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Main Authors: Estrada, J. Amette, Noseda, M., Cobelli, P. J., Mininni, P. D.
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2406.00167
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author Estrada, J. Amette
Noseda, M.
Cobelli, P. J.
Mininni, P. D.
author_facet Estrada, J. Amette
Noseda, M.
Cobelli, P. J.
Mininni, P. D.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2406_00167
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Conformal invariance in out-of-equilibrium Bose-Einstein condensates governed by the Gross-Pitaevskii Equation
Estrada, J. Amette
Noseda, M.
Cobelli, P. J.
Mininni, P. D.
Quantum Gases
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.
title Conformal invariance in out-of-equilibrium Bose-Einstein condensates governed by the Gross-Pitaevskii Equation
topic Quantum Gases
url https://arxiv.org/abs/2406.00167