Universality of the negativity in the Lipkin-Meshkov-Glick model

H. Wichterich; J. Vidal; S. Bose

doi:10.1103/physreva.81.032311

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arXiv · 0910.1011

Universality of the negativity in the Lipkin-Meshkov-Glick model

H. Wichterich·J. Vidal·S. Bose

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Abstract

The entanglement between noncomplementary blocks of a many-body system, where a part of the system forms an ignored environment, is a largely untouched problem without analytic results. We rectify this gap by studying the logarithmic negativity between two macroscopic sets of spins in an arbitrary tripartition of a collection of mutually interacting spins described by the Lipkin-Meshkov-Glick Hamiltonian. This entanglement measure is found to be finite and universal at the critical point for any tripartition whereas it diverges for a bipartition. In this limiting case, we show that it behaves as the entanglement entropy, suggesting a deep relation between the scaling exponents of these two independently defined quantities which may be valid for other systems.

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BibTeX RIS

H. Wichterich, J. Vidal, S. Bose. 2010-03-11. Universality of the negativity in the Lipkin-Meshkov-Glick model. https://doi.org/10.1103/physreva.81.032311

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