弱无序对各向异性XY链中动态量子相变的影响

Kaiyuan Cao, Wenwen Li, Ming Zhong, P. Tong
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引用次数: 8

摘要

通过数值计算猝灭后的洛施密特回波,研究了无序对横向场各向异性XY链中动态量子相变的影响。通过与均匀链的结果比较,我们发现当淬火越过伊辛转变时,小的失序会引起一个新的临界点。随着紊乱程度的增加,dqpt会出现更多的临界点,构成一个临界区域。在跨各向异性转变的淬火过程中,由于均质链中已经存在两个动态相变,无序性会在临界点附近形成一个临界区域,而临界区域的宽度随着无序强度的增大而增大。在淬火通过两条临界线的情况下,小的失序导致系统有三个额外的临界点。当淬火处于铁磁相时,较大的失序使均匀情况下的两个临界点成为一个临界区域。而在顺磁相位淬火时,较大的失序会导致dqpt消失。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Influence of weak disorder on the dynamical quantum phase transitions in the anisotropic XY chain
We study the effects of disorder on the dynamical quantum phase transitions (DQPTs) in the transverse-field anisotropic XY chain by numerically calculating the Loschmidt echo after quench. By comparing the results with that of the homogeneous chain, we find that when the quench crosses the Ising transition, the small disorder will cause a new critical point. As the disorder increases, more critical points of the DQPTs will occur, constituting a critical region. In the quench across the anisotropic transition, since there are already two dynamical phase transitions in the homogeneous chain, the disorder will cause a critical region near the critical point, and the width of the critical region increases by the disordered strength. In the case of quench passing through two critical lines, the small disorder leads to the system to have three additional critical points. When the quench is in the ferromagnetic phase, the large disorder causes the two critical points of the homogeneous case to become a critical region. And for the quench in the paramagnetic phase, the larger disorder will cause the DQPTs to disappear.
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