Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2009-10-29
Phys. Rev. B 81, 115131 (2010)
Physics
Condensed Matter
Strongly Correlated Electrons
18 pages, 10 figures
Scientific paper
10.1103/PhysRevB.81.115131
We use non-equilibrium dynamical mean-field theory in combination with a recently developed Quantum Monte Carlo impurity solver to study the real-time dynamics of a Hubbard model which is driven out of equilibrium by a sudden increase in the on-site repulsion U. We discuss the implementation of the self-consistency procedure and some important technical improvements of the QMC method. The exact numerical solution is compared to iterated perturbation theory, which is found to produce accurate results only for weak interaction or short times. Furthermore we calculate the spectral functions and the optical conductivity from a Fourier transform on the finite Keldysh contour, for which the numerically accessible timescales allow to resolve the formation of Hubbard bands and a gap in the strongly interacting regime. The spectral function, and all one-particle quantities that can be calculated from it, thermalize rapidly at the transition between qualitatively different weak- and strong-coupling relaxation regimes.
Eckstein Martin
Kollar Marcus
Werner Philipp
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