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Main Authors: Sharell, Uri, Enss, Tilman
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2605.28606
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author Sharell, Uri
Enss, Tilman
author_facet Sharell, Uri
Enss, Tilman
contents Quantum gases with short-range attractive interaction have a tendency to form pairs. For time-dependent interaction we find that the pairing amplitude at small separation satisfies a fractional differential equation (FDE). We derive analytic solutions of the pairing evolution for sudden interaction quenches and power-law drives toward resonant scattering. We observe universal short-time dynamics governed by a conformal fixed point at which the momentum distribution exhibits nonthermal, self-similar scaling in time, in quantitative agreement with experiment. At longer times, many-body effects induce relaxation toward an equilibrium state. In this limit, the FDE turns into a Müller-Israel-Stewart type equation that describes a hydrodynamic attractor approaching equilibrium.
format Preprint
id arxiv_https___arxiv_org_abs_2605_28606
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Fractional short-time dynamics in driven quantum gases
Sharell, Uri
Enss, Tilman
Quantum Gases
Nuclear Theory
Quantum gases with short-range attractive interaction have a tendency to form pairs. For time-dependent interaction we find that the pairing amplitude at small separation satisfies a fractional differential equation (FDE). We derive analytic solutions of the pairing evolution for sudden interaction quenches and power-law drives toward resonant scattering. We observe universal short-time dynamics governed by a conformal fixed point at which the momentum distribution exhibits nonthermal, self-similar scaling in time, in quantitative agreement with experiment. At longer times, many-body effects induce relaxation toward an equilibrium state. In this limit, the FDE turns into a Müller-Israel-Stewart type equation that describes a hydrodynamic attractor approaching equilibrium.
title Fractional short-time dynamics in driven quantum gases
topic Quantum Gases
Nuclear Theory
url https://arxiv.org/abs/2605.28606