Quantum lattice gas representation for vector solitons

Abstract

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Inelastic vector soliton collisions: a lattice–based quantum representation

“…Turbulent soliton interactions are also considered using a potential of the form V2A[JQi 2 + 1Q21 2 ] in the evolution of the Q 2 -mode, while the Qi-mode satisfies the standard cubic NLS potential. We have presented some preliminary results on the elastic Manakov soliton collisions at a SPIE conference (Vahala et al 2003a). Here, we concentrate on those soliton parameters that permit inelastic Manakov soliton collisions, and consider the effect of the cross-phase modulation coefficient and turbulence on the soliton/solitary waves.…”

“…Here we generalize our QLG algorithm for the scalar NLS equation (Vahala et al 2003a) to the coupled vector NLS system for arbitrary coupling potentials V1, and V2,…”

Quantum lattice representation of dark solitons

“…The appropriate collide-stream sequence of unitary operators needed to recover the dispersive part of NLS is dictated by the fact thatC 4…”

<title>Quantum lattice representation of 1D MHD turbulence with arbitrary transport coefficients</title>

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