AI Article Synopsis
- We develop fluctuation relations for many-body quantum systems in a generalized Gibbs ensemble under nonequilibrium conditions.
- We find generalizations of the Tasaki-Crooks and Jarzynski relations by studying isolated integrable systems, focusing on the one-dimensional quantum Ising model with a sudden field change.
- Our results reveal that the work done and irreversible entropy exhibit features of quantum criticality, and we explore the implications of these relations for understanding thermalization.
Article Abstract
We derive fluctuation relations for a many-body quantum system prepared in a generalized Gibbs ensemble subject to a general nonequilibrium protocol. By considering isolated integrable systems, we find generalizations to the Tasaki-Crooks and Jarzynski relations. Our approach is illustrated by studying the one-dimensional quantum Ising model subject to a sudden change in the transverse field, where we find that the statistics of the work done and irreversible entropy show signatures of quantum criticality. We discuss these fluctuation relations in the context of thermalization.
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| http://dx.doi.org/10.1103/PhysRevE.90.022107 | DOI Listing |
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