Colloquium: Quantum and classical discrete time crystals

MP Zaletel, M Lukin, C Monroe, C Nayak, F Wilczek… - Reviews of Modern …, 2023 - APS
The spontaneous breaking of time-translation symmetry has led to the discovery of a new
phase of matter: the discrete time crystal. Discrete time crystals exhibit rigid subharmonic …

Devil's staircases and continued fractions in Josephson junctions

YM Shukrinov, SY Medvedeva, AE Botha, MR Kolahchi… - Physical Review B, 2013 - APS
Detailed numerical simulations of the IV characteristics of a Josephson junction under
external electromagnetic radiation show the devil's staircase within different bias current …

[图书][B] The ac driven Frenkel-Kontorova model

J Tekić, P Mali, D Kapor, Z Ivić, M Raković, A Rockov - 2016 - books.google.com
In theoretical physics, the ultimate goal is always to find the simplest and still most tractable
models which can be universally applied, and which could provide a deep understanding of …

Subharmonic Shapiro steps of sliding colloidal monolayers in optical lattices

SVP Ticco, G Fornasier, N Manini… - Journal of Physics …, 2016 - iopscience.iop.org
We investigate theoretically the possibility to observe dynamical mode locking, in the form of
Shapiro steps, when a time-periodic potential or force modulation is applied to a two …

Application of largest Lyapunov exponent analysis on the studies of dynamics under external forces

J Odavić, P Mali, J Tekić, M Pantić… - … in Nonlinear Science …, 2017 - Elsevier
Dynamics of driven dissipative Frenkel–Kontorova model is examined by using largest
Lyapunov exponent computational technique. Obtained results show that besides the usual …

Size effect of the subharmonic Shapiro steps on the interference phenomena in the Frenkel-Kontorova model with realistic substrate potentials

J Tekić, P Mali, Z Ivić, M Pantić - Journal of Applied Physics, 2013 - pubs.aip.org
Size effect of the subharmonic Shapiro steps on the behavior of harmonic ones is studied in
the ac driven overdamped Frenkel-Kontorova model with different types of physically …

Largest Lyapunov exponent as a tool for detecting relative changes in the particle positions

P Mali, S Radošević, S Gombar, J Tekić, M Pantić… - Physical Review E, 2023 - APS
Dynamics of the driven Frenkel-Kontorova model with asymmetric deformable substrate
potential is examined by analyzing response function, the largest Lyapunov exponent, and …

Complexity of Shapiro steps

P Mali, A Šakota, J Tekić, S Radošević, M Pantić… - Physical Review E, 2020 - APS
We demonstrate, using the example of the dc+ ac driven overdamped Frenkel-Kontorova
model, that an easily calculable measure of complexity can be used for the examination of …

Influence of substrate potential shape on the dynamics of a sliding lubricant chain

RL Woulaché, A Vanossi, N Manini - … Review E—Statistical, Nonlinear, and Soft …, 2013 - APS
We investigate the frictional sliding of an incommensurate chain of interacting particles
confined in between two nonlinear on-site substrate potential profiles in relative motion. We …

[PDF][PDF] Frenkel-Kontorova 模型中基底势振动的影响

雷佑铭, 李毅伟, 赵云平 - 物理学报, 2014 - wulixb.iphy.ac.cn
基于一维Frenkel-Kontorova 模型, 研究了振动的基底势对系统纳米摩擦现象的影响.
分别在相邻原子间的距离与周期势场的周期比为不公度(incommensurate) …