17 citations · 19 across the 3 of their papers we have counts for
3 papers
cond-mat.dis-nn2005★ 1 cited
Phonon modes in the Frenkel-Kontorova chain: exponential localization and the number theory properties of frequency bands
O. V. Zhirov, G. Casati, D. L. Shepelyansky
We study numerically phonon modes of the classical one-dimensional Frenkel-Kontorova chain, in the regime of pinned phase characterized by the phonon gap and devil's staircase, as…
cond-mat2002★ 17 cited
Quantum phase transition in the Frenkel-Kontorova chain: from pinned instanton glass to sliding phonon gas
O. V. Zhirov, G. Casati, D. L. Shepelyansky
We study analytically and numerically the one-dimensional quantum Frenkel-Kontorova chain in the regime when the classical model is located in the pinned phase characterized by the…
chao-dyn1997★ 1 cited
How long does the quantum chaos last?
Gulio Casati, B. V. Chirikov, O. V. Zhirov
The main purpose of this Comment is to point out that besides the short time scale of quantum chaos, confirmed once more in recent paper by Alicki et al, there is generally another…