Nonlinear modes in a complex parabolic potential

Journal Article · Fri Jan 15 00:00:00 EST 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.013606· OSTI ID:21388770

Zezyulin, Dmitry A; Alfimov, Georgy L ^[1]; Konotop, Vladimir V ^[2]

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1. Moscow Institute of Electronic Engineering, Zelenograd, Moscow RU-124498 (Russian Federation)
2. Centro de Fisica Teorica e Computacional, Universidade de Lisboa, Complexo Interdisciplinar, Avenida Professor Gama Pinto 2, Lisboa P-1649-003, Portugal, and Departamento de Fisica, Faculdade de Ciencias, Universidade de Lisboa, Campo Grande, Edificio C8, Piso 6, Lisboa P-1749-016 (Portugal)

We report on analysis of the mode structure of a Bose-Einstein condensate loaded in a complex parabolic potential and subjected to a constant pump. Stationary solutions for the positive and negative scattering lengths are addressed. In the case of a positive scattering length and large number of atoms the ground state is described by the Thomas-Fermi distribution, whose properties in the presence of the dissipation are very different from its conservative counterpart. It is shown that for a positive scattering length only the ground state appears to be stable.

• OSTI ID: 21388770
• Journal Information: Physical Review. A, Vol. 81, Issue 1; Other Information: DOI: 10.1103/PhysRevA.81.013606; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ATOMS
BOSE-EINSTEIN CONDENSATION
GROUND STATES
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
POTENTIALS
SCATTERING LENGTHS
THOMAS-FERMI MODEL
ATOMIC MODELS
DIMENSIONS
ENERGY LEVELS
LENGTH
MATHEMATICAL MODELS