Thermal entanglement in a two-qubit Heisenberg XY chain with the Dzyaloshinskii–Moriya interaction

2008 ◽  
Vol 17 (8) ◽  
pp. 2800-2803 ◽  
Author(s):  
Qin Meng ◽  
Xu Sheng-Long ◽  
Tao Ying-Juan ◽  
Tian Dong-Ping
Keyword(s):  
Thermal Entanglement ◽  
Xy Chain ◽  
Moriya Interaction

THERMAL ENTANGLEMENT OF A TWO-QUTRIT XXZ SPIN CHAIN WITH DZIALOSHISKI-MORIYA INTERACTION

2009 ◽  
Vol 07 (05) ◽  
pp. 1021-1028
Author(s):  
XIAO SAN MA
Keyword(s):  
Spin Chain ◽  
Thermal Entanglement ◽  
Strong Anisotropy ◽  
Weak Anisotropy ◽  
Positive Role ◽  
Dm Interaction ◽  
Entanglement Evolution ◽  
Maximum Value ◽  
Moriya Interaction

The effect of Dzialoshiski-Moriya (DM) interaction and anisotropy on the thermal entanglement of a two-qutrit XXZ spin chain is investigated. Our analysis implies that the DM interaction and weak anisotropy can enhance the thermal entanglement to a maximum value while the strong anisotropy plays a positive role in shrinking thermal entanglement. Furthermore, we find that the entanglement evolution in terms of anisotropy is sensitive to weak anisotropy.

Quantum phase transition for the XY chain with Dzyaloshinsky–Moriya interaction

2018 ◽  
Vol 16 (06) ◽  
pp. 1850051 ◽  
Author(s):  
Biao-Liang Ye ◽  
Yan Luo ◽  
Shu-Yuan Jiang ◽  
Dan Zhang ◽  
Jian-Qin Xu ◽  
...  
Keyword(s):  
Phase Transition ◽  
Quantum Phase Transition ◽  
Quantum Coherence ◽  
Coupling Parameter ◽  
Spin Model ◽  
Quantum Phase ◽  
Spin Models ◽  
Two Measures ◽  
Xy Chain ◽  
Moriya Interaction

We study quantum phase transition of the [Formula: see text] spin model with Dzyaloshinsky–Moriya interaction, by using quantum correlation measures, i.e. quantum deficit and measurement-induced disturbance. It is shown that as the Dzyaloshinsky–Moriya coupling parameter [Formula: see text] increases, the behaviors of quantum phase transition can be suppressed. We also investigate quantum phase transition for the Ising and [Formula: see text] spin models at finite temperature. It is found that quantum phase transition characterized by measurement-induced disturbance is greater than or equal to that characterized by quantum deficit. Other interesting analytical results and numerical results on quantum phase transition for the proposed spin models are also presented by applying the two measures. Furthermore, we also compare quantum deficit and measurement-induced disturbance with quantum entanglement, quantum discord and quantum coherence.

Dzyaloshinskii–Moriya interaction and anisotropy effects on the tripartite quantum discord of Heisenberg XY model

2017 ◽  
Vol 15 (03) ◽  
pp. 1750021 ◽  
Author(s):  
Wajid Joyia ◽  
Khalid Khan
Keyword(s):  
Phase Transition ◽  
Renormalization Group ◽  
Critical Point ◽  
Quantum Phase Transition ◽  
Quantum Discord ◽  
Xy Model ◽  
Dm Interaction ◽  
Xy Chain ◽  
Moriya Interaction ◽  
Spin Fluid

In this paper, we address the tripartite quantum discord for the Heisenberg XY chain with the Dzyaloshinskii–Moriya (DM) interaction using the quantum renormalization-group (QRG) method. In thermodynamic limit, like the entanglement, the tripartite discord exhibits the quantum phase transition (QPT) between the spin-fluid and the Neel phases. The effect of the DM interaction and the anisotropy on the features of the tripartite quantum discord has been probed. It is noted that the DM interaction brings the critical point earlier and affects heavily with the size of the system. Moreover, the system requires a larger number of the iterations to achieve the QPT for the tripartite quantum discord as compared to the entanglement.

PAIRWISE ENTANGLEMENT IN THE N-QUBIT XX MODEL WITH DZYALOSHINSKI–MORIYA INTERACTION AND MAGNETIC FIELD

2011 ◽  
Vol 25 (16) ◽  
pp. 2135-2148
Author(s):  
BIN ZHOU
Keyword(s):  
Magnetic Field ◽  
Critical Temperature ◽  
Magnetic Fields ◽  
Nearest Neighbor ◽  
Zero Temperature ◽  
Thermal Entanglement ◽  
Dm Interaction ◽  
Xx Model ◽  
Moriya Interaction

In this paper, we investigate the role of Dzyaloshinski–Moriya (DM) interaction in the pairwise entanglement in the three- and four-qubit XX models with magnetic field. In the four-qubit model, the pairwise entanglements of two nearest-neighbor qubits and two next-neighbor qubits are investigated, respectively. The dependences of the critical temperature at which the pairwise thermal entanglement disappears on DM interaction and magnetic fields are studied in details. At zero temperature, the entanglement can undergo sudden changes with adjustment of the parameters, and the general results of the concurrence are obtained in all cases.

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