2 citations · 3 across the 8 of their papers we have counts for
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Stark localization of interacting particles
Wojciech De Roeck, Amirali Hannani, Alessio Lerose +1
We consider N interacting quantum particles on a one-dimensional lattice, and subjected to an external linear potential. For N = 1, the corresponding Hamiltonian is explicitly diag…
Many-body Localization and Poisson statistics in the Quantum Sun model
Wojciech De Roeck, Amirali Hannani
The Quantum Sun model is a many-body Hamiltonian model of interacting spins arranged on the half-line (or the line). Spins at distance from the origin are coupled to the rest o…
Sub-Power Law Decay of the Wave Packet Maximum in Disordered Anharmonic Chains
Wojciech De Roeck, Lydia Giacomin, Amirali Hannani +1
We show that the peak of an initially localized wave packet in one-dimensional nonlinear disordered chains decays more slowly than any power law of time. The systems under investig…
Derivation of Euler equations from quantum and classical microscopic dynamics
Amirali Hannani, François Huveneers
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 clas…
A stochastic thermalization of the Discrete Nonlinear Schrödinger Equation
Amirali Hannani, Stefano Olla
We introduce a mass conserving stochastic perturbation of the discrete nonlinear Schrödinger equation that models the action of a heat bath at a given temperature. We prove that th…
Hydrodynamic limit for a disordered quantum harmonic chain
Amirali Hannani
In this note, we study the hydrodynamic limit, in the hyperbolic space-time scaling, for a one-dimensional unpinned chain of quantum harmonic oscillators with random masses. To the…