Non-equilibrium time evolution of bosons from the functional renormalization group

Details Non-equilibrium time evolution of bosons from the functional renormalization group Non-equilibrium time evolution of bosons from the functional renormalization group

2010-11-22

arxiv.org/abs/1011.4943v3

Phys. Rev. B83:205118,2011

Physics

Condensed Matter

Statistical Mechanics

28 pages, 8 figures, final version

Scientific paper

10.1103/PhysRevB.83.205118

We develop a functional renormalization group approach to obtain the time evolution of the momentum distribution function of interacting bosons out of equilibrium. Using an external out-scattering rate as flow parameter, we derive formally exact renormalization group flow equations for the non-equilibrium self-energies in the Keldysh basis. A simple perturbative truncation of these flow equations leads to an approximate solution of the quantum Boltzmann equation which does not suffer from secular terms and gives accurate results even for long times. We demonstrate this explicitly within a simple exactly solvable toy model describing a quartic oscillator with off-diagonal pairing terms.

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