arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2307.04466cond-mat.stat-mech
收藏

有隙相互作用量子系统中量子猝灭后长寿命振荡的衰减

Decay of long-lived oscillations after quantum quenches in gapped interacting quantum systems

Jacob H. Robertson, Riccardo Senese, Fabian H. L. Essler

AI总结:

针对有隙相互作用量子系统中量子猝灭后长寿命振荡是否衰减的问题,通过可映射为弱相互作用费米子的自旋模型,用BBGKY层级方法分析,发现振荡会在随猝灭强度减小而增大的时间尺度后开始衰减。

摘要:

量子猝灭后局域可观测量期望值中长寿命振荡的存在,近来因其与弱遍历性破缺的关联引发了广泛关注。本文聚焦于一类在零温下支持运动学保护有隙激发的系统中,产生此类振荡的另一种机制。该领域的一个开放问题是这类振荡最终是否会衰减。我们通过研究可映射为弱相互作用费米子系统的自旋模型解决了这一问题,这类费米子系统可通过基于BBGKY层级的标准方法进行分析。我们发现存在一个时间尺度,超过该尺度后振荡开始衰减,且该时间尺度随猝灭强度减小而增大。

英文摘要:

The presence of long-lived oscillations in the expectation values of local observables after quantum quenches has recently attracted considerable attention in relation to weak ergodicity breaking. Here we focus on an alternative mechanism that gives rise to such oscillations in a class of systems that support kinematically protected gapped excitations at zero temperature. An open question in this context is whether such oscillations will ultimately decay. We resolve this issue by considering spin models that can be mapped to systems of weakly interacting fermions, which in turn are amenable to an analysis by standard methods based on the BBGKY hierarchy. We find that there is a time scale beyond which the oscillations start to decay, which grows as the strength of the quench is made small.

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。

↑