Quantum signatures of breather-breather interactions

Jerome Dorignac; J. C. Eilbeck; M. Salerno; Alwyn C. Scott

doi:10.1103/PhysRevLett.93.025504

Quantum signatures of breather-breather interactions

Jerome Dorignac, J. C. Eilbeck, M. Salerno, Alwyn C. Scott

Research output: Contribution to journal › Article › peer-review

45 Citations (Scopus)

Abstract

The spectrum of the quantum discrete nonlinear Schrödinger 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.

Original language	English
Article number	025504
Journal	Physical Review Letters
Volume	93
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevLett.93.025504
Publication status	Published - 9 Jul 2004

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title = "Quantum signatures of breather-breather interactions",

abstract = "The spectrum of the quantum discrete nonlinear Schr{\"o}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.",

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AB - The spectrum of the quantum discrete nonlinear Schrödinger 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.

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