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arXiv · 2606.23822

Quantum turbulence in the many-body regime

Sayak Bhattacharjee·Mahendra K. Verma·Alexander V. Balatsky·Srinivas Raghu
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Abstract

We discuss phenomenology associated with turbulent hydrodynamics in quantum fluids from a condensed-matter perspective. We begin with weakly-interacting superfluids, often modeled by a mean-field theory governed by the Gross-Pitaevskii equation. Considering the effect of quantum fluctuations beyond the mean-field approximation, we propose a study of many-body quantum effects in turbulent hydrodynamics, especially near zero temperature. We motivate examples of quantum many-body systems where such effects may be uncovered. These include bosons confined in a periodic potential in low spatial dimensions (one and two), and the associated quantum critical point of the superfluid-insulator transition, realized in present-day ultracold-atom and quantum computing platforms. We conclude by listing a set of (open) questions that may be answered using modern quantum many-body techniques. This article is part of the theme issue 'Frontiers of turbulence and statistical physics'.

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Sayak Bhattacharjee, Mahendra K. Verma, Alexander V. Balatsky, Srinivas Raghu. 2026-06-22. Quantum turbulence in the many-body regime. https://arxiv.org/abs/2606.23822

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