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Bound entanglement in quantum phase transitions

Baghbanzadeh, S ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1103/PhysRevA.81.042302
  3. Abstract:
  4. 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
  5. Keywords:
  6. Bound entanglement ; Density matrix ; Entanglement properties ; Lay-out ; Pure state ; Quantum criticality ; Quantum phase transitions ; Quantum spin ; Whole systems ; Hamiltonians ; Phase transitions ; Quantum entanglement
  7. Source: Physical Review A - Atomic, Molecular, and Optical Physics ; Volume 81, Issue 4 , 2010 ; 10502947 (ISSN)
  8. URL: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.81.042302