Entangling power of permutation invariant quantum states

Abstract

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.

6 pages, 2 figures

References in corpus (4)

• Entanglement in quantum critical phenomena
• Universality of Entropy Scaling in 1D Gap-less Models
• Logarithmic divergence of the block entanglement entropy for the ferromagnetic Heisenberg model
• Universality in the entanglement structure of ferromagnets

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