Entangling power of permutation-invariant quantum states

Journal Article · Thu Sep 15 00:00:00 EDT 2005 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.72.032327· OSTI ID:20718513

Popkov, Vladislav; Salerno, Mario; Schuetz, Gunter ^[1]

---

1. Institut fuer Theoretische Physik, Universitaet zu Koeln, Zuelpicher Strasse 77, 50937 Cologne(Germany)

We investigate the von Neumann entanglement entropy as function of the size of a subsystem for permutation invariant ground states in models with finite number of states per site, e.g., in quantum spin models. We demonstrate that the entanglement entropy of n sites in a system of length L generically grows as {sigma} log{sub 2}[2{pi}en(L-n)/L]+C, where {sigma} is the on-site spin and C is a function depending only on magnetization.

• OSTI ID: 20718513
• Journal Information: Physical Review. A, Vol. 72, Issue 3; Other Information: DOI: 10.1103/PhysRevA.72.032327; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
36 MATERIALS SCIENCE
ENTROPY
GROUND STATES
HEISENBERG MODEL
LENGTH
MAGNETIZATION
QUANTUM ENTANGLEMENT
QUANTUM MECHANICS
SPIN