Strong and weak wave turbulence regimes in Bose-Einstein condensates

Fuente: arXiv
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Autori principali: Zhu, Ying, Krstulovic, Giorgio, Nazarenko, Sergey
Natura: Preprint
Pubblicazione: 2024
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author Zhu, Ying
Krstulovic, Giorgio
Nazarenko, Sergey
author_facet Zhu, Ying
Krstulovic, Giorgio
Nazarenko, Sergey
contents When a turbulent Bose-Einstein condensate is driven out-of-equilibrium at a scale much smaller than the system size, nonlinear wave interactions transfer particles towards large scales in an inverse cascade process. In this work, we study numerically wave turbulence in a three-dimensional Bose-Einstein condensate in forced and dissipated inverse cascade settings. We observe that when the forcing rate increases, thereby increasing the particle flux, the turbulence spectrum gradually transitions from the weak-wave Kolmogorov-Zakharov cascade to a critical balance state characterized by a range of scales with balanced linear and nonlinear dynamic timescales. Further forcing increases lead to a coherent condensate component superimposed with Bogoliubov-type acoustic turbulence. The role of vortices in such a strongly forced state is marginal, which makes this new state very different from the strongly turbulent state composed of a tangle of quantized vortex lines. We then use our predictions and numerical data to formulate a new out-of-equilibrium equation of state for the 3D inverse cascade.
format Preprint
id arxiv_https___arxiv_org_abs_2411_19812
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Strong and weak wave turbulence regimes in Bose-Einstein condensates
Zhu, Ying
Krstulovic, Giorgio
Nazarenko, Sergey
Quantum Gases
Other Condensed Matter
When a turbulent Bose-Einstein condensate is driven out-of-equilibrium at a scale much smaller than the system size, nonlinear wave interactions transfer particles towards large scales in an inverse cascade process. In this work, we study numerically wave turbulence in a three-dimensional Bose-Einstein condensate in forced and dissipated inverse cascade settings. We observe that when the forcing rate increases, thereby increasing the particle flux, the turbulence spectrum gradually transitions from the weak-wave Kolmogorov-Zakharov cascade to a critical balance state characterized by a range of scales with balanced linear and nonlinear dynamic timescales. Further forcing increases lead to a coherent condensate component superimposed with Bogoliubov-type acoustic turbulence. The role of vortices in such a strongly forced state is marginal, which makes this new state very different from the strongly turbulent state composed of a tangle of quantized vortex lines. We then use our predictions and numerical data to formulate a new out-of-equilibrium equation of state for the 3D inverse cascade.
title Strong and weak wave turbulence regimes in Bose-Einstein condensates
topic Quantum Gases
Other Condensed Matter
url https://arxiv.org/abs/2411.19812