Work

Exponential localization in one-dimensional quasi-periodic optical lattices

Year: 2009

Type: article

Abstract: We investigate the localization properties of a one-dimensional bichromatic optical lattice in the tight-binding regime, by discussing how exponentially localized states emerge upon changing the degree of commensurability. We also review the mapping onto the discrete Aubry–André model, and provide evidence on how the momentum distribution gets modified in the crossover from extended to exponentially localized states. This analysis is relevant to the recent experiment on the Anderson localization of a noninteracting Bose–Einstein condensate in a quasi-periodic optical lattice (Roati et al 2008 Nature 453 895).

Source: New Journal of Physics

DOI: 10.1088/1367-2630/11/3/033023

Author: Michele Modugno

Institutions: European Laboratory for Non-Linear Spectroscopy, Istituto Nazionale di Fisica Nucleare, University of Florence

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,610

OpenAlex ID: W1974878883

FWCI: 14.65

Cites: 27

Cited by: 219

Related to: 10