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Title: Dynamical instability and dispersion management of an attractive condensate in an optical lattice

Abstract

We investigate the stability of an attractive Bose-Einstein condensate in a one-dimensional lattice in the presence of radial confinement. We find that the system is dynamically unstable for low quasimomenta and becomes stable near the band edge, in a specular fashion with respect to the repulsive case. For low interactions the instability occurs via long-wavelength excitations that produce an oscillating density pattern in both real and momentum space instead of spoiling the condensate coherence. This behavior is illustrated by simulations for the expansion of the condensate in a moving lattice.

Authors:
 [1];  [2]
  1. LENS and Dipartimento di Fisica, Universita di Firenze via Nello Carrara 1, I-50019 Sesto Fiorentino (Italy)
  2. LENS, Dipartimento di Matematica Applicata, Universita di Firenze and INFN (Italy)
Publication Date:
OSTI Identifier:
21020639
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 76; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevA.76.041601; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOSE-EINSTEIN CONDENSATION; CONDENSATES; CONFINEMENT; DENSITY; EXCITATION; EXPANSION; INSTABILITY; INTERACTIONS; ONE-DIMENSIONAL CALCULATIONS; SIMULATION; STABILITY; WAVELENGTHS

Citation Formats

Barontini, G, Modugno, M, and BEC-INFM Center, Universita di Trento, I-38050 Povo. Dynamical instability and dispersion management of an attractive condensate in an optical lattice. United States: N. p., 2007. Web. doi:10.1103/PHYSREVA.76.041601.
Barontini, G, Modugno, M, & BEC-INFM Center, Universita di Trento, I-38050 Povo. Dynamical instability and dispersion management of an attractive condensate in an optical lattice. United States. https://doi.org/10.1103/PHYSREVA.76.041601
Barontini, G, Modugno, M, and BEC-INFM Center, Universita di Trento, I-38050 Povo. 2007. "Dynamical instability and dispersion management of an attractive condensate in an optical lattice". United States. https://doi.org/10.1103/PHYSREVA.76.041601.
@article{osti_21020639,
title = {Dynamical instability and dispersion management of an attractive condensate in an optical lattice},
author = {Barontini, G and Modugno, M and BEC-INFM Center, Universita di Trento, I-38050 Povo},
abstractNote = {We investigate the stability of an attractive Bose-Einstein condensate in a one-dimensional lattice in the presence of radial confinement. We find that the system is dynamically unstable for low quasimomenta and becomes stable near the band edge, in a specular fashion with respect to the repulsive case. For low interactions the instability occurs via long-wavelength excitations that produce an oscillating density pattern in both real and momentum space instead of spoiling the condensate coherence. This behavior is illustrated by simulations for the expansion of the condensate in a moving lattice.},
doi = {10.1103/PHYSREVA.76.041601},
url = {https://www.osti.gov/biblio/21020639}, journal = {Physical Review. A},
issn = {1050-2947},
number = 4,
volume = 76,
place = {United States},
year = {Mon Oct 15 00:00:00 EDT 2007},
month = {Mon Oct 15 00:00:00 EDT 2007}
}