Alain Joye: Adiabatic Lindbladian Evolution with Small Dissipators

vendredi 20 sept. 2024, 10:00 → 12:00 Europe/Paris

1st floor, Salle Fokko Du Cloux (Institut Camille Jordan)

We consider a time-dependent small quantum system weakly coupled to an environment, whose effective dynamics we address by means of a Lindblad equation. We assume the Hamiltonian part of the Lindbladian is slowly varying in time and the dissipator part has small amplitude. With an intent to assess the validity of adiabatic quantum control in presence of dissipation, we study the properties of the evolved state of the small system as the adiabatic parameter and coupling constant both go to zero, in various asymptotic regimes.