Far-from-equilibrium dynamics of an ultracold Fermi gas

Details Far-from-equilibrium dynamics of an ultracold Fermi gas Far-from-equilibrium dynamics of an ultracold Fermi gas

2010-12-17

arxiv.org/abs/1012.3874v1

Appl. Phys. B 102, 469--488 (2011)

Physics

Condensed Matter

Quantum Gases

20 pages, 11 figures

Scientific paper

10.1007/s00340-011-4426-2

Nonequilibrium dynamics of an N-fold spin-degenerate ultracold Fermi gas is described in terms of beyond-mean-field Kadanoff-Baym equations for correlation functions. Using a nonperturbative expansion in powers of 1/N, the equations are derived from the two-particle irreducible effective action in Schwinger-Keldysh formulation. The definition of the nonperturbative approximation on the level of the effective action ensures vital conservation laws as, e.g., for the total energy and particle number. As an example, the long-time evolution of a homogeneous, twofold spin-degenerate Fermi gas is studied in one spatial dimension after an initial preparation far from thermal equilibrium. Analysis of the fluctuation-dissipation relation shows that, at low energies, the gas does not thermalise.

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