguishable. For a proper formulation of entanglement formation for such systems, the state decompositions for mixed states should respect the univalence superselection rule. Fermion hopping always induces non-separability, while states with bosonic hopping correlation may or may not be separable. Under the Jordan-Klein-Wigner transformation from a given bipartite fermion system into a tensor product one, any separable state for the former is also separable for the latter. There are, however, U(1)-gauge invariant states that are non-separable for the former but separable for the latter.

Original languageEnglish
Pages (from-to)3753-3762
Number of pages10
JournalJournal of Physics A: Mathematical and General
Volume39
Issue number14
DOIs
Publication statusPublished - 2006 Apr 7
Externally publishedYes

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ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics

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