Bound entanglement in quantum phase transitions

Abstract

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.

9 pages, 8 figures

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Cited by in corpus (6)

• Fidelity approach to quantum phase transitions
• Quantum Renormalization Group for Ground-State Fidelity
• Distillation of free entanglement from bound entangled states using weak measurements
• Entanglement of disjoint blocks in the one dimensional Spin 1 VBS
• Detection of bound entanglement in continuous variable systems
• Quantum gate description for induced coherence without induced emission and related phenomena