Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
Expansion Dynamics in the One-Dimensional Fermi-Hubbard Model J. Kajala,1
 

Summary: Expansion Dynamics in the One-Dimensional Fermi-Hubbard Model
J. Kajala,1
F. Massel,2
and P. ToĻrmaĻ1,3,*
1
Department of Applied Physics, Aalto University School of Science, Post Office Box 15100, FI-00076 Aalto, Finland
2
Low Temperature Laboratory, Aalto University, Post Office Box 15100, FI-00076 Aalto, Finland
3
Kavli Institute for Theoretical Physics, University of California, Santa Barbara, California 93106-4030, USA
(Received 31 January 2011; published 16 May 2011)
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 particu-
lar, 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.
DOI: 10.1103/PhysRevLett.106.206401 PACS numbers: 71.10.Fd, 03.75.Ss, 73.20.Mf

  

Source: Ahlers, Guenter - Department of Physics, University of California at Santa Barbara

 

Collections: Physics