Fractional short-time dynamics in driven quantum gases
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917540598382592 |
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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 |