Bibcode
Navarrete, C.; Perez, A.; Roldan, Eugenio
Referencia bibliográfica
eprint arXiv:quant-ph/0604084
Advertised on:
4
2006
Número de citas
0
Número de citas referidas
0
Descripción
We introduce coined Nonlinear Quantum Walks (NLQW) on the lattice. The
NLQW is based on the walker acquisition of non-linear (probability
dependent) phases at each step of the walk. The most striking result is
the formation of non-dispersive pulses in the probability distribution
(soliton-like structures). These exhibit a variety of dynamical
behaviors, including ballistic motion, dynamical localization,
non-elastic collisions and chaotic behavior, in the sense that the
dynamics is very sensitive to the nonlinearity strength.