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arXiv:1306.2592 · Chinese Physics Letters

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

B. G. Divyamani, Sudha

Published Dec 1, 2013• 3 citations
arXivHTMLPDF

Abstract

Thermal entanglement of a two-qubit Ising chain subjected to an external magnetic field and Dzyaloshinsky—Moriya (DM) interaction is examined. The effect of magnetic field, strength of DM interaction and temperature are analyzed by adopting negativity of partial transpose as the measure of entanglement. It is shown that when the DM interaction along the Ising axis is considerable, thermal entanglement can be sustained for a 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.

DOI
10.1088/0256-307x/30/12/120301

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Taking Dzyaloshinskii-Moriya(DM)effect interaction into account,the entanglement of two-qubit Ising model in an inhomogeneous magnetic field is investigated by means of Negativity theory.It is shown that the existence of DM interaction can obviously enhance the entanglement and put it into a maximum while the magnetic field reduces the entanglement.In addition,low temperature also plays a positive role in entanglement.Moreover,the influence of inhomogeneous magnetic field is also investigated. These effects indicate that one can control the thermal entanglement by manipulation of DM interaction, the homogeneous and inhomogeneous magnetic field and temperature.
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The effects of the different Dzyaloshinskii—Moriya (DM) interaction on thermal entanglement of a two-qutrit Heisenberg XX spin chain in a nonuniform magnetic field are investigated. Our results imply that the x-component DM interaction plays a central role in enhancing quantum entanglement and it has a higher critical temperature than the z-component DM interaction. The entanglement can be tunable controlled by changing the multiple of the magnetic fields B 1 and B 2 . Also we found that different DM interaction are competitive to each other in some conditions.
We investigate the exact entanglement dynamics of a two-qubit Heisenberg XXZ chain with Dzyaloshinskii-Moriya (DM) interactions, interacting with an anisotropic spin bath in thermal equi- librium at a temperature T, driven by an external magnetic field B along the z-axis. We establish that, for an initially entangled qubit pair, the DM interactions generate entanglement and enhance the entanglement in the revival region. The effects of the DM interaction are also seen to be very important at high temperatures and for weak coupling between the two qubits where it is seen to preserve entanglement. These effects are weakened when the magnetic field B and the Heisenberg coupling are switched on. If the two-qubits are prepared in an initially separable state, the DM in- teraction instead has a negative effect on their entanglement. On a whole entanglement can better be preserve in the spin chain even at high temperatures by increases the external magnetic field B and the Heisenberg couplings, and by tuning the strength of the DM interaction.