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Thermalization slowing down in multidimensional Josephson junction networks
Gabriel M. Lando, Sergej Flach
We characterize thermalization slowing-down of Josephson junction networks in 1, 2 and 3 spatial dimensions for systems with hundreds of sites by computing their entire Lyapunov sp…
Many-body localization transition from flatband fine-tuning
Carlo Danieli, Alexei Andreanov, Sergej Flach
Translationally invariant flatband Hamiltonians with interactions lead to a many-body localization transition. Our models are obtained from single particle lattices hosting a mix o…
Density Resolved Wave Packet Spreading in Disordered Gross-Pitaevskii Lattices
Yagmur Kati, Xiaoquan Yu, Sergej Flach
We perform novel energy and norm density resolved wave packet spreading studies in the disordered Gross-Pitaevskii (GP) lattice to confine energy density fluctuations. We map the l…
Many-Body Flatband Localization
Carlo Danieli, Alexei Andreanov, Sergej Flach
We generate translationally invariant systems exhibiting many-body localization from All-Bands- Flat single particle lattice Hamiltonians dressed with suitable short-range many-bod…
Dynamical Glass and Ergodization Times in Classical Josephson Junction Chains
Mithun Thudiyangal, Carlo Danieli, Yagmur Kati +1
Models of classical Josephson junction chains turn integrable in the limit of large energy densities or small Josephson energies. Close to these limits the Josephson coupling betwe…
Non-Gibbs states on a Bose-Hubbard lattice
Alexander Yu. Cherny, Thomas Engl, Sergej Flach
We study the equilibrium properties of the repulsive quantum Bose-Hubbard model at high temperatures in arbitrary dimensions, with and without disorder. In its microcanonical setti…
Thermal conductivity of nonlinear waves in disordered chains
Sergej Flach, Mikhail Ivanchenko, Nianbei Li
We present computational data on the thermal conductivity of nonlinear waves in disordered chains. Disorder induces Anderson localization for linear waves and results in a vanishin…
Energy carriers in the Fermi-Pasta-Ulam lattice: Solitons or Phonons?
Nianbei Li, Baowen Li, Sergej Flach
We investigate anomalous energy transport processes in the Fermi-Pasta-Ulam lattice. They are determined by the maximum sound velocity of the relevant weakly damped energy carr…
Delocalization and spreading in a nonlinear Stark ladder
Dmitry O. Krimer, Ramaz Khomeriki, Sergej Flach
We study the evolution of a wave packet in a nonlinear Schrödinger lattice equation subject to a dc bias. In the absence of nonlinearity all normal modes are spatially localized gi…
Universal spreading of wavepackets in disordered nonlinear systems
S. Flach, D. Krimer, Ch. Skokos
In the absence of nonlinearity all eigenmodes of a chain with disorder are spatially localized (Anderson localization). The width of the eigenvalue spectrum, and the average eigenv…
Vortex and translational currents due to broken time-space symmetries
S. Denisov, Y. Zolotaryuk, S. Flach +1
We consider the classical dynamics of a particle in a -dimensional space-periodic potential under the influence of time-periodic external fields with zero mean. We perform a…
Quantum resonances and rectification of driven cold atoms in optical lattices
S. Denisov, L. Morales-Molina, S. Flach
Classical Hamiltonian ratchets have been recently successfully realized using cold atoms in driven optical lattices. Here we study the current rectification of the motion of a quan…
Discrete breathers in thermal equilibrium: distributions and energy gaps
Maria Eleftheriou, Sergej Flach
We study a discrete two-dimensional nonlinear system that allows for discrete breather solutions. We perform a spectral analysis of the lattice dynamics at thermal equilibrium and…