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-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 language | English |
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Article number | 144303 |
Pages (from-to) | 1-8 |
Number of pages | 8 |
Journal | Physical Review B |
Volume | 101 |
Issue number | 14 |
DOIs | |
Publication status | Published - 6 Apr 2020 |
MoE publication type | A1 Journal article-refereed |
Keywords
- QUANTUM DYNAMICS
- LOCALIZATION