Quantum Lattice Representations for Vector Solitons in External Potentials

Abstract

A quantum lattice algorithm is developed to examine the effect of an external potential well on exactly integrable Vector Manakov solitons. It is found that the exact solutions to the coupled nonlinear Schrodinger equations act like quasi-solitons in weak potentials, leading to mode-locking, trapping and untrapping. Stronger potential wells will lead to the emission of radiation modes from the quasi-soliton initial conditions. If the external potential is applied to that particular mode polarization, then the radiation will be trapped within the potential well. The algorithm developed leads to a finite difference scheme that is unconditionally stable. The Manakov system in an external potential is very closely related to the Gross-Pitaevskii equation for the ground state wave functions of a coupled BEC state at Tau = OK.

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Document Details

Document Type
Technical Report
Publication Date
Sep 29, 2005
Accession Number
ADA442821

Entities

People

  • George Vahala
  • Jeffrey Yepez
  • Linda Vahala

Organizations

  • College of William & Mary

Tags

DTIC Thesaurus Topics

  • Air Force
  • Air Force Research Laboratories
  • Algorithms
  • Amplitude
  • Amplitude Modulation
  • Bose Einstein Condensates
  • Collisions
  • Electromagnetic Wave Propagation
  • Equations
  • Inverse Scattering
  • Modulation
  • Phase Modulation
  • Polarization
  • Quantum Mechanics
  • Radiation
  • Schrodinger Equation
  • Wave Functions

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Optical Physics and Photonics.
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.

Technology Areas

  • Quantum Computing