139 citations · 672 across the 24 of their papers we have counts for
9 papers · 1 filter
Classical transport in a maximally chaotic chain
William Alderson, Rémy Dubertrand, Akira Shudo
A model for a lattice of coupled cat maps has been recently introduced. This new and specific choice of the coupling makes the description especially easy and nontrivial quantities…
Ergodic and non-ergodic many-body dynamics in strongly nonlinear lattices
Dominik Hahn, Juan-Diego Urbina, Klaus Richter +2
The study of non-linear oscillator chains in classical many-body dynamics has a storied history going back to the seminal work of Fermi, Pasta, Ulam and Tsingou (FPUT). We introduc…
Spectral statistics of chaotic many-body systems
Rémy Dubertrand, Sebastian Müller
We derive a trace formula that expresses the level density of chaotic many-body systems as a smooth term plus a sum over contributions associated to solutions of the nonlinear Schr…
Multifractality of quantum wave functions in the presence of perturbations
R. Dubertrand, I. García-Mata, B. Georgeot +3
We present a comprehensive study of the destruction of quantum multifractality in the presence of perturbations. We study diverse representative models displaying multifractality,…
Two scenarios for quantum multifractality breakdown
R. Dubertrand, I. García-Mata, B. Georgeot +3
We expose two scenarios for the breakdown of quantum multifractality under the effect of perturbations. In the first scenario, multifractality survives below a certain scale of the…
Trace formula for dielectric cavities III: TE modes
E. Bogomolny, R. Dubertrand
The construction of the semiclassical trace formula for the resonances with the transverse electric (TE) polarization for two-dimensional dielectric cavities is discussed. Special…