Abstract
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-André 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 language | English |
|---|---|
| Article number | 144303 |
| Number of pages | 8 |
| Journal | Physical Review B |
| Volume | 101 |
| Issue number | 14 |
| DOIs | |
| Publication status | Published - 1 Apr 2020 |
| MoE publication type | A1 Journal article-refereed |
Funding
The authors acknowledge financial support from the Academy of Finland Centre of Excellence program (Project No. 312058) and the Academy of Finland (Project No. 287750). N.L.G. acknowledges financial support from the Turku Collegium for Science and Medicine (TCSM). Numerical simulations were performed exploiting the Finnish CSC facilities under Project No. 2001004 (“Quenches in weakly interacting ultracold atomic gases with nontrivial geometries”).