Zobrazeno 1 - 10
of 105
pro vyhledávání: '"Brunet, Eric"'
Publikováno v:
Phys. Rev. B 108, L241106 (2023)
Quenched disorder slows down the scrambling of quantum information. Using a bottom-up approach, we formulate a kinetic theory of scrambling in a correlated metal near a superconducting transition, following the scrambling dynamics as the impurity sca
Externí odkaz:
http://arxiv.org/abs/2305.04958
Autor:
Brunet, Éric
The solution h to the Fisher-KPP equation with a steep enough initial condition develops into a front moving at velocity 2, with logarithmic corrections to its position. In this paper we investigate the value h(c t, t) of the solution ahead of the fr
Externí odkaz:
http://arxiv.org/abs/2302.09968
Autor:
Chakrabarti, Ankita, Martins, Cyril, Laflorencie, Nicolas, Georgeot, Bertrand, Brunet, Éric, Lemarié, Gabriel
Publikováno v:
SciPost Phys. 15, 211 (2023)
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 the Cayle
Externí odkaz:
http://arxiv.org/abs/2212.13593
Publikováno v:
SciPost Phys. 15, 042 (2023)
We formulate a kinetic theory of quantum information scrambling in the context of a paradigmatic model of interacting electrons in the vicinity of a superconducting phase transition. We carefully derive a set of coupled partial differential equations
Externí odkaz:
http://arxiv.org/abs/2212.13265
In this paper, we study the free energy of the directed polymer on a cylinder of radius $L$ with the inverse temperature $\beta$. Assuming the random environment is given by a Gaussian process that is white in time and smooth in space, with an arbitr
Externí odkaz:
http://arxiv.org/abs/2110.07368
Autor:
Berestycki, Julien, Brunet, Éric, Graham, Cole, Mytnik, Leonid, Roquejoffre, Jean-Michel, Ryzhik, Lenya
We study the distance between the two rightmost particles in branching Brownian motion. Derrida and the second author have shown that the long-time limit $d_{12}$ of this random variable can be expressed in terms of PDEs related to the Fisher--KPP eq
Externí odkaz:
http://arxiv.org/abs/2010.10431
In a branching process, the number of particles increases exponentially with time, which makes numerical simulations for large times difficult. In many applications, however, only the region close to the extremal particles is relevant (the "tip"). We
Externí odkaz:
http://arxiv.org/abs/2006.15132
The Brownian bees model is a branching particle system with spatial selection. It is a system of $N$ particles which move as independent Brownian motions in $\mathbb{R}^d$ and independently branch at rate 1, and, crucially, at each branching event, t
Externí odkaz:
http://arxiv.org/abs/2006.06486
We study several models of growth driven by innovation and imitation by a continuum of firms, focusing on the interaction between the two. We first investigate a model on a technology ladder where innovation and imitation combine to generate a balanc
Externí odkaz:
http://arxiv.org/abs/2006.06315
We study a free boundary problem for a parabolic partial differential equation in which the solution is coupled to the moving boundary through an integral constraint. The problem arises as the hydrodynamic limit of an interacting particle system invo
Externí odkaz:
http://arxiv.org/abs/2005.09384