2021/03/01 by Giacomo Gradenigo, Stefano Iubini, Roberto Livi +1
Mathematics · Physics and Astronomy · #Canonical ensemble #Condensation #Delocalized electron #Grand canonical ensemble #Mathematical physics #Mathematics #Microcanonical ensemble #Monte Carlo method #Nonlinear Photonic Systems #Nonlinear Schrödinger equation #Nonlinear system #Partition function (quantum field theory) #Phase transition #Physics #Quantum mechanics #Spectroscopy and Quantum Chemical Studies #Statistical mechanics #Statistical physics #Strong Light-Matter Interactions #Thermodynamics #cond-mat.stat-mech
paper · pdf · doi:10.1140/epje/s10189-021-00046-5
published as Eur. Phys. J. E 44, 29 (2021) · 6 pages, 3 figures
openalex publication_date 2021/03/01 · arxiv created 2021/06/07 · arxiv updated 2021/06/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The thermodynamics of the discrete nonlinear Schrödinger 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.