2010/05/05 by O. V. Zhirov, Arkady Pikovsky, A. S. Pikovsky +2 · 5 citations
Physics and Astronomy · #Chaotic #Cold Atom Physics and Bose-Einstein Condensates #Exponent #Integrable system #Mathematical physics #Nonlinear Photonic Systems #Nonlinear system #Phonon #Physics #Planck constant #Quantum #Quantum chaos #Quantum dynamics #Quantum mechanics #Statistical physics #Strong Light-Matter Interactions #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.83.016202
published in Physical Review E 83(1), 016202 (American Physical Society) · RevTex 7 pages, 8 figs, research at http://www.quantware.ups-tlse.fr/
arxiv created 2010/05/05 · openalex publication_date 2011/01/03 · arxiv updated 2011/01/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the properties of classical and quantum strongly nonlinear chains by means of extensive numerical simulations. Due to strong nonlinearity, the classical dynamics of such chains remains chaotic at arbitrarily low energies. We show that the collective excitations of classical chains are described by sound waves whose decay rate scales algebraically with the wave number with a generic exponent value. The properties of the quantum chains are studied by the quantum Monte Carlo method and it is found that the low-energy excitations are well described by effective phonon modes with the sound velocity dependent on an effective Planck constant. Our results show that at low energies the quantum effects lead to a suppression of chaos and drive the system to a quasi-integrable regime of effective phonon modes.