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arXiv 1503.01512cond-mat.stat-mechquant-ph
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不连续临界点处失超的普适标度

Universal scaling in quenches across a discontinuity critical point

Sei Suzuki, Amit Dutta

摘要:

我们研究了系统参数在不连续量子相变附近,特别是不连续临界点(DCP)(或一阶临界点)的缓慢变化(空间和时间)。我们得到了普遍的标度关系的缺陷的密度和剩余能量后的时间淬火,而我们也解开了与空间淬火的对称性破缺场的特征长度尺度的标度。考虑到自旋为1/2的XXZ链,我们建立了当DCP位于无隙临界相的边界时,这些标度关系是如何被修改的;这些预测也得到了数值证实。

英文摘要:

We study slow variation (both spatial as well as temporal) of a parameter of a system in the vicinity of discontinuous quantum phase transitions, in particular, a discontinuity critical point (DCP) (or a first-order critical point). We obtain the universal scaling relations of the density of defects and the residual energy after a temporal quench, while we also unravel the scaling of the characteristic length scale associated with a spatial quench of a symmetry breaking field. Considering a spin-1/2 XXZ chain we establish how these scaling relations get modified when the DCP is located at the boundary of a gapless critical phase; these predictions are also confirmed numerically.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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