Equivalence of critical scaling laws for many-body entanglement in the Lipkin-Meshkov-Glick model

Abstract

We establish a relation between several entanglement properties in the Lipkin-Meshkov-Glick model, which is a system of mutually interacting spins embedded in a magnetic field. We provide analytical proofs that the single-copy entanglement and the global geometric entanglement of the ground state close to and at criticality behave as the entanglement entropy. These results are in deep contrast to what is found in one- dimensional spin systems where these three entanglement measures behave differently.

4 pages, 2 figures, published version

References in corpus (3)

• Entanglement in a second order quantum phase transition
• Finite-Size Scaling Exponents of the Lipkin-Meshkov-Glick Model
• Universal geometric entanglement close to quantum phase transitions

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