Entanglement in SU(2)-invariant quantum spin systems
Journal Article
·
· Physical Review. A
- Department of Physics and Astronomy, University of Basel, CH-4056 Basel, (Switzerland)
We analyze the entanglement of SU(2)-invariant density matrices of two spins S(vector sign){sub 1}, S(vector sign){sub 2} using the Peres-Horodecki criterion. Such density matrices arise from thermal equilibrium states of isotropic-spin systems. The partial transpose of such a state has the same multiplet structure and degeneracies as the original matrix with the eigenvalue of largest multiplicity being non-negative. The case S{sub 1}=S, S{sub 2}=1/2 can be solved completely and is discussed in detail with respect to isotropic Heisenberg spin models. Moreover, in this case the Peres-Horodecki criterion turns out to be a sufficient condition for nonseparability. We also characterize SU(2)-invariant states of two spins of length 1.
- OSTI ID:
- 20639875
- Journal Information:
- Physical Review. A, Journal Name: Physical Review. A Journal Issue: 1 Vol. 68; ISSN 1050-2947; ISSN PLRAAN
- Country of Publication:
- United States
- Language:
- English
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