Stability of Quantum Breathers
Abstract
Using two methods we show that a quantized discrete breather in a 1D lattice is stable. One method uses path integrals and compares correlations for a (linear) local mode with those of the quantum breather. The other takes a local mode as the zeroth order system relative to which numerical, cutoff-insensitive diagonalization of the Hamiltonian is performed.
- Publication:
-
Physical Review Letters
- Pub Date:
- February 2006
- DOI:
- arXiv:
- arXiv:cond-mat/0601209
- Bibcode:
- 2006PhRvL..96f5501S
- Keywords:
-
- 31.15.Gy;
- 05.45.-a;
- 31.70.Hq;
- 63.20.Pw;
- Semiclassical methods;
- Nonlinear dynamics and chaos;
- Time-dependent phenomena: excitation and relaxation processes and reaction rates;
- Localized modes;
- Condensed Matter - Statistical Mechanics;
- Nonlinear Sciences - Pattern Formation and Solitons
- E-Print:
- 4 pages, 3 figures