Scaling properties of work fluctuations after quenches near quantum transitions. (25th February 2019)

• Record Type: Journal Article
• Authors: Nigro, Davide; Rossini, Davide; Vicari, Ettore
• Is Part Of: Journal of statistical mechanics. (2019:Feb.)
• Publication Date: 2019-02-25
• Subjects: 3 -- 9 -- 2; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/ab00e2
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: We study the scaling properties of the statistics of the work done on a generic many-body system at a quantum phase transition of any order and type, arising from quenches of a driving control parameter. For this purpose we exploit a dynamic finite-size scaling framework. Namely, we put forward the existence of a nontrivial finite-size scaling limit for the work distribution, defined as the large-size limit when appropriate scaling variables are kept fixed. The corresponding scaling behaviors are thoroughly verified by means of analytical and numerical calculations in two paradigmatic many-body systems as the quantum Ising model and the Bose–Hubbard model.