The nonlinear Schroedinger equation on a disordered chain
Conference
·
OSTI ID:6207520
The integrable lattice nonlinear Schroedinger equation is a unique model with which to investigate the effects of disorder on a discrete integrable dynamics, and its interplay with nonlinearity. We first review some features of the lattice nonlinear Schroedinger equation in the absence of disorder and introduce a 1- and 2-soliton collective variable approximation. Then we describe the effect of different types of disorder: attractive and repulsive isolated impurities, spatially periodic potentials, random potentials, and time dependent (kicked) long wavelength perturbations. 18 refs., 15 figs.
- Research Organization:
- Los Alamos National Lab., NM (USA)
- Sponsoring Organization:
- DFG; DOE/AD; EURSF; NATO
- DOE Contract Number:
- W-7405-ENG-36
- OSTI ID:
- 6207520
- Report Number(s):
- LA-UR-90-4214; CONF-9010286--1; ON: DE91005881; CNN: RG674-88
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
656002* -- Condensed Matter Physics-- General Techniques in Condensed Matter-- (1987-)
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BOUNDARY CONDITIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
HAMILTONIANS
HARMONIC POTENTIAL
MATHEMATICAL OPERATORS
NONLINEAR PROBLEMS
NUCLEAR POTENTIAL
PARTIAL DIFFERENTIAL EQUATIONS
POTENTIALS
QUANTUM OPERATORS
QUASI PARTICLES
SCHROEDINGER EQUATION
SOLITONS
WAVE EQUATIONS
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BOUNDARY CONDITIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
HAMILTONIANS
HARMONIC POTENTIAL
MATHEMATICAL OPERATORS
NONLINEAR PROBLEMS
NUCLEAR POTENTIAL
PARTIAL DIFFERENTIAL EQUATIONS
POTENTIALS
QUANTUM OPERATORS
QUASI PARTICLES
SCHROEDINGER EQUATION
SOLITONS
WAVE EQUATIONS