Thermal concurrence mixing in a one-dimensional Ising model

Thermal concurrence mixing in a one-dimensional Ising model
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DOI:
10.1103/physreva.64.042302
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发表时间:
2001-10-01
期刊:
影响因子:
2.9
通讯作者:
Bose, S
Bose, S
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Gunlycke, D;Kendon, VM;Bose, S

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我们研究了一维伊辛链在任意方向磁场中自然产生的纠缠。我们发现,对于不同的温度,不同的磁场取向会产生最大的纠缠。在高温极限下,此最佳取向对应于垂直于Ising取向(z方向)的磁场。在低温极限下,我们发现磁场与z方向的夹角变化很小,会导致纠缠度的快速上升。我们还发现,最大纠缠的磁场方向随场强的不同而不同。此外,由于满足一定条件的纯态的混合,我们还导出了一个简单的混合共轭(纠缠的量度)的规则。
We investigate the entanglement arising naturally in a one-dimensional Ising chain in a magnetic field in an arbitrary direction. We find that for different temperatures, different orientations of the magnetic field give maximum entanglement. In the high-temperature limit, this optimal orientation corresponds to the magnetic field being perpendicular to the Ising orientation (z direction). In the low-temperature limit, we find that varying the angle of the magnetic field very slightly from the z direction leads to a rapid rise in entanglement. We also find that the orientation of the magnetic field for maximum entanglement varies with the field amplitude. Furthermore, we have derived a simple rule for the mixing of concurrences (a measure of entanglement) due to the mixing of pure states satisfying certain conditions.