Refereed journal article or data article (A1)
Emergence of anomalous dynamics from the underlying singular continuous spectrum in interacting many-body systems
List of Authors: Settino J, Talarico NW, Cosco F, Plastina F, Maniscalco S, Lo Gullo N
Publisher: AMER PHYSICAL SOC
Publication year: 2020
Journal: Physical Review B
Journal name in source: PHYSICAL REVIEW B
Journal acronym: PHYS REV B
Article number: ARTN 144303
Volume number: 101
Issue number: 14
Number of pages: 8
ISSN: 2469-9950
DOI: http://dx.doi.org/10.1103/PhysRevB.101.144303
Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/46992934
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.
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