Interacting quasiperiodic spin chains in the prethermal regime

TL;DR

This paper investigates the non-ergodic extended regime in quasiperiodic spin chains, proposing it as a prethermal phenomenon caused by deep wells in the disorder potential, rather than an asymptotic property.

Contribution

It introduces a new mechanism for the NEE regime based on disorder potential wells and distinguishes intermediate-time dynamics from long-term behavior in quasiperiodic systems.

Findings

NEE regime is a prethermal feature identifiable through autocorrelation functions.

Deep wells in disorder potential can induce NEE phenomenology without mobility edges.

NEE behavior in quasiperiodic models is transient and not stable in the long term.

Abstract

Recent progress in the study of many-body localization (MBL) in strongly disordered interacting spin chains has emphasized the importance of distinguishing finite time prethermal behavior from long time and large volume asymptotics. We re-examine a reported non-ergodic extended (NEE) regime in the interacting quasiperiodic Ganeshan-Pixley-Das Sarma model from this perspective, and propose that this regime is a prethermal feature. Indeed, we argue that the NEE regime may be identified through a change in the functional form of spin-spin autocorrelation functions, demonstrating that the NEE regime is distinguishable within intermediate-time dynamics. This is in contrast with existing conjectures relating the NEE regime to the presence of an asymptotic mobility edge in the single-particle spectrum. Thus, we propose a mechanism for the formation of an NEE regime which does not rely on asymptotic properties of the spin chain. Namely, we propose that the NEE regime emerges due to regularly spaced deep wells in the disorder potential. The highly detuned sites suppress spin transport across the system, effectively cutting the chain, and producing a separation of time scales between the spreading of different operators. To support this proposal, we show that the NEE phenomenology also occurs in random models with deep wells but with no mobility edges, and does not occur in quasiperiodic models with mobility edges but with no deep wells. Our results support the broad conclusion that there is not a sharp distinction between the dynamics of quasiperiodically and randomly disordered systems in the prethermal regime. More specifically, we find that generic interacting quasiperiodic models do not have stable intermediate dynamical phases arising from their single-particle mobility edges, and that NEE phenomenology in such models is transient.