Understanding Hawking radiation from simple models of atomic Bose-Einstein condensates
General Relativity and Quantum Cosmology
2015-06-05 v1 Quantum Gases
High Energy Physics - Theory
Abstract
This chapter is an introduction to the Bogoliubov theory of dilute Bose condensates as applied to the study of the spontaneous emission of phonons in a stationary condensate flowing at supersonic speeds. This emission process is a condensed-matter analog of Hawking radiation from astrophysical black holes but is derived here from a microscopic quantum theory of the condensate without any use of the analogy with gravitational systems. To facilitate physical understanding of the basic concepts, a simple one-dimensional geometry with a stepwise homogenous flow is considered which allows for a fully analytical treatment.
Keywords
Cite
@article{arxiv.1207.2660,
title = {Understanding Hawking radiation from simple models of atomic Bose-Einstein condensates},
author = {R. Balbinot and I. Carusotto and A. Fabbri and C. Mayoral and A. Recati},
journal= {arXiv preprint arXiv:1207.2660},
year = {2015}
}
Comments
41 pages. to appear in the proceedings of the IX SIGRAV School on 'Analogue Gravity', Como (Italy), May 2011