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Title: Matter-wave propagation in optical lattices: geometrical and flat-band effects

Here we report that the geometry of optical lattices can be engineered allowing the study of atomic transport along paths arranged in patterns that are otherwise difficult to probe in the solid state. A question feasible to atomic systems is related to the speed of propagation of matter-waves as a function of the lattice geometry. To address this issue, we have investigated theoretically the quantum transport of non-interacting and weakly-interacting ultracold fermionic atoms in several 2D optical lattice geometries. We find that the triangular lattice has a higher propagation velocity compared to the square lattice, and the cross-linked square lattice has an even faster propagation velocity. The increase results from the mixing of the momentum states which leads to different group velocities in quantum systems. Standard band theory provides an explanation and allows for a systematic way to search and design systems with controllable matter-wave propagation. Moreover, the presence of a flat band such as in a two-leg ladder geometry leads to a dynamical density discontinuity due to its localized atoms. Lastly, we discuss possible realizations of those dynamical phenomena.
 [1] ;  [2] ;  [3] ;  [1]
  1. Univ. of California, Merced, CA (United States).School of Natural Sciences
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division and Center for Nonlinear Science
  3. Univ. of California San Diego, La Jolla, CA (United States). Dept. of Physics
Publication Date:
Report Number(s):
Journal ID: ISSN 0953-4075; 1361-6455 (Electronic)
Grant/Contract Number:
AC52-06NA25396; FG02-05ER46204; LANL/LDRD
Accepted Manuscript
Journal Name:
Journal of Physics. B, Atomic, Molecular and Optical Physics
Additional Journal Information:
Journal Volume: 49; Journal Issue: 7; Journal ID: ISSN 0953-4075
IOP Publishing
Research Org:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org:
Country of Publication:
United States
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; optical lattice; atomic transport; nuclear physics
OSTI Identifier:
Alternate Identifier(s):
OSTI ID: 1242316