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

Metcalf, Mekena; Chern, Gia-Wei; Di Ventra, Massimiliano; Chien, Chih-Chun

doi:10.1088/0953-4075/49/7/075301

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

Journal Article · Thu Mar 17 00:00:00 EDT 2016 · Journal of Physics. B, Atomic, Molecular and Optical Physics

DOI:https://doi.org/10.1088/0953-4075/49/7/075301· OSTI ID:1329569

Metcalf, Mekena ^[1]; Chern, Gia-Wei ^[2]; Di Ventra, Massimiliano ^[3]; Chien, Chih-Chun ^[1]

Univ. of California, Merced, CA (United States).School of Natural Sciences
Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division and Center for Nonlinear Science
Univ. of California San Diego, La Jolla, CA (United States). Dept. of Physics

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 readily accessible 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, despite supporting longer paths. The body-centered square lattice has even longer paths, nonetheless the propagation velocity is yet faster. This apparent paradox arises 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, which contrasts the behavior of mobile and localized atoms in quantum transport. Our predictions are realizable with present experimental capability.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC); USDOE Laboratory Directed Research and Development (LDRD) Program

Grant/Contract Number:: AC52-06NA25396; FG02-05ER46204; AC02-05CH11231

OSTI ID:: 1329569

Alternate ID(s):: OSTI ID: 1242316; OSTI ID: 1581220

Report Number(s):: LA-UR-15-21107; 1361-6455 (Electronic)

Journal Information:: Journal of Physics. B, Atomic, Molecular and Optical Physics, Vol. 49, Issue 7; ISSN 0953-4075

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 5 works

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