Hawking Radiation and Non-equilibrium Quantum Critical Current Noise
Abstract
The dynamical scaling of quantum critical systems in thermal equilibrium may be inherited in the driven steady-state, leading to universal out-of-equilibrium behaviour. This attractive notion has been demonstrated in just a few cases. We demonstrate how holography - a mapping between the quantum critical system and a gravity dual - provides an illuminating perspective and new results. Non-trivial out-of-equilibrium universality is particularly apparent in current noise, which is dual to Hawking radiation in the gravitational system. We calculate this in a 2-dimensional system driven by a strong in-plane electric field and deduce a universal scaling function interpolating between previously established equilibrium and far-from-equilibrium current noise. Since this applies at all fields, out-of-equilibrium experiments no longer require very high fields for comparison with theory.
Keywords
Cite
@article{arxiv.1203.4908,
title = {Hawking Radiation and Non-equilibrium Quantum Critical Current Noise},
author = {Julian Sonner and Andrew G. Green},
journal= {arXiv preprint arXiv:1203.4908},
year = {2015}
}
Comments
revised version to appear in PRL, 5 pages