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Title: Nonlinear localized modes in dipolar Bose-Einstein condensates in optical lattices

Abstract

Modulational instability and discrete matter wave solitons in dipolar BECs, loaded into a deep optical lattice, are investigated analytically and numerically. The process of modulational instability of nonlinear plane matter waves in a dipolar nonlinear lattice is studied and the regions of instability are established. The existence and stability of bulk discrete solitons are analyzed analytically and confirmed by numerical simulations. In marked contrast with the usual discrete nonlinear Schroedinger behavior (no dipolar interactions), we found a region where the two fundamental modes are simultaneously unstable, allowing enhanced mobility across the lattice for large norm values. To study the existence and properties of surface discrete solitons, an analysis of the dimer configuration is performed. The properties of symmetric and antisymmetric modes including stability diagrams and bifurcations are investigated in closed form. For the case of a bulk medium, properties of fundamental on-site and intersite localized modes are analyzed. On-site and intersite surface localized modes are studied, and we find that they do not exist when nonlocal interactions predominate with respect to local ones.

Authors:
; ;  [1];  [2];  [3];  [4]
  1. Departamento de Fisica, Facultad de Ciencias, Universidad de Chile, Santiago (Chile)
  2. (CEFOP), Casilla 4016, Concepcion (Chile)
  3. Physical-Technical Institute, Uzbek Academy of Sciences, 2-b, G. Mavlyanov str., 100084 Tashkent (Uzbekistan)
  4. (Portugal)
Publication Date:
OSTI Identifier:
22068766
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 84; Journal Issue: 3; Other Information: (c) 2011 American Institute of Physics; Country of input: Syrian Arab Republic; 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; BIFURCATION; BOSE-EINSTEIN CONDENSATION; COMPUTERIZED SIMULATION; DIMERS; INSTABILITY; INTERACTIONS; MATTER; MOBILITY; NONLINEAR PROBLEMS; SOLITONS; STABILITY; SURFACES; SYMMETRY

Citation Formats

Rojas-Rojas, S., Vicencio, R. A., Molina, M. I., Center for Optics and Photonics, Abdullaev, F. Kh., and Centro de Fisica Teorica e Computacional, Universidade de Lisboa, Av. Prof. Gama Pinto 2, Lisboa 1649-003. Nonlinear localized modes in dipolar Bose-Einstein condensates in optical lattices. United States: N. p., 2011. Web. doi:10.1103/PHYSREVA.84.033621.
Rojas-Rojas, S., Vicencio, R. A., Molina, M. I., Center for Optics and Photonics, Abdullaev, F. Kh., & Centro de Fisica Teorica e Computacional, Universidade de Lisboa, Av. Prof. Gama Pinto 2, Lisboa 1649-003. Nonlinear localized modes in dipolar Bose-Einstein condensates in optical lattices. United States. doi:10.1103/PHYSREVA.84.033621.
Rojas-Rojas, S., Vicencio, R. A., Molina, M. I., Center for Optics and Photonics, Abdullaev, F. Kh., and Centro de Fisica Teorica e Computacional, Universidade de Lisboa, Av. Prof. Gama Pinto 2, Lisboa 1649-003. Thu . "Nonlinear localized modes in dipolar Bose-Einstein condensates in optical lattices". United States. doi:10.1103/PHYSREVA.84.033621.
@article{osti_22068766,
title = {Nonlinear localized modes in dipolar Bose-Einstein condensates in optical lattices},
author = {Rojas-Rojas, S. and Vicencio, R. A. and Molina, M. I. and Center for Optics and Photonics and Abdullaev, F. Kh. and Centro de Fisica Teorica e Computacional, Universidade de Lisboa, Av. Prof. Gama Pinto 2, Lisboa 1649-003},
abstractNote = {Modulational instability and discrete matter wave solitons in dipolar BECs, loaded into a deep optical lattice, are investigated analytically and numerically. The process of modulational instability of nonlinear plane matter waves in a dipolar nonlinear lattice is studied and the regions of instability are established. The existence and stability of bulk discrete solitons are analyzed analytically and confirmed by numerical simulations. In marked contrast with the usual discrete nonlinear Schroedinger behavior (no dipolar interactions), we found a region where the two fundamental modes are simultaneously unstable, allowing enhanced mobility across the lattice for large norm values. To study the existence and properties of surface discrete solitons, an analysis of the dimer configuration is performed. The properties of symmetric and antisymmetric modes including stability diagrams and bifurcations are investigated in closed form. For the case of a bulk medium, properties of fundamental on-site and intersite localized modes are analyzed. On-site and intersite surface localized modes are studied, and we find that they do not exist when nonlocal interactions predominate with respect to local ones.},
doi = {10.1103/PHYSREVA.84.033621},
journal = {Physical Review. A},
issn = {1050-2947},
number = 3,
volume = 84,
place = {United States},
year = {2011},
month = {9}
}