Coexistence of localization and transport in many-body two-dimensional Aubry-André models
Coexistence of localization and transport in many-body two-dimensional Aubry-André models
复制标题
多体二维 Aubry-André 模型中定位和传输的共存
DOI：
10.1103/physrevb.106.184209
复制
发表时间：
2022
影响因子：
3.7
通讯作者：
C. Castelnovo
中科院分区：
文献类型：
--
作者：
A. Štrkalj;Elmer V. H. Doggen;C. Castelnovo
无序和准周期多体量子系统是否存在热力学极限中的长寿命局域相一直是最近激烈争论的主题。虽然在一个维度上存在这样的多体定域(MBL)相的大量证据，但在更高维度的行为仍然是一个开放的谜团。例如，在二维无序系统中，有人认为稀有区域可能通过一种被称为雪崩不稳定性的机制导致整个系统的热化。在准周期系统中，稀有区域完全不存在，到目前为止，假定的多体定域相的命运在很大程度上仍未被探索。在这项工作中，我们研究了两个多体准周期模型的局域化性质，它们是Aubry-Andre模型的二维推广。通过研究大系统的非平衡动力学，我们发现了一个与随机系统不同的长寿命的MBL相。此外，我们还证明了在所研究的准周期模型中出现的弱势确定线支持大规模输运，而系统作为一个整体并不热化。我们的结果表明，准周期多体系统具有显著的和反直觉的能力，表现出共存的局域化和输运性质-这一现象让人想起超固体的行为。我们的发现具有直接的实验相关性，例如，可以使用最先进的冷原子系统进行测试。
Whether disordered and quasiperiodic many-body quantum systems host a long-lived localized phase in the thermodynamic limit has been the subject of intense recent debate. While in one dimension substantial evidence for the existence of such a many-body localized (MBL) phase exists, the behavior in higher dimensions remains an open puzzle. In two-dimensional disordered systems, for instance, it has been argued that rare regions may lead to thermalization of the whole system through a mechanism dubbed the avalanche instability. In quasiperiodic systems, rare regions are altogether absent and the fate of a putative many-body localized phase has hitherto remained largely unexplored. In this work, we investigate the localization properties of two many-body quasiperiodic models, which are two-dimensional generalizations of the Aubry-Andr\'e model. By studying the out-of-equilibrium dynamics of large systems, we find a long-lived MBL phase, in contrast to random systems. Furthermore, we show that deterministic lines of weak potential, which appear in investigated quasiperiodic models, support large-scale transport, while the system as a whole does not thermalize. Our results demonstrate that quasiperiodic many-body systems have the remarkable and counter-intuitive capability of exhibiting coexisting localization and transport properties - a phenomenon reminiscent of the behavior of supersolids. Our findings are of direct experimental relevance and can be tested, for instance, using state-of-the-art cold atomic systems.
登录
查看更多内容
失效热化雪崩的平均场理论
影响因子：
3.7
作者：
Crowley, P. J.;Chandran, A.
通讯作者：
Chandran, A.
影响因子：
3.7
作者：
A. Szab'o;U. Schneider
通讯作者：
A. Szab'o;U. Schneider
影响因子：
8.6
作者：
Matteo Sbroscia;Konrad Viebahn;E. Carter;Jr-Chiun Yu;Alexander L. Gaunt;U. Schneider
通讯作者：
Matteo Sbroscia;Konrad Viebahn;E. Carter;Jr-Chiun Yu;Alexander L. Gaunt;U. Schneider
影响因子：
3.7
作者：
Gopalakrishnan, Sarang;Huse, David A.
通讯作者：
Huse, David A.
影响因子：
19.6
作者：
Léonard, Julian;Kim, Sooshin;Rispoli, Matthew;Lukin, Alexander;Schittko, Robert;Kwan, Joyce;Demler, Eugene;Sels, Dries;Greiner, Markus
通讯作者：
Greiner, Markus