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arXiv · 2012.13722

Stark many-body localization: Evidence for Hilbert-space shattering

Elmer V. H. Doggen·Igor V. Gornyi·Dmitry G. Polyakov
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Abstract

We study the dynamics of an interacting quantum spin chain under the application of a linearly increasing field. This model exhibits a type of localization known as Stark many-body localization. The dynamics shows a strong dependence on the initial conditions, indicating that the system violates the conventional ("strong") eigenstate thermalization hypothesis at any finite gradient of the field. This is contrary to reports of a numerically observed ergodic phase. Therefore, the localization is crucially distinct from disorder-driven many-body localization, in agreement with recent predictions on the basis of localization via Hilbert-space shattering.

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Elmer V. H. Doggen, Igor V. Gornyi, Dmitry G. Polyakov. 2020-12-26. Stark many-body localization: Evidence for Hilbert-space shattering. https://doi.org/10.1103/physrevb.103.l100202

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