Quantum signatures of breather-breather interactions

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

Research output: Contribution to journal › Article

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 languageEnglish
Article number025504
JournalPhysical Review Letters
Volume93
Issue number2
DOIs
Publication statusPublished - 9 Jul 2004

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nonlinear equations
bosons
perturbation theory
fine structure
signatures
interactions

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Dorignac, Jerome ; Eilbeck, J. C. ; Salerno, M. ; Scott, Alwyn C. / Quantum signatures of breather-breather interactions. In: Physical Review Letters. 2004 ; Vol. 93, No. 2.
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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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Dorignac, J, Eilbeck, JC, Salerno, M & Scott, AC 2004, 'Quantum signatures of breather-breather interactions', Physical Review Letters, vol. 93, no. 2, 025504. https://doi.org/10.1103/PhysRevLett.93.025504

Quantum signatures of breather-breather interactions. / Dorignac, Jerome; Eilbeck, J. C.; Salerno, M.; Scott, Alwyn C.

In: Physical Review Letters, Vol. 93, No. 2, 025504, 09.07.2004.

Research output: Contribution to journal › Article

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AU - Dorignac, Jerome

AU - Eilbeck, J. C.

AU - Salerno, M.

AU - Scott, Alwyn C.

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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.

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DO - 10.1103/PhysRevLett.93.025504

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JO - Physical Review Letters

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Dorignac J, Eilbeck JC, Salerno M, Scott AC. Quantum signatures of breather-breather interactions. Physical Review Letters. 2004 Jul 9;93(2). 025504. https://doi.org/10.1103/PhysRevLett.93.025504

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