First-principles quantum dynamics for fermions: Application to molecular dissociation

Abstract

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.

Final published version

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• Phase space methods for Majorana fermions
• Linear entropy in quantum phase space
• On the Dynamics of the Fermi-Bose Model
• Simulations of quantum dynamics with fermionic phase-space representations using numerical matrix factorizations as stochastic gauges
• Correlated quantum dynamics of graphene