Strongly anomalous non-thermal fixed point in a quenched two-dimensional Bose gas

Universal scaling behavior in the relaxation dynamics of an isolated two-dimensional Bose gas is studied by means of semi-classical stochastic simulations of the Gross-Pitaevskii model. The system is quenched far out of equilibrium by imprinting vortex defects into an otherwise phase-coherent conden...

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Main Authors: Karl, Markus (Author) , Gasenzer, Thomas (Author)
Format: Article (Journal)
Language:English
Published: 2017
In: New journal of physics
Year: 2017, Volume: 19, Issue: 9
ISSN:1367-2630
DOI:10.1088/1367-2630/aa7eeb
Online Access:Verlag, kostenfrei, Volltext: http://dx.doi.org/10.1088/1367-2630/aa7eeb
Verlag, kostenfrei, Volltext: http://stacks.iop.org/1367-2630/19/i=9/a=093014
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Author Notes:Markus Karl, Thomas Gasenzer

MARC

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520 |a Universal scaling behavior in the relaxation dynamics of an isolated two-dimensional Bose gas is studied by means of semi-classical stochastic simulations of the Gross-Pitaevskii model. The system is quenched far out of equilibrium by imprinting vortex defects into an otherwise phase-coherent condensate. A strongly anomalous non-thermal fixed point is identified, associated with a slowed decay of the defects in the case that the dissipative coupling to the thermal background noise is suppressed. At this fixed point, a large anomalous exponent ##IMG## [http://ej.iop.org/images/1367-2630/19/9/093014/njpaa7eebieqn1.gif] $\eta \simeq -3$ and, related to this, a large dynamical exponent ##IMG## [http://ej.iop.org/images/1367-2630/19/9/093014/njpaa7eebieqn2.gif] $z\simeq 5$ are identified. The corresponding power-law decay is found to be consistent with three-vortex-collision induced loss. The article discusses these aspects of non-thermal fixed points in the context of phase-ordering kinetics and coarsening dynamics, thus relating phenomenological and analytical approaches to classifying far-from-equilibrium scaling dynamics with each other. In particular, a close connection between the anomalous scaling exponent η , introduced in a quantum-field theoretic approach, and conservation-law induced scaling in classical phase-ordering kinetics is revealed. Moreover, the relation to superfluid turbulence as well as to driven stationary systems is discussed. 
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