Efimov physics is characterized by discrete scale invariance and log-periodic observables. It emerges when an underlying continuous scale invariance is broken. While spatial Efimov physics has been extensively studied, realizing an analogous phenomenon associated with temporal scale invariance remains challenging because it requires a dynamical system that breaks time-translation symmetry while retaining time-scaling structure. Analog cosmology offers a powerful platform to address this challenge, bridging the domains of Efimov physics and cosmology. Here, we predict a temporal Efimov-like effect in an analog linearly expanding universe realized with a quasitwo-dimensional Bose-Einstein condensate. The invariance of phonon mode equations under time-scaling leads to particle production with two distinct dynamics: power-law growth and log-periodic oscillations, with the latter being the hallmark signature of Efimov-like discrete scale invariance. Furthermore, these dynamics map directly onto sub- and superhorizon cosmological modes. Our predictions can be tested through time-averaged measurements of the density-fluctuation spectrum $S_k\left(t\right)$ in current experiments.

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• Efimov states
• Fluid-gravity correspondence
• Particle production
• Quantum fields in curved spacetime
• Quantum simulation
• Quasiparticles & collective excitations
• Bose-Einstein condensates