Quantum Discord and Information Deficit in Spin Chains

Entropy

Norma Canosa²  Leonardo Ciliberti²  Raúl Rossignoli¹  Demosthenes Ellinas²  Giorgio Kaniadakis²  Jiannis Pachos² 

[1] Departamento de Física-IFLP, Universidad Nacional de La Plata, C.C.67, La Plata 1900, Argentina;

关键词: quantum correlations;    entropic measures;    quantum discord;    information deficit;    spin systems;   

DOI  :  10.3390/e17041634

来源: mdpi

【 摘 要 】

We examine the behavior of quantum correlations of spin pairs in a finite anisotropic XY spin chain immersed in a transverse magnetic field, through the analysis of the quantum discord and the conventional and quadratic one-way information deficits. We first provide a brief review of these measures, showing that the last ones can be obtained as particular cases of a generalized information deficit based on general entropic forms. All of these measures coincide with an entanglement entropy in the case of pure states, but can be non-zero in separable mixed states, vanishing just for classically correlated states. It is then shown that their behavior in the exact ground state of the chain exhibits similar features, deviating significantly from that of the pair entanglement below the critical field. In contrast with entanglement, they reach full range in this region, becoming independent of the pair separation and coupling range in the immediate vicinity of the factorizing field. It is also shown, however, that significant differences between the quantum discord and the information deficits arise in the local minimizing measurement that defines them. Both analytical and numerical results are provided.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland