Symmetry-breaking effects upon bipartite and multipartite entanglement in theXYmodel

2007/09/30 by Thiago R. de Oliveira, Gustavo Rigolin, M. C. de Oliveira +2 · 3 citations
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum many-body systems #cond-mat.stat-mech #quant-ph

paper · pdf · doi:10.1103/physreva.77.032325

published as Phys. Rev. A 77, 032325 (2008) · 13 pages, 19 figures, comments welcome. V2: small changes, published version

openalex publication_date 2008/03/14 · arxiv created 2008/03/18 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We analyze the bipartite and multipartite entanglement for the ground state of the one-dimensional XY model in a transverse magnetic field in the thermodynamical limit. We explicitly take into account the spontaneous symmetry breaking in order to explore the relation between entanglement and quantum phase transitions. As a result we show that while both bipartite and multipartite entanglement can be enhanced by spontaneous symmetry breaking deep into the ferromagnetic phase, only the latter is affected by it in the vicinity of the critical point. This result adds to the evidence that multipartite, and not bipartite, entanglement is the fundamental indicator of long-range correlations in quantum phase transitions.

Citations

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Diverging Entanglement Length in Gapped Quantum Spin Systems
• Separability Criterion for Density Matrices
• Entanglement versus Correlations in Spin Systems
• Global entanglement in multiparticle systems
• Distributed Entanglement

Cited by

• Thermal quantum and classical correlations in a two-qubit XX model in a nonuniform external magnetic field
• Optimal Correlations in Many-Body Quantum Systems
• Quantum coherence and uncertainty in the anisotropic XY chain

Related

• Multipartite entanglement in quantum phase transitions
• Ground-state and thermal entanglements in a non-Hermitian XY system with real and imaginary magnetic fields
• Persistence of entanglement in thermal states of spin systems
• Spin dynamics in the XY model
• Multipartite entanglement serves as a faithful detector for quantum phase transitions