Absence of localization in interacting spin chains with a discrete symmetry.

Absence of localization in interacting spin chains with a discrete symmetry.
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DOI:
10.1038/s41467-023-39468-4
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发表时间:
2023-06-24
影响因子:
16.6
通讯作者:
Bar Lev, Yevgeny
Bar Lev, Yevgeny
中科院分区:
综合性期刊1区
文献类型:
--
作者:
Kloss, Benedikt;Halimeh, Jad C.;Lazarides, Achilleas;Bar Lev, Yevgeny

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Novel paradigms of strong ergodicity breaking have recently attracted significant attention in condensed matter physics. Understanding the exact conditions required for their emergence or breakdown not only sheds more light on thermalization and its absence in closed quantum many-body systems, but it also has potential benefits for applications in quantum information technology. A case of particular interest is many-body localization whose conditions are not yet fully settled. Here, we prove that spin chains symmetric under a combination of mirror and spin-flip symmetries and with a non-degenerate spectrum show finite spin transport at zero total magnetization and infinite temperature. We demonstrate this numerically using two prominent examples: the Stark many-body localization system (Stark-MBL) and the symmetrized many-body localization system (symmetrized–MBL). We provide evidence of delocalization at all energy densities and show that delocalization persists when the symmetry is broken. We use our results to construct two localized systems which, when coupled, delocalize each other. Our work demonstrates the dramatic effect symmetries can have on disordered systems, proves that the existence of exact resonances is not a sufficient condition for delocalization, and opens the door to generalization to higher spatial dimensions and different conservation laws. Many-body localization is an important example of non-ergodic behaviour, however the conditions for its existence and stability are not fully established. Kloss et al establish theoretically and numerically the absence of many-body localization in a broad class of spin models respecting certain symmetries.
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