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Title: Gap solitons and Bloch waves of interacting bosons in one-dimensional optical lattices: From the weak- to the strong-interaction limits

Abstract

We study the gap solitons and nonlinear Bloch waves of interacting bosons in one-dimensional optical lattices, taking into account the interaction from the weak to the strong limits. It is shown that composition relation between the gap solitons and nonlinear Bloch waves exists for the whole span of the interaction strength. The linear stability analysis indicates that the gap solitons are stable when their energies are near the bottom of the linear Bloch band gap. By increasing the interaction strength, the stable gap solitons can become unstable. It is argued that the stable gap solitons can easily be formed in a weakly interacting system with energies near the bottom of the lower-level linear Bloch band gaps.

Authors:
; ;  [1];  [2];  [1]
  1. College of Science, Yanshan University, Qinhuangdao 066004 (China)
  2. Department of Physics, National Taiwan Normal University, Taipei 11677, Taiwan (China)
Publication Date:
OSTI Identifier:
21544671
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 83; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevA.83.043610; (c) 2011 American Institute of Physics; Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 74 ATOMIC AND MOLECULAR PHYSICS; BLOCH THEORY; INTERACTING BOSON MODEL; LATTICE PARAMETERS; NONLINEAR PROBLEMS; ONE-DIMENSIONAL CALCULATIONS; SOLITONS; STABILITY; STRONG INTERACTIONS; BASIC INTERACTIONS; INTERACTIONS; MATHEMATICAL MODELS; NUCLEAR MODELS; QUASI PARTICLES; SHELL MODELS

Citation Formats

Xu, T F, Guo, X M, Jing, X L, Wu, W C, Liu, C S, and Department of Physics, National Taiwan Normal University, Taipei 11677, Taiwan. Gap solitons and Bloch waves of interacting bosons in one-dimensional optical lattices: From the weak- to the strong-interaction limits. United States: N. p., 2011. Web. doi:10.1103/PHYSREVA.83.043610.
Xu, T F, Guo, X M, Jing, X L, Wu, W C, Liu, C S, & Department of Physics, National Taiwan Normal University, Taipei 11677, Taiwan. Gap solitons and Bloch waves of interacting bosons in one-dimensional optical lattices: From the weak- to the strong-interaction limits. United States. https://doi.org/10.1103/PHYSREVA.83.043610
Xu, T F, Guo, X M, Jing, X L, Wu, W C, Liu, C S, and Department of Physics, National Taiwan Normal University, Taipei 11677, Taiwan. 2011. "Gap solitons and Bloch waves of interacting bosons in one-dimensional optical lattices: From the weak- to the strong-interaction limits". United States. https://doi.org/10.1103/PHYSREVA.83.043610.
@article{osti_21544671,
title = {Gap solitons and Bloch waves of interacting bosons in one-dimensional optical lattices: From the weak- to the strong-interaction limits},
author = {Xu, T F and Guo, X M and Jing, X L and Wu, W C and Liu, C S and Department of Physics, National Taiwan Normal University, Taipei 11677, Taiwan},
abstractNote = {We study the gap solitons and nonlinear Bloch waves of interacting bosons in one-dimensional optical lattices, taking into account the interaction from the weak to the strong limits. It is shown that composition relation between the gap solitons and nonlinear Bloch waves exists for the whole span of the interaction strength. The linear stability analysis indicates that the gap solitons are stable when their energies are near the bottom of the linear Bloch band gap. By increasing the interaction strength, the stable gap solitons can become unstable. It is argued that the stable gap solitons can easily be formed in a weakly interacting system with energies near the bottom of the lower-level linear Bloch band gaps.},
doi = {10.1103/PHYSREVA.83.043610},
url = {https://www.osti.gov/biblio/21544671}, journal = {Physical Review. A},
issn = {1050-2947},
number = 4,
volume = 83,
place = {United States},
year = {Fri Apr 15 00:00:00 EDT 2011},
month = {Fri Apr 15 00:00:00 EDT 2011}
}