Lecturer: Prof. Alexander L. Burin
Affiliation: Tulane University
Abstract:
We propose the algorithm for determining
quantum stationary states of periodic linear
chain of atoms coupled by harmonic and
third order anharmonic interactions (Fermi-
Ulam-Pasta α problem) in the long
wavelength limit within the resonant
approach. These states can be encoded by
sequences of integer numbers determining
their energies and wave functions. Using
these states we described the exact time
evolution of a single phonon state showing
coherent oscillations. The applications of
theory to vibrational energy transport and
quantum informatics are discussed.