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Emergence of anomalous dynamics from the underlying singular continuous spectrum in interacting many-body systems
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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en
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8
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Physical Review B, Volume 101, issue 14, pp. 1-8
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.
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Settino, J, Talarico, N W, Cosco, F, Plastina, F, Maniscalco, S & Lo Gullo, N 2020, 'Emergence of anomalous dynamics from the underlying singular continuous spectrum in interacting many-body systems', Physical Review B, vol. 101, no. 14, 144303, pp. 1-8. https://doi.org/10.1103/PhysRevB.101.144303