TY  - JOUR
A1  - Zhirov, O. V.
A1  - Pikovskij, Arkadij
A1  - Shepelyansky, Dima L.
T1  - Quantum vacuum of strongly nonlinear lattices
T2  - Physical review : E, Statistical, nonlinear and soft matter physics
N2  - 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.
Y1  - 2011
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/37084
SN  - 1539-3755
VL  - 83
IS  - 1
PB  - American Physical Society
CY  - College Park
ER  -