Chaotic Dynamics in a Quantum Fermi–Pasta–Ulam Problem

Autor:	Alexander L. Burin, Andrii O. Maksymov, Ma’ayan Schmidt, Il’ya Ya. Polishchuk
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	quantum chaos Fermi—Pasta—Ulam problem anharmonic vibrations molecular vibrations vibrational energy relaxation and transport Science Astrophysics QB460-466 Physics QC1-999
Zdroj:	Entropy, Vol 21, Iss 1, p 51 (2019)
Druh dokumentu:	article
ISSN:	1099-4300
DOI:	10.3390/e21010051
Popis:	We investigate the emergence of chaotic dynamics in a quantum Fermi—Pasta—Ulam problem for anharmonic vibrations in atomic chains applying semi-quantitative analysis of resonant interactions complemented by exact diagonalization numerical studies. The crossover energy separating chaotic high energy phase and localized (integrable) low energy phase is estimated. It decreases inversely proportionally to the number of atoms until approaching the quantum regime where this dependence saturates. The chaotic behavior appears at lower energies in systems with free or fixed ends boundary conditions compared to periodic systems. The applications of the theory to realistic molecules are discussed.
Databáze:	Directory of Open Access Journals
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