# Heidelberg 2015 – wissenschaftliches Programm

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# Q: Fachverband Quantenoptik und Photonik

## Q 15: Poster: Quantum Optics and Photonics I

### Q 15.12: Poster

### Montag, 23. März 2015, 17:00–19:00, C/Foyer

**Universal self-similar dynamics of relativistic and non-relativistic field theories near non-thermal fixed points** — •Asier Piñeiro Orioli^{1}, Kirill Boguslavski^{1}, and Jürgen Berges^{1,2} — ^{1}Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, 69120 Heidelberg, Germany — ^{2}ExtreMe Matter Institute EMMI, Planckstraße 1, 64291 Darmstadt, Germany

The dynamics of quantum fields far from equilibrium play an important role in systems ranging from early universe cosmology and relativistic heavy-ion collisions to ultra cold quantum gases. Strikingly, universal features emerge during the respective thermalisation processes. This universality is based on the existence of non-thermal fixed points, which are attractor solutions characterised by turbulence and self-similar time evolution. In this talk we will show that the (massless) relativistic and the non-relativistic (Gross-Pitaevskii) scalar field theory belong to the same universality class in the infrared. We compute the scaling exponents and scaling functions in this non-perturbative regime in two ways: first by performing classical statistical lattice simulations and second by using the resummed 2PI 1/*N* expansion to NLO.