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

机译：从潜在的奇异连续谱互动在交互中的异常动态的出现

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摘要

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.
机译：我们研究了具有非活动能量潜在景观的相互作用的多体系的动态特性，其可以引起奇异连续单粒子能谱。专注于Aubry-Andre模型，其在互动存在下的异常运输性质在超级燃气设置中实验证明，我们讨论了它展示的动态的异常放缓，并表明它从奇异连续的性质中出现单粒子激发光谱的影响。我们的研究表明，通过处理平均场近似的相互作用，与先前猜定的相互作用的系统可以在相互作用系统中找到奇异连续光谱。反过来，这还突出了许多身体相关性在引起异常动态的重要性，这在许多身体系统中可以由几何和交互之间的非活动相互作用来产生。

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  • 来源
    《Physical review》 |2020年第14期|144303.1-144303.8|共8页
  • 作者

    J. Settino; N. W. Talarico; F. Cosco; F. Plastina; S. Maniscalco; N. Lo Gullo;

  • 作者单位

    Dipartimento di Fisica Universit della Calabria 87036 Anavacata di Rende Cosenza Italy INFN Gruppo collegato di Cosenza 87036 Arcavacata di Rende Cosenza Italy;

    QTF Centre of Excellence Turku Centre for Quantum Physics Department of Physics and Astronomy University of Turku 20014 Turku Finland;

    QTF Centre of Excellence Turku Centre for Quantum Physics Department of Physics and Astronomy University of Turku 20014 Turku Finland;

    Dipartimento di Fisica Universit della Calabria 87036 Anavacata di Rende Cosenza Italy INFN Gruppo collegato di Cosenza 87036 Arcavacata di Rende Cosenza Italy;

    QTF Centre of Excellence Turku Centre for Quantum Physics Department of Physics and Astronomy University of Turku 20014 Turku Finland QTF Centre of Excellence Department of Applied Physics Aalto University 00076 Aalto Finland;

    QTF Centre of Excellence Turku Centre for Quantum Physics Department of Physics and Astronomy University of Turku 20014 Turku Finland;

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