Critical non-thermal fixed point and the dynamical condensation phase transition

• URL: http://arxiv.org/abs/2607.26620v1
• Date: Wed, 29 Jul 2026 08:48:15 GMT
• Title: Critical non-thermal fixed point and the dynamical condensation phase transition
• Abstract summary: We develop a unified description of the far-from-equilibrium dynamics of three-dimensional Bose gases.<n>We show that the equilibrium simultaneously acts as a critical dynamical point.<n> Quenches directly to the condensation threshold are controlled by a previously unidentified critical fixed point.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Using a non-perturbative quantum kinetic framework, we develop a unified description of the far-from-equilibrium dynamics of three-dimensional Bose gases following cooling quenches across the Bose-Einstein condensation transition. By tracking the spatio-temporal evolution of the momentum distribution, we show that the equilibrium condensation threshold simultaneously acts as a dynamical critical point, separating distinct far-from-equilibrium universality classes governed by different non-equilibrium attractors. While quenches above the transition exhibit a single-timescale relaxation toward a thermal fixed point, quenches below the transition display a crossover from a transient weak-turbulence regime to a coarsening fixed point governed by the diffusive recombination of vortex lines. Quenches directly to the condensation threshold, finally, are controlled by a previously unidentified critical fixed point characterized by the superdiffusive spreading of critical fluctuations and a distinct set of dynamical exponents. Together, these dynamical scaling laws establish a far-from-equilibrium counterpart of the condensation phase transition, in which the equilibrium critical point also organizes the long-time non-equilibrium dynamics.

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