# Finite-size scaling in the quantum phase transition of the open-system Dicke-model

## Gábor Kónya

### (MTA Wigner RCP SZFI)

Time: Tue Oct 9 13:00:00 2012

Location: Building 1, Room 114, Auditorium

Laser-driven Bose-Einstein condensate of ultracold atoms loaded into a lossy high-finesse optical resonator exhibits critical behavior and, in the thermodynamic limit, a phase transition between stationary states of different symmetries. The system realizes an open-system variant of the celebrated Dicke-model. We study the transition for a finite number of atoms by means of a Hartree-Fock-Bogoliubov method adapted to a damped-driven open system. The finite-size scaling exponents are determined and a clear distinction between the non-equilibrium and the equilibrium quantum criticality is found.