Quantum fluctuation relations for generalized Gibbs ensembles

Speaker: Jordi Mur-Petit
Affiliation: Clarendon Laboratory, University of Oxford, Oxford, UK
Date: Tuesday, 17 May 2016 at 13:30
Location: Seminar Room, Serrano 121 (CFMAC)

Experimental advances in the control and measurement of quantum systems are driving the development of quantum technologies across multiple experimental platforms, from trapped ions and cold atoms, to superconducting circuits, to nanomechanical setups [1].
The need for an accurate understanding of the non-equilibrium dynamics of such microscopic devices and their interactions with the environment has lead to a revival of the field of quantum thermodynamics, including the derivation of fluctuation relations for processes far from equilibrum [2].
Recent work has shown how single quantum systems can be used as probes to extract statistics of the work done in such processes [3], and how this can be used to measure their temperature with precision even in the strongly-interacting regime [4].
In this talk, I will present our extension of these proposals to measuring correlation functions, and on the derivation of more general quantum fluctuation relations for systems with conserved quantities whose equilibrium state is described by a generalized Gibbs ensemble.

[1] G. Kurizki, P. Bertet, Y. Kubo, K. Mølmer, D. Petrosyan, P. Rabl, and J. Schmiedmayer, “Quantum technologies with hybrid systems”, PNAS 110, 3866-3873 (2014).
[2] P. Hänggi and P. Talkner, “The other QFT”, Nature Phys. 11, 108 (2015).
[3] R. Dorner et al., Phys. Rev. Lett. 110, 230601 (2013); L. Mazzola et al., ibid. 110, 230602 (2013);
T. Batalhão et al., ibid. 113, 140601 (2013).
[4] T. H. Johnson et al., arXiv:1508.02992 (2015).