Quantum Correlations in Spin Chains at Finite Temperatures and Quantum Phase Transitions

T. Werlang, C. Trippe, G. A. P. Ribeiro, and Gustavo Rigolin
Phys. Rev. Lett. 105, 095702 – Published 25 August 2010

Abstract

We compute the quantum correlation [quantum discord (QD)] and the entanglement (EOF) between nearest-neighbor qubits (spin-1/2) in an infinite chain described by the Heisenberg model (XXZ Hamiltonian) at finite temperatures. The chain is in the thermodynamic limit and thermalized with a reservoir at temperature T (canonical ensemble). We show that QD, in contrast to EOF and other thermodynamic quantities, spotlight the critical points associated with quantum phase transitions (QPT) for this model even at finite T. This remarkable property of QD may have important implications for experimental characterization of QPTs when one is unable to reach temperatures below which a QPT can be seen.

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  • Received 16 June 2010

DOI:https://doi.org/10.1103/PhysRevLett.105.095702

© 2010 The American Physical Society

Authors & Affiliations

T. Werlang1, C. Trippe2, G. A. P. Ribeiro1, and Gustavo Rigolin1,*

  • 1Departamento de Física, Universidade Federal de São Carlos, São Carlos, SP 13565-905, Brazil
  • 2Fachbereich C-Physik, Bergische Universität Wuppertal, 42097 Wuppertal, Germany

  • *rigolin@ufscar.br

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Vol. 105, Iss. 9 — 27 August 2010

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