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arXiv · 1810.04614

Scaling properties of work fluctuations after quenches at quantum transitions

Davide Nigro·Davide Rossini·Ettore Vicari
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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.

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Davide Nigro, Davide Rossini, Ettore Vicari. 2018-10-10. Scaling properties of work fluctuations after quenches at quantum transitions. https://doi.org/10.1088/1742-5468%2Fab00e2

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