Interference nature of quantum breather oscillation
- 1. Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Str. 38, D-01187 Dresden (Germany)
- 2. Institut für Theoretische Physik, Technische Universität Dresden, D-01062 Dresden (Germany)
Description
In a system of coupled nonlinear oscillators, the breather (or local mode) solution is studied fully quantum mechanically, as well as by a semiclassical initial value representation of the propagator and classical Wigner dynamics. We show that the initial breather state is a superposition of almost degenerate eigenstates. From this simple observation it follows that the breather must decay and revive (i.e., oscillate with energy localization for extended times). Numerical results are shown for a two degree of freedom system. The fact that the semiclassical real-time result reproduces the full quantum one to a large degree, whereas the classical Wigner dynamics based on a similar set of trajectories does not, indicates that the breather oscillation can be viewed as an interference phenomenon. (paper)
Availability note (English)
Available from http://dx.doi.org/10.1088/1751-8113/47/16/165102Additional details
Identifiers
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and Theoretical (Online)
- Journal Volume
- 47
- Journal Issue
- 16
- Journal Page Range
- [14 p.]
- ISSN
- 1751-8121
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 46032960
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- DEGREES OF FREEDOM; EIGENSTATES; OSCILLATIONS; OSCILLATORS; PROPAGATOR; QUANTUM MECHANICS; SEMICLASSICAL APPROXIMATION
- Descriptors DEC
- APPROXIMATIONS; CALCULATION METHODS; ELECTRONIC EQUIPMENT; EQUIPMENT; MECHANICS