Expansion Dynamics in the One-Dimensional Fermi-Hubbard Model

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openAccess

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Journal Title

Journal ISSN

Volume Title

A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

Date

2011-05-20

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Mcode

Degree programme

Language

en

Pages

4
1-4

Series

PHYSICAL REVIEW LETTERS, Volume 106, issue 20

Abstract

Expansion dynamics of interacting fermions in a lattice is 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 nonpaired 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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Keywords

Hubbard, ultracold gases, unitary evolution

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Citation

Kajala , J , Massel , F & Törmä , P 2011 , ' Expansion Dynamics in the One-Dimensional Fermi-Hubbard Model ' , Physical Review Letters , vol. 106 , no. 20 , 206401 , pp. 1-4 . https://doi.org/10.1103/PhysRevLett.106.206401