Published April 23, 2014 | Version v1
Journal article

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/10.1088/1751-8113/47/16/165102

Additional details

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