The spectrum of the quantum discrete nonlinear Schro¨dinger equation, or boson Hubbard Hamiltonian, 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. This fine structure is studied using degenerate perturbation theory.We also present a modification to this model, which increases the mobility of bound states.
Quantum signatures of breather-breather interactions
SALERNO, Mario;
2004
Abstract
The spectrum of the quantum discrete nonlinear Schro¨dinger equation, or boson Hubbard Hamiltonian, 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. This fine structure is studied using degenerate perturbation theory.We also present a modification to this model, which increases the mobility of bound states.File in questo prodotto:
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