activity
20062024
most citedScaling theory of the Anderson transition in random graphs: ergodicity and universality

139 citations · 672 across the 24 of their papers we have counts for

collaborators

24 papers

nlin.CD2024

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…

quant-ph2024★ 3 cited

Universal correlations in chaotic many-body quantum states: Fock-space formulation of Berrys random wave model

Florian Schoeppl, Remy Dubertrand, Juan-Diego Urbina +1

The apparent randomness of chaotic eigenstates in interacting quantum systems hides subtle correlations dynamically imposed by their finite energy per particle. These correlations…

cond-mat.dis-nn2022★ 57 cited

Critical properties of the Anderson transition in random graphs: two-parameter scaling theory, Kosterlitz-Thouless type flow and many-body localization

Ignacio García-Mata, John Martin, Olivier Giraud +3

The Anderson transition in random graphs has raised great interest, partly because of its analogy with the many-body localization (MBL) transition. Unlike the latter, many results…

nlin.CD2020★ 2 cited

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…

cond-mat.dis-nn2019★ 80 cited

Two critical localization lengths in the Anderson transition on random graphs

I. García-Mata, J. Martin, R. Dubertrand +3

We present a full description of the nonergodic properties of wavefunctions on random graphs without boundary in the localized and critical regimes of the Anderson transition. We f…

quant-ph2018★ 1 cited

Analytical results for the quantum non-Markovianity of spin ensembles undergoing pure dephasing dynamics

Rémy Dubertrand, Alexandre Cesa, John Martin

We study analytically the non-Markovianity of a spin ensemble, with arbitrary number of spins and spin quantum number, undergoing a pure dephasing dynamics. The system is considere…