46 citations · 71 across the 2 of their papers we have counts for
3 papers
quant-ph2026
Modified logarithmic Sobolev inequality for 1D non-commuting Hamiltonians
Ángela Capel, David Pérez-García, Matteo Scandi
Given a finite-range, non-commuting Hamiltonian on a 1D chain of finite spins, we prove a modified logarithmic Sobolev inequality with constant for the heat-bath dyna…
quant-ph2022★ 46 cited
Rapid thermalization of spin chain commuting Hamiltonians
Ivan Bardet, Ángela Capel, Li Gao +3
We prove that spin chains weakly coupled to a large heat bath thermalize rapidly at any temperature for finite-range, translation-invariant commuting Hamiltonians, reaching equilib…
quant-ph2021★ 25 cited
Entropy decay for Davies semigroups of a one dimensional quantum lattice
Ivan Bardet, Ángela Capel, Li Gao +3
Given a finite-range, translation-invariant commuting system Hamiltonians on a spin chain, we show that the Davies semigroup describing the reduced dynamics resulting from the join…