Bound entanglement in quantum phase transitions

Details Bound entanglement in quantum phase transitions Bound entanglement in quantum phase transitions

2009-09-12

arxiv.org/abs/0909.2342v2

Phys. Rev. A 81, 042302 (2010)

Physics

Quantum Physics

9 pages, 8 figures

Scientific paper

10.1103/PhysRevA.81.042302

We investigate quantum phase transitions in which a change in the type of entanglement from bound entanglement to either free entanglement or separability may occur. In particular, we present a theoretical method to construct a class of quantum spin-chain Hamiltonians that exhibit this type of quantum criticality. Given parameter-dependent two-site reduced density matrices (with prescribed entanglement properties), we lay out a reverse construction for a compatible pure state for the whole system, as well as a class of Hamiltonians for which this pure state is a ground state. This construction is illustrated through several examples.

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