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Journal Articles European Physical Journal E: Soft matter and biological physics Year : 2021

Condensation transition and ensemble inequivalence in the discrete nonlinear Schrödinger equation

Giacomo Gradenigo
Stefano Iubini
  • Function : Author
Roberto Livi

Abstract

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.

Dates and versions

hal-03388432 , version 1 (20-10-2021)

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Giacomo Gradenigo, Stefano Iubini, Roberto Livi, Satya N. Majumdar. Condensation transition and ensemble inequivalence in the discrete nonlinear Schrödinger equation. European Physical Journal E: Soft matter and biological physics, 2021, 44 (3), ⟨10.1140/epje/s10189-021-00046-5⟩. ⟨hal-03388432⟩
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