Dark solitons as ground state of finite quantum systems

Preprint

30 March 1999

preprint
Published by arXiv in arXiv

Abstract

We study the stationary states of a local nonlinear Schroedinger equation with zero boundary conditions in a finite interval and at fixed normalization. Depending on the size of the system, we find, analytically and numerically, that the equation admits a nontrivial ground state with one or more knots (dark solitons). This collective state remains stable in presence of an external linear field of moderate intensity. We discuss possible applications in the case of an electron gas in a quantum well and a Bose-Einstein condensate of atoms in an opto-magnetic trap.

Keywords

NONLINEAR SCHROEDINGER
FIXED NORMALIZATION
LOCAL NONLINEAR
FINITE QUANTUM
OPTO MAGNETIC
DARK SOLITONS
GROUND STATE
SOLITONS
STATE

All Related Versions

Version 1, 1998-09-14, ArXiv
Version 2, 1999-03-30, ArXiv
Version 3, 2000-07-06, ArXiv
Published version: Physics Letters A, 275 (5-6), 424.

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