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Frequency map analysis of spatiotemporal chaos in the nonlinear disordered Klein-Gordon lattice
Charalampos Skokos, Enrico Gerlach, Sergej Flach
We study the characteristics of chaos evolution of initially localized energy excitations in the one-dimensional nonlinear disordered Klein-Gordon lattice of anharmonic oscillators…
Lyapunov spectrum scaling for classical many-body dynamics close to integrability
Merab Malishava, Sergej Flach
We propose a novel framework to characterize the thermalization of many-body dynamical systems close to integrable limits using the scaling properties of the full Lyapunov spectrum…
Metal-insulator transition in infinitesimally weakly disordered flatbands
Tilen Cadez, Yeongjun Kim, Alexei Andreanov +1
We study the effect of infinitesimal onsite disorder on d-dimensional all bands flat lattices. The lattices are generated from diagonal Hamiltonians by a sequence of (d + 1) local…
Anderson localization of excitations in disordered Gross-Pitaevskii lattices
Yagmur Kati, Mikhail V. Fistul, Alexander Yu. Cherny +1
We examine the one-dimensional Gross-Pitaevskii lattice at zero temperature in the presence of uncorrelated disorder. We obtain analytical expressions for the thermodynamic propert…
Logarithmic expansion of many-body wave packets in random potentials
Arindam Mallick, Sergej Flach
Anderson localization confines the wave function of a quantum particle in a one-dimensional random potential to a volume of the order of the localization length . Nonlinear add-…
Heat percolation in many-body flatband localizing systems
I. Vakulchyk, C. Danieli, Alexei Andreanov +1
Translationally invariant finetuned single-particle lattice Hamiltonians host flat bands only. Suitable short-range many-body interactions result in complete suppression of particl…