Thermal entanglement of a two-qutrit XX spin chain with Dzialoshinski–Moriya interaction

Effect of decoherence from a spin environment on the entanglement dynamics of two-qutrit states

“…Based on Peres' criterion [6] for separability, Zyczkowski et al [5] proposed negativity as entanglement measure to evaluate the quantum correlation of multipartite systems with high dimensions. Negativity can be employed to evaluate the quantum correlation efficiently to a large extent and it has been applied to the study of the entanglement of quantum states extensively [7][8][9]. With negativity as entanglement measure, the entanglement properties of spin chain systems are interesting and much work has been done [10][11][12][13][14][15].…”

Thermal Entanglement in a Two-Qubit Ising Chain Subjected to Dzyaloshinsky—Moriya Interaction

“…It is shown that when the DM interaction along the Ising axis is considerable, thermal entanglement can be sustained for higher temperature. The usefulness of longitudinal DM interaction over the one that is perpendicular to the Ising axis, in the manipulation and control of entanglement at a feasible temperature, is illustrated.The study of thermal entanglement, the entanglement in the thermal equilibrium state of a quantum system, particularly quantum spin chains in solid state systems, is known to provide a bridge between quantum information processing and condensed matter physics [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. The usefulness of entangled spin chains in thermal equilibrium to the future realization of quantum computers [16] necessitates this potentially rich area of study.…”

“…In this context many authors have studied the entanglement properties in both the ground and thermal states of spin chains interacting through various Heisenberg interaction models such as XX, XY , XXZ and XY Z [2-6]. The study of thermal entanglement properties in solid state systems with Ising like interaction subjected to an external transverse magnetic field has also been carried out quite extensively [7-10].Dzialoshinski-Moriya (DM) interaction [17,18], an anisotropic and antisymmetric exchange interaction, arising due to spin orbit coupling is seen to enhance the thermal and ground state entanglement of Heisenberg spin chains [11][12][13][14]. The anisotropy and antisymmetry of the interaction is evident through its form , 18].…”

Bell violation for the thermal states of an XXZ spin chain with Dzialoshiski-Moriya interaction

“…Bell violation and entanglement are two different things in quantum information theory even though they share some common properties [6,7]. Recently, the thermal entanglement of various spin chains is of interest and much work has been done [8][9][10][11][12][13][14][15][16] because the physically realizable quantum mechanisms are not always at zero temperature but often in a thermal equilibrium, e.g. the initial state in NMR (nuclear magnetic resonance) based quantum computing is a thermal state [17][18][19][20].…”

“…In [12], the authors considered the thermal teleportation of an XX two-qubit spin chain with DM interaction and they found that the DM interaction can enhance the fidelity of teleporta-*Corresponding author (email: mxiaosan79@gmail.com) tion. The effect of DM interaction on thermal entanglement of qutrit states was investigated by the researchers in [13,14], where they analyzed the thermal entanglement of a two-qutrit XX spin chain and an Ising spin chain, respectively. Much recently, the authors have analyzed the effect of the DM interaction, the anisotropy, the external field on the thermal entanglement of thermal states of a multi-qubit system [15,16].…”