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. © Springer International Publishing Switzerland 2013.
CITATION STYLE
Balbinot, R., Carusotto, I., Fabbri, A., Mayoral, C., & Recati, A. (2013). Understanding hawking radiation from simple models of atomic Bose-Einstein condensates. Lecture Notes in Physics, 870, 181–219. https://doi.org/10.1007/978-3-319-00266-8_9
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