Exact solution for low energy quantum anharmonic vibrations in a long |
| TYPE | Other, Condensed Matter & Materials Physics |
| Speaker: | Prof. Alexander Burin |
| Affiliation: | Tulane University, USA Arriving |
| Organizer: | Prof. Boris Shapiro |
| Date: | 06.12.2015 |
| Time: | 14:30 |
| Location: | Lewiner Seminar Room (412) |
| Abstract: | We propose the algorithm for determining vibrational quantum eigenstates of periodic linear chain of atoms coupled by harmonic and third order anharmonic interactions (Fermi-Ulam-Pasta alpha problem) in the long wavelength limit within the resonant approach. Eigenstates can be encoded by sequences of integer numbers determining their energies and wavefunctions. Using these eigenstates 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. |