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 |
| Externally published | Yes |
Fingerprint
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematical Physics
Cite this
On separable states for composite systems of distinguishable fermions. / Moriya, Hajime.
In: Journal of Physics A: Mathematical and General, Vol. 39, No. 14, 07.04.2006, p. 3753-3762.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - On separable states for composite systems of distinguishable fermions
AU - Moriya, Hajime
PY - 2006/4/7
Y1 - 2006/4/7
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=33645142013&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33645142013&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/39/14/017
DO - 10.1088/0305-4470/39/14/017
M3 - Article
AN - SCOPUS:33645142013
VL - 39
SP - 3753
EP - 3762
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
SN - 1751-8113
IS - 14
ER -