Efimovian Phonon Production for an Analog Coasting Universe in Bose-Einstein Condensates

• URL: http://arxiv.org/abs/2603.16095v1
• Date: Tue, 17 Mar 2026 03:34:41 GMT
• Title: Efimovian Phonon Production for an Analog Coasting Universe in Bose-Einstein Condensates
• Abstract summary: Efimov effects arise from scale invariance, a fundamental symmetry with universal implications.<n>Here, we predict a temporal Efimov effect in an analog linearly expanding universe realized with a quasi-two-dimensional Bose-Einstein condensate.
• Score: 7.562989095788748
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Efimov effects arise from scale invariance, a fundamental symmetry with universal implications. While spatial Efimov physics has been extensively studied, realizing its temporal counterpart remains challenging, as it requires a dynamical system that breaks time-translation symmetry yet preserves the essential time-scaling symmetry. Analog cosmology offers a powerful platform to address this challenge, bridging the domains of Efimov physics and cosmology. Here, we predict a temporal Efimov effect in an analog linearly expanding universe realized with a quasi-two-dimensional Bose-Einstein condensate. The invariance of phonon mode equations under time rescaling leads to particle production with two distinct dynamics: power-law growth and log-periodic oscillations, with the latter being the hallmark signature of the Efimov effect. Furthermore, these dynamics map directly onto sub- and super-horizon cosmological modes. Our predictions can be directly verified through time-averaged measurements of the density-fluctuation spectrum $S_{k}(t)$ in current experiments.

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