Published June 2003 | Version v1
Journal article Metadata-only

Modulational instability of Gross-Pitaevskii-type equations in 1+1 dimensions

Creators

  • 1. Department of Physics, University of Athens, Panepistimiopolis, Zografos, Athens 15784, (Greece)
  • 2. Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003-4515, USA (United States)
  • 3. Centro de Fisica Teorica e Computacional, Universidade de Lisboa, Avenida Professor Gama Pinto, 2, Lisboa 1649-003, (Portugal)

Description

The modulational instability of the nonlinear Schroedinger (NLS) equation is examined in the case with a quadratic external potential. This study is motivated by recent experimental results in the context of matter waves in Bose-Einstein condensates (BECs). The theoretical analysis invokes a lens-type transformation that converts the Gross-Pitaevskii into a modified NLS equation without explicit spatial dependence. This analysis suggests the particular interest of a specific time-varying potential [∼(t+t*)-2]. We examine both this potential, as well as the time-independent one numerically and conclude by suggesting experiments for the production of solitonic wave trains in BECs

Additional details

Identifiers

DOI
10.1103/PhysRevA.67.063610;
arXiv
arXiv:cond-mat/0404662v1;

Publishing Information

Journal Title
Physical Review. A
Journal Volume
67
Journal Issue
6
Journal Page Range
p. 063610-063610.8
ISSN
1050-2947
CODEN
PLRAAN

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
36081754
Subject category
S74: ATOMIC AND MOLECULAR PHYSICS; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
BOSE-EINSTEIN CONDENSATION; INSTABILITY; NONLINEAR PROBLEMS; OPTICS; POTENTIALS; QUANTUM MECHANICS; SCHROEDINGER EQUATION; SPACE DEPENDENCE; TRANSFORMATIONS
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS

Optional Information

Notes
(c) 2003 The American Physical Society