Inelastic Vector Soliton Collisions: A Lattice-Based Quantum Representation

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).

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2004
Accession Number
ADA439981

Entities

People

  • George Vahala
  • Jeffrey Yepez
  • Linda Vahala

Organizations

  • College of William & Mary

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force Research Laboratories
  • Algorithms
  • Collisions
  • Equations
  • Intensity
  • Modulation
  • Optical Fibers
  • Phase Modulation
  • Quantum Algorithms
  • Quantum Computing
  • Quantum Information
  • Quantum Properties
  • Radiation
  • Solitons
  • Spectra
  • Wave Functions
  • Waves

Fields of Study

  • Physics

Readers

  • Optical Physics and Photonics.
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.
  • Wave Propagation and Nonlinear Chaotic Dynamics.

Technology Areas

  • Quantum Computing