Analytic renormalized bipartite and tripartite quantum discords with quantum phase transition in XXZ spins chain

  • Wajid Joya
  • Salman Khan
  • M. Khalid Khan
  • Sher Alam
Regular Article

DOI: 10.1140/epjp/i2017-11492-x

Cite this article as:
Joya, W., Khan, S., Khalid Khan, M. et al. Eur. Phys. J. Plus (2017) 132: 215. doi:10.1140/epjp/i2017-11492-x


The behavior of bipartite quantum discord (BQD) and tripartite quantum discord (TQD) in the Heisenberg XXZ spins chain is investigated with the increasing size of the system using the approach of the quantum renormalization group method. Analytical relations for both BQD and TQD are obtained and the results are checked through numerical optimization. In the thermodynamics limit, both types of discord exhibit quantum phase transition (QPT). The boundary of QPT links the phases of saturated discord and zero discord. The first derivative of both discords becomes discontinuous at the critical point, which corresponds to the second-order phase transition. Qualitatively identical, the amount of saturated BQD strongly depends on the relative positions of spins inside a block. TQD can be a better candidate than BQD both for analyzing QPT and implementing quantum information tasks. The scaling behavior in the vicinity of the critical point is discussed.

Copyright information

© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.Department of PhysicsQuaid-i-Azam UniversityIslamabadPakistan
  2. 2.Department of PhysicsCOMSATS Institute of Information TechnologyIslamabadPakistan
  3. 3.NIMSTsukubaIbarakiJapan
  4. 4.Center of High Energy Physics, University of PunjabPakistan, Japan-Pakistan CollaborationOzoneJapan

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