Physics – Quantum Physics
Scientific paper
2005-06-24
Phys. Rev. E72, 032327 (2005)
Physics
Quantum Physics
6 pages, 2 figures
Scientific paper
10.1103/PhysRevA.72.032327
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 $\sigma\log_{2}[2\pi en(L-n)/L]+C$, where $\sigma$ is the on-site spin and $C$ is a function depending only on magnetization.
Popkov Vladislav
Salerno Mario
Schuetz Gunter
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