Expansion dynamics in the one-dimensional Fermi-Hubbard model

Details Expansion dynamics in the one-dimensional Fermi-Hubbard model Expansion dynamics in the one-dimensional Fermi-Hubbard model

2011-01-31

arxiv.org/abs/1101.6025v2

Phys. Rev. Lett. 106, 206401 (2011)

Physics

Condensed Matter

Quantum Gases

Fig. 9 changed, text + supplementary material revised

Scientific paper

10.1103/PhysRevLett.106.206401

Expansion dynamics of interacting fermions in a lattice are simulated within the one-dimensional (1D) Hubbard model, using the essentially exact time-evolving block decimation (TEBD) method. In particular, the expansion of an initial band-insulator state is considered. We analyze the simulation results based on the dynamics of a two-site two-particle system, the so-called Hubbard dimer. Our findings describe essential features of a recent experiment on the expansion of a Fermi gas in a two-dimensional lattice. We show that the Hubbard-dimer dynamics, combined with a two-fluid model for the paired and non-paired components of the gas, gives an efficient description of the full dynamics. This should be useful for describing dynamical phenomena of strongly interacting Fermions in a lattice in general.

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