Inelastic Vector Soliton Collisions: A Lattice-Based Quantum Representation
COLLEGE OF WILLIAM AND MARY WILLIAMSBURG VA DEPT OF PHYSICS
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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.
- Numerical Mathematics
- Quantum Theory and Relativity