Accession Number:

ADA439981

Title:

Inelastic Vector Soliton Collisions: A Lattice-Based Quantum Representation

Descriptive Note:

Journal article

Corporate Author:

COLLEGE OF WILLIAM AND MARY WILLIAMSBURG VA DEPT OF PHYSICS

Personal Author(s):

• Vahala, George
• Vahala, Linda
• Yepez, Jeffrey

Report Date:

2004-01-01

Pagination or Media Count:

15.0

Abstract:

Lattice based quantum algorithms are developed for vector soliton collisions in the completely integrable Manakov equations, a system of coupled nonlinear Schrodinger coupled-NLS equations that describe the propagation of pulses in a birefringent fibre of unity cross-phase modulation factor. Under appropriate conditions the exact 2-soliton vector solutions yield in elastic soliton collisions, in agreement with the theoretical predictions of Radhakrishnan et al. 1997 Phys. Rev. E56, 2213. For linearly birefringent fibres, quasi-elastic solitary-wave collisions are obtained with emission of radiation. In a coupled integrable turbulent NLS system, soliton turbu lence is found with mode intensity spectrum scaling as kappa-exp -6.

Descriptors:

• *VECTOR ANALYSIS
• *SOLITONS
• QUANTUM THEORY
• ELASTIC PROPERTIES
• TURBULENCE
• COLLISIONS
• BIREFRINGENCE
• MATHEMATICAL PREDICTION
• SCALING FACTOR

Subject Categories:

• Numerical Mathematics
• Quantum Theory and Relativity
• Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE