Starts 17 Jun 2025 11:00
Ends 17 Jun 2025 12:00
Central European Time
CMSP Seminar (Joint ICTP/SISSA Statistical Physics): Localization transition and ensemble inequivalence in two paradigmatic cases: the Discrete Non-Linear Schroedinger Equation and Bose-Einstein condensation
Luigi Stasi Seminar Room (Leonardo Building) and via Zoom
Giacomo Gradenigo
(Gran Sasso Science Institute)
Abstract:
We explain how accurate large-deviations estimates allow to compute the microcanonical partition function of the Discrete Non-Linear Schroedinger Equation (DNLSE), revealing all the peculiarities of the high-energy localized phase, from ensemble inequivalence to the mixed first/second order nature of the transition.
The same large-deviation approach is then applied to the calculation of the canonical partition function for free bosons, highlighting the analogies and differences between the transition in the DNLSE and Bose-Einstein condensation.
The same large-deviation approach is then applied to the calculation of the canonical partition function for free bosons, highlighting the analogies and differences between the transition in the DNLSE and Bose-Einstein condensation.