Giacomo GradenigoStefano IubiniRoberto LiviSatya N. Majumdar 1 Satya Majumdar 1
Giacomo Gradenigo, Stefano Iubini, Roberto Livi, Satya N. Majumdar, Satya Majumdar. Condensation transition and ensemble inequivalence in the discrete nonlinear Schrödinger equation. European Physical Journal E: Soft matter and biological physics, EDP Sciences: EPJ, 2021, 44 (3), ⟨10.1140/epje/s10189-021-00046-5⟩. ⟨hal-03388432⟩
The thermodynamics of the discrete nonlinear Schr\ »odinger equation in the vicinity of infinite temperature is explicitly solved in the microcanonical ensemble by means of large-deviation techniques. A first-order phase transition between a thermalized phase and a condensed (localized) one occurs at the infinite-temperature line. Inequivalence between statistical ensembles characterizes the condensed phase, where the grand-canonical representation does not apply. The control over finite size corrections of the microcanonical partition function allows to design an experimental test of delocalized negative-temperature states in lattices of cold atoms.
- 1. LPTMS – Laboratoire de Physique Théorique et Modèles Statistiques