First-principles quantum dynamics for fermions: Application to molecular dissociation
ARC Centre of Excellence for Quantum-Atom Optics, School of Mathematics and Physics, University of Queensland Brisbane, Queensland 4072, Australia
Accepted: 20 October 2010
We demonstrate that the quantum dynamics of a many-body Fermi-Bose system can be simulated using a Gaussian phase-space representation method. In particular, we consider the application of the mixed fermion-boson model to ultracold quantum gases and simulate the dynamics of dissociation of a Bose-Einstein condensate of bosonic dimers into pairs of fermionic atoms. We quantify deviations of atom-atom pair correlations from Wick's factorization scheme, and show that atom-molecule and molecule-molecule correlations grow with time, in clear departures from pairing mean-field theories. As a first-principles approach, the method provides benchmarking of approximate approaches and can be used to validate dynamical probes for characterizing strongly correlated phases of fermionic systems.
PACS: 67.85.Pq – Mixtures of Bose and Fermi gases / 03.75.Kk – Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow / 05.10.Gg – Stochastic analysis methods (Fokker-Planck, Langevin, etc.)
© EPLA, 2010