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math-ph2026
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…
math-ph2025
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…
math-ph2025
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…