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arXiv · 1203.3651

Nonthermal fixed points and solitons in a one-dimensional Bose gas

Maximilian Schmidt·Sebastian Erne·Boris Nowak·Dénes Sexty·Thomas Gasenzer
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Abstract

Single-particle momentum spectra for a dynamically evolving one-dimensional Bose gas are analysed in the semi-classical wave limit. Representing one of the simplest correlation functions these give information about possible universal scaling behaviour. Motivated by the previously discovered connection between (quasi-)topological field configurations, strong wave turbulence, and nonthermal fixed points of quantum field dynamics, soliton formation is studied with respect to the appearance of transient power-law spectra. A random-soliton model is developed to describe the spectra analytically, and the analogies and difference between the appearing power laws and those found in a field theory approach to strong wave turbulence are discussed. The results open a view on solitary wave dynamics from the point of view of critical phenomena far from thermal equilibrium and on a possibility to study this dynamics in experiment without the necessity of detecting solitons in situ.

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Maximilian Schmidt, Sebastian Erne, Boris Nowak, Dénes Sexty, Thomas Gasenzer. 2012-03-16. Nonthermal fixed points and solitons in a one-dimensional Bose gas. https://doi.org/10.1088/1367-2630%2F14%2F7%2F075005

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