4 papers
Logarithmic lightcones in the multiparticle Anderson model with sparse interactions
Daniele Toniolo, Sougato Bose
We prove that the dynamics of the one-dimensional model with random magnetic field perturbed by a sparse set of terms with a large coupling constant gives rise t…
Dynamics of many-body localized systems: logarithmic lightcones and -law of -Rényi entropies
Daniele Toniolo, Sougato Bose
In the context of the Many-Body-Localization phenomenology we consider arbitrarily large one-dimensional local spin systems, the XXZ model with random magnetic field is a prototypi…
The dynamical -Rényi entropies of local Hamiltonians grow at most linearly in time
Daniele Toniolo, Sougato Bose
We consider a generic one dimensional spin system of length , arbitrarily large, with strictly local interactions, for example nearest neighbor, and prove that the dynamical $…
Stability of slow Hamiltonian dynamics from Lieb-Robinson bounds
Daniele Toniolo, Sougato Bose
We rigorously show that a local spin system giving rise to a slow Hamiltonian dynamics is stable against generic, even time-dependent, local perturbations. The sum of these perturb…