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



: Settino J, Talarico NW, Cosco F, Plastina F, Maniscalco S, Lo Gullo N

Publisher: AMER PHYSICAL SOC

: 2020

: Physical Review B

: PHYSICAL REVIEW B

: PHYS REV B

: ARTN 144303

: 101

: 14

: 8

: 2469-9950

DOI: https://doi.org/10.1103/PhysRevB.101.144303

: 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.

Last updated on 2024-26-11 at 19:29