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During its dynamical evolution far from equilibrium a many-body system
can reach a non-thermal fixed point. The general concept of such
non-thermal fixed points is discussed for various configurations of
ultracold Bose gases. It is demonstrated that the fixed points, at which
the system exhibits universal properties, can be be closely related to
(quasi)topological excitations and superfluid turbulence. Our results
provide a long-sought link between weak wave turbulence and (strong)
quantum turbulence phenomena. The dynamics following an initial quench
will be shown to be affected by a non-thermal fixed point in a generic
way. This has observable consequences for Kibble-Zurek-type protocols,
the formation of a Bose-Einstein condensate in a three-dimensional gas,
or soliton gases forming in one spatial dimension. For spinor gases the
non-thermal fixed points are demonstrated to correspond to more general
pattern formation processes.
References: C. Scheppach, J. Berges, TG, 0912.4183 [cond-mat.quant-gas],
Phys. Rev. A 81: 033611, 2010B. Nowak, D. Sexty, TG, 1012.4437 [cond-mat.quant-gas],
Phys. Rev. B 84: 020506(R), 2011TG, B. Nowak, D. Sexty, 1108.0541 [hep-ph],
Phys. Lett. B 710: 500, 2012B. Nowak, J. Schole, D. Sexty, and TG, 1111.6127 [cond-mat.quant-gas],
Phys. Rev. A 85: 043627, 2012M. Schmidt, S. Erne, B. Nowak, D. Sexty, TG,
1203.3651 [cond-mat.quant-gas], New J. Phys. 14: 075005, 2012J. Schole, B. Nowak, TG, 1204.2487 [cond-mat.quant-gas],
Phys. Rev. A, in press.B. Nowak, TG,
1206.3181 [cond-mat.quant-gas]
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