Quantum signatures of breather-breather interactions

Abstract

The spectrum of the Quantum Discrete Nonlinear Schrödinger equation on a periodic 1D lattice shows some interesting detailed band structure which may be interpreted as the quantum signature of a two-breather interaction in the classical case. We show that this fine structure can be interpreted using degenerate perturbation theory.

4 pages, 4 figs

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• Atomic Bose-Einstein Condensation with Three-Body Interactions and Collective Excitations
• Quantum Lattice Solitons
• ESR investigation on the Breather mode and the Spinon-Breather dynamical crossover in Cu Benzoate
• Localized breathing solutions for Bose-Einstein condensates in periodic traps
• Self-trapping mechanisms in the dynamics of three coupled Bose-Einstein condensates
• Slow relaxation, confinement, and solitons

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