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Entanglement and avoided crossing dynamics in the disordered Majumdar-Ghosh model
Physica Scripta ( IF 2.9 ) Pub Date : 2021-06-03 , DOI: 10.1088/1402-4896/ac0469
Pranay Barkataki , M S Ramkarthik

We study the ground and first excited state of the finite one dimensional Majumdar-Ghosh model with quenched disorder about the avoided crossings. We find a relation between the shift of the first avoided crossing and average value of random numbers. For low disorder regime, the two-qubit, odd and even partition entanglement gets exchanged at avoided crossings for low spin, and former two for any value of spin. This effect has a deep relation with the dimerization nature of these states. We develop an expression sans entanglement measures to detect and study these crossings.



中文翻译:

无序 Majumdar-Ghosh 模型中的纠缠和避免交叉动力学

我们研究了有限一维 Majumdar-Ghosh 模型的基态和第一激发态,该模型具有关于避免交叉的淬火无序。我们发现第一个避免交叉的偏移与随机数的平均值之间存在关系。对于低无序状态,双量子位、奇偶分区纠缠在避免交叉处交换为低自旋,前两个为任何自旋值。这种效应与这些状态的二聚化性质有很深的关系。我们开发了一种无纠缠措施的表达式来检测和研究这些交叉。

更新日期:2021-06-03
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