Regular Article

Local quantum uncertainty in XY Z Heisenberg spin models with Dzyaloshinski–Moriya interaction

¹ Faculty of Applied Sciences, Ibn Zohr University, Ait-Melloul, Morocco
² TPTHE, Department of Physics, Faculty of Sciences, Ibn Zohr University, Agadir, Morocco
³ Abdus Salam International Centre for Theoretical Physics, Strada Costiera, 11, 34151 Trieste, Italy
⁴ Laboratory of High Energy and Condensed Matter Physics, Department of Physics, Faculty of Sciences Aïn Chock, University Hassan II, P.O. Box 5366 Maarif, Casablanca 20100, Morocco

^a e-mail: n.habiballah@uiz.ac.ma

Received: 30 May 2018
Received in final form: 30 June 2018
Published online: 13 September 2018

Abstract

We employ the local quantum uncertainty as reliable quantifier of discord-like correlations of a two-qubit one-dimensional XY Z Heisenberg chain with Dzyaloshinski–Moriya interaction in thermal equilibrium. We discuss the behavior of quantum correlations in terms of the Dzyaloshinski–Moriya coupling parameter and the temperature of the bath. A special emphasis is devoted to the effects induced by the Dzyaloshinski–Moriya interaction which tend to increase the amount of quantum discord contained in the system.