Bertrand Georgeot
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View article: A novel perspective on denoising using quantum localization with application to medical imaging
A novel perspective on denoising using quantum localization with application to medical imaging Open
Background noise in many fields, such as medical imaging, poses significant challenges for accurate diagnosis, prompting the development of denoising algorithms. Traditional methodologies, however, often struggle to address the complexitie…
View article: Coherent backscattering and coherent forward-scattering effects in variations of the random quantum kicked rotor
Coherent backscattering and coherent forward-scattering effects in variations of the random quantum kicked rotor Open
International audience
View article: Quantum inspired approach for denoising with application to medical imaging
Quantum inspired approach for denoising with application to medical imaging Open
Background noise in many fields such as medical imaging poses significant challenges for accurate diagnosis, prompting the development of denoising algorithms. Traditional methodologies, however, often struggle to address the complexities …
View article: Quantum Algorithm for Signal Denoising
Quantum Algorithm for Signal Denoising Open
International audience
View article: Absence of a direct metal to Mott insulator transition for disordered interacting fermions on the Cayley tree
Absence of a direct metal to Mott insulator transition for disordered interacting fermions on the Cayley tree Open
Interacting fermions in the presence of disorder pose one of the most challenging problems in condensed matter physics, primarily due to the absence of accurate numerical tools. Our investigation delves into the intricate interplay between…
View article: Rayleigh-Jeans prethermalization and wave condensation in a nonlinear disordered Floquet system
Rayleigh-Jeans prethermalization and wave condensation in a nonlinear disordered Floquet system Open
Periodically driven quantum systems make it possible to reach stationary states with new emerging properties. However, this process is notoriously difficult in the presence of interactions because continuous energy exchanges generally boil…
View article: Traveling/non-traveling phase transition and non-ergodic properties in the random transverse-field Ising model on the Cayley tree
Traveling/non-traveling phase transition and non-ergodic properties in the random transverse-field Ising model on the Cayley tree Open
We study the random transverse field Ising model on a finite Cayley tree. This enables us to probe key questions arising in other important disordered quantum systems, in particular the Anderson transition and the problem of dirty bosons o…
View article: Report on scipost_202302_00036v1
Report on scipost_202302_00036v1 Open
We study the random transverse field Ising model on a finite Cayley tree.This enables us to probe key questions arising in other important disordered quantum systems, in particular the Anderson transition and the problem of dirty bosons on…
View article: Coherent forward scattering as a robust probe of multifractality in critical disordered media
Coherent forward scattering as a robust probe of multifractality in critical disordered media Open
We study coherent forward scattering (CFS) in critical disordered systems, whose eigenstates are multifractals. We give general and simple arguments that make it possible to fully characterize the dynamics of the shape and height of the CF…
View article: DIVA: Deep Unfolded Network from Quantum Interactive Patches for Image Restoration
DIVA: Deep Unfolded Network from Quantum Interactive Patches for Image Restoration Open
This paper presents a deep neural network called DIVA unfolding a baseline adaptive denoising algorithm (De-QuIP), relying on the theory of quantum many-body physics. Furthermore, it is shown that with very slight modifications, this netwo…
View article: Traveling/non-traveling phase transition and non-ergodic properties in the random transverse-field Ising model on the Cayley tree
Traveling/non-traveling phase transition and non-ergodic properties in the random transverse-field Ising model on the Cayley tree Open
We study the random transverse field Ising model on a finite Cayley tree. This enables us to probe key questions arising in other important disordered quantum systems, in particular the Anderson transition and the problem of dirty bosons o…
View article: Critical properties of the Anderson transition on random graphs: Two-parameter scaling theory, Kosterlitz-Thouless type flow, and many-body localization
Critical properties of the Anderson transition on random graphs: Two-parameter scaling theory, Kosterlitz-Thouless type flow, and many-body localization Open
The Anderson transition in random graphs has raised great interest, partly\nbecause of its analogy with the many-body localization (MBL) transition. Unlike\nthe latter, many results for random graphs are now well established, in\nparticula…
View article: Report on scipost_202210_00061v1
Report on scipost_202210_00061v1 Open
We study coherent forward scattering (CFS) in critical disordered systems, whose eigenstates are multifractals.We give general and simple arguments that make it possible to fully characterize the dynamics of the shape and height of the CFS…
View article: Coherent forward scattering as a robust probe of multifractality in critical disordered media
Coherent forward scattering as a robust probe of multifractality in critical disordered media Open
We study coherent forward scattering (CFS) in critical disordered systems, whose eigenstates are multifractals. We give general and simple arguments that make it possible to fully characterize the dynamics of the shape and height of the CF…
View article: Critical properties of the Anderson transition in random graphs: two-parameter scaling theory, Kosterlitz-Thouless type flow and many-body localization
Critical properties of the Anderson transition in random graphs: two-parameter scaling theory, Kosterlitz-Thouless type flow and many-body localization Open
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 for random graphs are now well established, in particular t…
View article: A Novel Image Denoising Algorithm Using Concepts of Quantum Many-Body Theory
A Novel Image Denoising Algorithm Using Concepts of Quantum Many-Body Theory Open
Sparse representation of real-life images is a very effective approach in imaging applications, such as denoising. In recent years, with the growth of computing power, data-driven strategies exploiting the redundancy within patches extract…
View article: Prethermalization and wave condensation in a nonlinear disordered Floquet system
Prethermalization and wave condensation in a nonlinear disordered Floquet system Open
Periodically-driven quantum systems make it possible to reach stationary states with new emerging properties. However, this process is notoriously difficult in the presence of interactions because continuous energy exchanges generally boil…
View article: Poisson Image Deconvolution by a Plug-and-Play Quantum Denoising Scheme
Poisson Image Deconvolution by a Plug-and-Play Quantum Denoising Scheme Open
This paper introduces a new Plug-and-Play (PnP) alternating direction of\nmultipliers (ADMM) scheme based on a recently proposed denoiser using the\nSchroedinger equation's solutions of quantum physics. The efficiency of the\nproposed algo…
View article: Chaos-Assisted Long-Range Tunneling for Quantum Simulation
Chaos-Assisted Long-Range Tunneling for Quantum Simulation Open
We present an extension of the chaos-assisted tunneling mechanism to spatially periodic lattice systems. We demonstrate that driving such lattice systems in an intermediate regime of modulation maps them onto tight-binding Hamiltonians wit…
View article: Plug-and-Play Quantum Adaptive Denoiser for Deconvolving Poisson Noisy Images
Plug-and-Play Quantum Adaptive Denoiser for Deconvolving Poisson Noisy Images Open
A new Plug-and-Play (PnP) alternating direction of multipliers (ADMM) scheme\nis proposed in this paper, by embedding a recently introduced adaptive denoiser\nusing the Schroedinger equation's solutions of quantum physics. The potential\no…
View article: Accuracy of neural networks for the simulation of chaotic dynamics: Precision of training data vs precision of the algorithm
Accuracy of neural networks for the simulation of chaotic dynamics: Precision of training data vs precision of the algorithm Open
We explore the influence of precision of the data and the algorithm for the simulation of chaotic dynamics by neural network techniques. For this purpose, we simulate the Lorenz system with different precisions using three different neural…
View article: Poisson Image Deconvolution by a Plug-and-Play Quantum Denoising Scheme
Poisson Image Deconvolution by a Plug-and-Play Quantum Denoising Scheme Open
This paper introduces a new Plug-and-Play (PnP) alternating direction of multipliers (ADMM) scheme based on a recently proposed denoiser using the Schroedinger equation's solutions of quantum physics. The efficiency of the proposed algorit…
View article: Chaos-assisted tunneling resonances in a synthetic Floquet superlattice
Chaos-assisted tunneling resonances in a synthetic Floquet superlattice Open
Resonances in quantum transport are observed through chaos-assisted tunneling with a quantum gas in a shaken optical lattice.
View article: Two critical localization lengths in the Anderson transition on random graphs
Two critical localization lengths in the Anderson transition on random graphs Open
We present a full description of the nonergodic properties of wavefunctions\non random graphs without boundary in the localized and critical regimes of the\nAnderson transition. We find that they are characterized by two critical\nlocaliza…
View article: Multifractality of open quantum systems
Multifractality of open quantum systems Open
We study the eigenstates of open maps whose classical dynamics is pseudointegrable and for which the corresponding closed quantum system has multifractal properties. Adapting the existing general framework developed for open chaotic quantu…
View article: Correlations in the chaotic spectrum of pressure modes in rapidly rotating stars
Correlations in the chaotic spectrum of pressure modes in rapidly rotating stars Open
The oscillation spectrum of pressure waves in stars can be determined by\nmonitoring their luminosity. For rapidly rotating stars, the corresponding ray\ndynamics is mixed, with chaotic and regular zones in phase space. Our numerical\nsimu…