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arXiv · 2408.15163

Turbulence and far-from-equilibrium equation of state of Bogoliubov waves in Bose-Einstein Condensates

Ying Zhu·Giorgio Krstulovic·Sergey Nazarenko
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Abstract

Bogoliubov waves are fundamental excitations of Bose-Einstein Condensates (BECs). They emerge from a perturbed ground state and interact nonlinearly, triggering turbulent cascades. Here, we study turbulent BECs theoretically and numerically using the 3D Gross-Pitaevskii model and its associated wave-kinetic equations. We derive a new Kolmogorov-like stationary spectrum for short Bogoliubov waves and find a complete analytical expression for the spectrum in the long-wave acoustic regime. We then use our predictions to explain the BEC equation of state reported by Dogra et al. (Nature 620, 521, 2023), and to suggest new experimental settings.

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Ying Zhu, Giorgio Krstulovic, Sergey Nazarenko. 2024-08-27. Turbulence and far-from-equilibrium equation of state of Bogoliubov waves in Bose-Einstein Condensates. https://arxiv.org/abs/2408.15163

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