Heidelberg 2015 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 36: Quantum Gases: Bosons V

Q 36.4: Talk

Wednesday, March 25, 2015, 11:45–12:00, P/H2

New scaling relation for far-from-equilibrium Bose gases and Kolmogorov scaling — Thomas Gasenzer, •Steven Mathey, and Jan M. Pawlowski — ITP, Heidelberg, Germany

Classical hydrodynamic turbulence is related to super-fluid turbulence by means of the density and phase decomposition of the Bose gas wave function. Steady-state, scale-invariant, classical turbulence is invariant under Galilei transformations. This results in a well-known scaling relation for two-point correlation functions. Relating this to super-fluid turbulence, a new scaling relation emerges for far-from-equilibrium quantum gases at a non-thermal fixed point. Combined with strong wave turbulence, this is shown to lead to a kinetic energy spectrum with the Kolmogorov 5/3 exponent and an anomalous correction.