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APS » Journals » Phys. Rev. Lett. » Volume 93 » Issue 2
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Phys. Rev. Lett. 93, 025504 (2004) [4 pages]

Quantum Signatures of Breather-Breather Interactions

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J. Dorignac* and J. C. Eilbeck†
Department of Mathematics, Heriot-Watt University, Riccarton, Edinburgh, EH14 4AS, United Kingdom

M. Salerno‡
Dipartimento di Fisica “E. R. Caianiello” and INFM Unitá di Salerno, via S. Allende, I-84081, Baronissi (SA), Italy

A. C. Scott§
Department of Mathematics, University of Arizona, Tucson, Arizona 85721, USA

Received 16 December 2003; published 9 July 2004

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.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.93.025504
DOI:
10.1103/PhysRevLett.93.025504
PACS:
63.20.Pw, 63.20.Ry

*Electronic address: J.Dorignac@hw.ac.uk

†Electronic address: J.C.Eilbeck@hw.ac.uk

‡Electronic address: salerno@sa.infn.it

§Electronic address: rover@theriver.com

 
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