Emergence of anomalous dynamics from the underlying singular continuous spectrum in interacting many-body systems

J. Settino*, N. W. Talarico, F. Cosco, F. Plastina, S. Maniscalco, N. Lo Gullo

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

3 Citations (Scopus)
17 Downloads (Pure)


We investigate the dynamical properties of an interacting many-body system with a nontrivial energy potential landscape that may induce a singular continuous single-particle energy spectrum. Focusing on the Aubry-Andre model, whose anomalous transport properties in the presence of interaction was recently demonstrated experimentally in an ultracold-gas setup, we discuss the anomalous slowing down of the dynamics it exhibits and show that it emerges from the singular-continuous nature of the single-particle excitation spectrum. Our study demonstrates that singular-continuous spectra can be found in interacting systems, unlike previously conjectured by treating the interactions in the mean-field approximation. This, in turns, also highlights the importance of the many-body correlations in giving rise to anomalous dynamics, which, in many-body systems, can result from a nontrivial interplay between geometry and interactions.

Original languageEnglish
Article number144303
Pages (from-to)1-8
Number of pages8
JournalPhysical Review B
Issue number14
Publication statusPublished - 6 Apr 2020
MoE publication typeA1 Journal article-refereed



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