From the H theorem to adiabaticity shortcuts
1 : Laboratoire de Physique Théorique et Modèles Statistiques
(LPTMS)
-
Website
LPTMS
Université Paris-Sud -
France
2 : Laboratoire Collisions Agregats Reactivite
(LCAR)
-
Website
Université Paul Sabatier [UPS] - Toulouse III, CNRS : UMR5589, Université Paul Sabatier (UPS) - Toulouse III
31062 Toulouse cedex 04 - France -
France
Inspired from H-theorem requirements, a novel class of exact solutions to the Boltzmann equation is uncovered, for both the classical and quantum formulations. These solutions, valid for arbitrary collision laws, hold for time-dependent confinement. We exploit them, in a reverse-engineering perspective, to work out a protocol that shortcuts any adiabatic transformation between two equilibrium states in an arbitrarily short time span, for an interacting system. Particle simulations corroborate the analytical predictions.
| Subject : | : | oral |
| Topics | : | Statistical mechanics and computation of large deviation rate functions |
| PDF version | : |  PDF version |
