Localization transition in the discrete nonlinear Schrödinger equation: ensembles inequivalence and negative temperatures

DOI10.1088/1742-5468/abda26OpenAlexW3126816421MaRDI QIDQ5857508

Roberto Livi, Satya N. Majumdar, Stefano Iubini, Giacomo Gradenigo

Publication date: 1 April 2021

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.07461

zbMATH Keywords

nonlinear Schrödinger equationergodicity breakingBose Einstein condensationlarge deviation theory and Griffiths singularities

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Related Items (9)

Chaos and localization in the discrete nonlinear Schrödinger equation ⋮ Frozen dynamics of a breather induced by an adiabatic invariant ⋮ Condensation transition in large deviations of self-similar Gaussian processes with stochastic resetting ⋮ A stochastic thermalization of the discrete nonlinear Schrödinger equation ⋮ Statistical mechanics of systems with negative temperature ⋮ Symplectic quantization. I: Dynamics of quantum fluctuations in a relativistic field theory ⋮ First-order condensation transition in the position distribution of a run-and-tumble particle in one dimension ⋮ Negative-temperature Fourier transport in one-dimensional systems ⋮ Localization in the discrete non-linear Schrödinger equation and geometric properties of the microcanonical surface

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