year | 2024 |
author(s) | Ido Siovitz, Stefan Lannig, Yannick Deller, Helmut Strobel, Markus K. Oberthaler, Thomas Gasenzer |
title | Universal dynamics of rogue waves in a quenched spinor Bose condensate |
KIP-Nummer | HD-KIP 24-42 |
KIP-Gruppe(n) | F17,F20,F27 |
document type | Paper |
doi | https://doi.org/10.1103/PhysRevLett.131.183402 |
Abstract (en) | Isolated many-body systems far from equilibrium may exhibit scaling dynamics with universal exponents indicating the proximity of the time-evolution to a non-thermal fixed point. We find universal dynamics connected with the occurrence of extreme wave excitations in the mutually coupled magnetic components of a spinor gas which propagate in an effectively random potential. The frequency of these rogue waves is affected by the time-varying spatial correlation length of the potential, giving rise to an additional exponent δc?1/3 for temporal scaling, which is different from the exponent βV?1/4 characterizing the scaling of the correlation length lV∼tβV in time. As a result of the caustics, i.e., focusing events, real-time instanton defects appear in the Larmor phase of the spin-1 system as vortices in space and time. The temporal correlations governing the instanton occurrence frequency scale as tδI. This suggests that the universality class of a non-thermal fixed point could be characterized by different, mutually related exponents defining the evolution in time and space, respectively. Our results have a strong relevance for understanding pattern coarsening from first principles and potential implications for dynamics ranging from the early universe to geophysical dynamics and micro physics. |
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