Sudden interaction quench in the quantum sine-Gordon model

Details Sudden interaction quench in the quantum sine-Gordon model Sudden interaction quench in the quantum sine-Gordon model

2009-11-06

arxiv.org/abs/0911.1302v2

2010 New J. Phys. 12 055008

Physics

Condensed Matter

Quantum Gases

18 pages, 4 figures, published in New Journal of Physics

Scientific paper

10.1088/1367-2630/12/5/055008

We study a sudden interaction quench in the weak-coupling regime of the quantum sine-Gordon model. The real time dynamics of the bosonic mode occupation numbers is calculated using the flow equation method. While we cannot prove results for the asymptotic long time limit, we can establish the existence of an extended regime in time where the mode occupation numbers relax to twice their equilibrium values. This factor two indicates a non-equilibrium distribution and is a universal feature of weak interaction quenches. The weak-coupling quantum sine-Gordon model therefore turns out to be on the borderline between thermalization and non-thermalization.

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