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 language | English |
|---|---|
| Pages (from-to) | 3753-3762 |
| Number of pages | 10 |
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 39 |
| Issue number | 14 |
| DOIs | |
| Publication status | Published - 2006 Apr 7 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)
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Moriya, H. (2006). On separable states for composite systems of distinguishable fermions. Journal of Physics A: Mathematical and General, 39(14), 3753-3762. https://doi.org/10.1088/0305-4470/39/14/017