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quant-ph2025
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 $…
quant-ph2024
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…