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

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

Access to Document

10.1103/PhysRevLett.93.025504

Fingerprint Dive into the research topics of 'Quantum signatures of breather-breather interactions'. Together they form a unique fingerprint.

Cite this

Dorignac, J., Eilbeck, J. C., Salerno, M., & Scott, A. C. (2004). Quantum signatures of breather-breather interactions. Physical Review Letters, 93(2), [025504]. https://doi.org/10.1103/PhysRevLett.93.025504

@article{71a87fedba594ebd8234feb71c73d943,

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.",

author = "Jerome Dorignac and Eilbeck, {J. C.} and M. Salerno and Scott, {Alwyn C.}",

year = "2004",

month = jul,

day = "9",

doi = "10.1103/PhysRevLett.93.025504",

language = "English",

volume = "93",

journal = "Physical Review Letters",

issn = "0031-9007",

publisher = "American Physical Society",

number = "2",

}

TY - JOUR

T1 - Quantum signatures of breather-breather interactions

AU - Dorignac, Jerome

AU - Eilbeck, J. C.

AU - Salerno, M.

AU - Scott, Alwyn C.

PY - 2004/7/9

Y1 - 2004/7/9

N2 - 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.

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.

U2 - 10.1103/PhysRevLett.93.025504

DO - 10.1103/PhysRevLett.93.025504

M3 - Article

VL - 93

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 2

M1 - 025504

ER -