Gibbs sampling for bosonic system – Simon Becker (ETH Zürich)
martedì 3 giu 2025 2:00 PM — 3:00 PM Sala Galilei (Aula 131, Dipartimento di Fisica, Edificio C, piano terra) Seminars
We develop a rigorous framework for quantum Gibbs sampling in infinite- dimensional bosonic systems using Dirichlet forms to define ergodic, completely positive quantum Markov semigroups. Our construction enables efficient thermalization dynamics for systems with unbounded Hamiltonians and supports explicit implementations via regularized creation and annihilation operators. Applications include Gaussian models, the Bose-Hubbard model, and systems with magnetic fields, offering analytical and computational tools for simulating thermal states in continuous-variable quantum systems. With C. Rouze and R. Salzmann