Description
The thermalization dynamics of quantum spin systems, in certain regimes, is described by an ergodic quantum Markov semigroup, whose mixing time can be controlled by estimating the spectral gap of its generator. In the case of semigroups which satisfy a strong quantum detailed balance condition, I will show how to estimate the spectral gap of the generator via a correlation decay measure on the invariant state. Examples of models for which the correlation decay can be explicitly computed are every 1D model and the 2D quantum double models by Kitaev.
Based on a joint work with D. Pérez-García and A. Pérez-Hernández (arXiv:2505.08991).
Primary authors
Angelo Lucia
(Politecnico di Milano)
Prof.
David Pérez-García
(Universidad Complutense de Madrid / Instituto de Ciencias Matemáticas)
Prof.
Antonio Pérez-Hernández
(UNED)
