Thermal entanglement in a Heisenberg chain with Dzyaloshinski-Moriya anisotropic antisymmetric interaction in external magnetic fields

Abstract

Abstract:

The influences of the DM coupling constant D, the temperature T, the uniform external magnetic field B, the nonuniform magnetic field b, the real coupling constant J and the anisotropic parameter Δ on the thermal entanglement measured by the concurrence C are studied in detail. The results show that both the increasing T and |B| decrease the C, but the increasing D develops the C, and D can also heighten the value of the threshold magnetic field |Bt|, before and after which the b has different influence on C. By comparison, it is found that the B and b have different effects on the area about J and Δ (JΔ > 0) where exists thermal entanglement as well as on C. What’s more, as the T increases, the variation rule of the range of B in which exists the thermal entanglement is different from b. As a result, the thermal entanglement can be controlled by adjusting the values of B, b, D, T, J and Δ in various terrible environment, such as in strong external magnetic field, or high temperature environment, which will be useful in the research of quantum information in solid systems.

CLC Number:

O431.2

Huang Liyuan, Fang Maofa. Thermal entanglement in a Heisenberg chain with Dzyaloshinski-Moriya anisotropic antisymmetric interaction in external magnetic fields[J]. Chinese Journal of Quantum Electronics, 2018, 35(4): 444-450.

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