Zobrazeno 1 - 10
of 116
pro vyhledávání: '"Huveneers, François"'
We prove that in strongly disordered, interacting, quantum chains, the conductance of a chain of length $L$ vanishes faster than $1/L$. This means that transport is anomalous in such chains. This phenomenon was first claimed in \cite{Basko2006,gornyi
Externí odkaz:
http://arxiv.org/abs/2408.04338
We establish rigorous bounds on dissipative transport in the disordered Klein-Gordon chain with quartic on-site potential, governed by a parameter $\lambda$. At $\lambda = 0$, the chain is harmonic and transport is fully suppressed by Anderson locali
Externí odkaz:
http://arxiv.org/abs/2308.11243
We study the breakdown of Anderson localization in the one-dimensional nonlinear Klein-Gordon chain, a prototypical example of a disordered classical many-body system. A series of numerical works indicate that an initially localized wave packet sprea
Externí odkaz:
http://arxiv.org/abs/2308.10572
This paper originates from lectures delivered at the summer school "Fundamental Problems in Statistical Physics XV" in Bruneck, Italy, in 2021. We give a brief and limited introduction into ergodicity-breaking induced by disorder. As the title sugges
Externí odkaz:
http://arxiv.org/abs/2308.08462
Autor:
Hannani, Amirali, Huveneers, François
We derive Euler equations from a Hamiltonian microscopic dynamics. The microscopic system is a one-dimensional disordered harmonic chain, and the dynamics is either quantum or classical. This chain is an Anderson insulator with a symmetry protected m
Externí odkaz:
http://arxiv.org/abs/2209.06645
We study the behavior of a tracer particle driven by a one-dimensional fluctuating potential, defined initially as a Brownian motion, and evolving in time according to the heat equation. We obtain two main results. First, in the short time limit, we
Externí odkaz:
http://arxiv.org/abs/2012.08394
Autor:
Huveneers, François, Lukkarinen, Jani
Publikováno v:
Phys. Rev. Research 2, 022034 (2020)
We investigate the emergence of an astonishingly long pre-thermal plateau in a classical phonon field, here a harmonic chain with on-site pinning. Integrability is broken by a weak anharmonic on-site potential with strength $\lambda$. In the small $\
Externí odkaz:
http://arxiv.org/abs/2002.10868
We establish rigorously that transport is slower than diffusive for a class of disordered one-dimensional Hamiltonian chains. This is done by deriving quantitative bounds on the variance in equilibrium of the energy or particle current, as a function
Externí odkaz:
http://arxiv.org/abs/1909.07322
We review the mechanism for transport in strongly anharmonic chains of oscillators near the atomic limit where all oscillators are decoupled. In this regime, the motion of most oscillators remains close to integrable, i.e. quasi-periodic, on very lon
Externí odkaz:
http://arxiv.org/abs/1904.07742
Autor:
Huveneers, François, Theil, Elias
We study mathematically the equilibrium properties of the Bose-Hubbard Hamiltonian in the limit of a vanishing hopping amplitude. This system conserves the energy and the number of particles. We establish the equivalence between the microcanonical an
Externí odkaz:
http://arxiv.org/abs/1903.12438