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arXiv · 2406.00167

Conformal invariance in out-of-equilibrium Bose-Einstein condensates governed by the Gross-Pitaevskii Equation

J. Amette Estrada·M. Noseda·P. J. Cobelli·P. D. Mininni
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Abstract

We study density isolines in quantum turbulence under the Schramm-Loewner framework using direct numerical simulations of the truncated Gross-Pitaevskii equation, in both spherical and cylindrical traps with three-dimensional dynamics. Density isolines develop increasing complexity as turbulence matures. As the systems evolves towards a thermalized regime, it spontaneously develops conformal invariance. In contrast to other systems exhibiting conformal invariance, this system manifests it during the transition towards disorder rather than to self-organization. We discuss a link between this behavior in quantum turbulence and other 4-wave interacting systems.

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J. Amette Estrada, M. Noseda, P. J. Cobelli, P. D. Mininni. 2024-05-31. Conformal invariance in out-of-equilibrium Bose-Einstein condensates governed by the Gross-Pitaevskii Equation. https://doi.org/10.1103/physreva.109.l061302

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