Entanglement quantifiers and phase transitions

Details Entanglement quantifiers and phase transitions Entanglement quantifiers and phase transitions

2005-10-17

arxiv.org/abs/quant-ph/0510132v3

New J. Phys. 8, 260 (2006)

Physics

Quantum Physics

4 pages, 7 figures. v2: references, text, and figures improved. v3: references added, 5 pages, 7 figures, text improved

Scientific paper

10.1088/1367-2630/8/10/260

By the topological argument that the identity matrix is surrounded by a set of separable states follows the result that if a system is entangled at thermal equilibrium for some temperature, then it presents a phase transition (PT) where entanglement can be viewed as the order parameter. However, analyzing different entanglement measures in the 2-qubit context, we see that different entanglement quantifiers can indicate different orders for the same PT. Examples are given for different Hamiltonians. Moving to the multipartite context we show necessary and sufficient conditions for a family of entanglement monotones to attest quantum phase transitions.

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