Wave-Turbulence Origin of the Instability of Anderson Localization against Many-Body Interactions

Wang, Zhen; Fu, Weicheng; Zhang, Yong; Zhao, Hong

doi:10.1103/physrevlett.124.186401

Cited by 36 publications

(28 citation statements)

References 41 publications

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“…Analogous observations have been made in disordered nonlinear Schrödinger chains, see e.g. [57][58][59][60][61][62].…”

supporting

confidence: 62%

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Prethermalization and wave condensation in a nonlinear disordered Floquet system

Haldar,

Mu,

Georgeot

et al. 2021

Preprint

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Periodically-driven quantum systems make it possible to reach stationary states with new emerging properties. However, this process is notoriously difficult in the presence of interactions because continuous energy exchanges generally boil the system to an infinite temperature featureless state.Here, we describe how to reach nontrivial states in a periodically-kicked Gross-Pitaevskii disordered system. One ingredient is crucial: both disorder and kick strengths should be weak enough to induce sufficiently narrow and well-separated Floquet bands. In this case, inter-band heating processes are strongly suppressed and the system can reach an exponentially long-lived prethermal plateau described by the Rayleigh-Jeans distribution. Saliently, the system can even undergo a wave condensation process when its initial state has a sufficiently low total quasi-energy. These predictions could be tested in nonlinear optical experiments or with ultracold atoms.

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“…Analogous observations have been made in disordered nonlinear Schrödinger chains, see e.g. [57][58][59][60][61][62].…”

supporting

confidence: 62%

“…For time-independent systems, a kinetic equation for f ε (t) can be derived under certain approximations [1,62,68],…”

mentioning

confidence: 99%

Prethermalization and wave condensation in a nonlinear disordered Floquet system

Haldar,

Mu,

Georgeot

et al. 2021

Preprint

View full text Add to dashboard Cite

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“…It helps us to rule out that the temperature oscillation is due to fluctuations in small systems. As a matter of fact, the temperature oscillation that increases with period length is a result of phonon localization which will be further discussed later [40].…”

Section: Resultsmentioning

confidence: 95%

Temperature oscillation in one-dimensional superlattice induced by phonon localization

Zhong

2022

New J. Phys.

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Thermal transport properties and thermodynamic quantities often present anomalous behaviors in low-dimensional systems. In this paper, we find that temperature oscillates spatially in one dimensional harmonic and weakly anharmonic superlattice. With the increase of anharmonicity, the temperature oscillation gradually disappears and a normal temperature gradient forms. Further analysis reveals that the formation of temperature oscillation is due to the localization of high frequency phonons which cannot be thermalized. Moreover, the localized modes interact weakly with heat reservoirs, thus, their contributions to local temperature remain negligible while varying the temperatures of heat reservoirs. The oscillated temperature profile is in a good agreement with Visscher's formula. These discoveries of temperature oscillation phenomenon have great potential in applications of phononic devices for heat manipulation.

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“…Whether a many-body disordered system can be thermalized is a question that has remained unanswered for a long time ( Wang et al, 2020 ). We show here that any coherent transport regime, integrated into a discrete disordered structure, produces two distinct broadband localization effects similar to Anderson’s localization but contrary to the case of non-interacting electrons ( Lyra et al, 2015 ), strong localization occurs at the zone edge for high and low energies.…”

Section: Discussionmentioning

confidence: 99%

Energy Bilocalization Effect and the Emergence of Molecular Functions in Proteins

Chalopin

Sparfel

2021

Front. Mol. Biosci.

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Proteins are among the most complex molecular structures, which have evolved to develop broad functions, such as energy conversion and transport, information storage and processing, communication, and regulation of chemical reactions. However, the mechanisms by which these dynamical entities coordinate themselves to perform biological tasks remain hotly debated. Here, a physical theory is presented to explain how functional dynamical behavior possibly emerge in complex/macro molecules, thanks to the effect that we term bilocalization of thermal vibrations. More specifically, our approach allows us to understand how structural irregularities lead to a partitioning of the energy of the vibrations into two distinct sets of molecular domains, corresponding to slow and fast motions. This shape-encoded spectral allocation, associated to the genetic sequence, provides a close access to a wide reservoir of dynamical patterns, and eventually allows the emergence of biological functions by natural selection. To illustrate our approach, the SPIKE protein structure of SARS-COV2 is considered.

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Wave-Turbulence Origin of the Instability of Anderson Localization against Many-Body Interactions

Cited by 36 publications

References 41 publications

Prethermalization and wave condensation in a nonlinear disordered Floquet system

Prethermalization and wave condensation in a nonlinear disordered Floquet system

Temperature oscillation in one-dimensional superlattice induced by phonon localization

Energy Bilocalization Effect and the Emergence of Molecular Functions in Proteins

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