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Understanding Hawking radiation from simple models of atomic Bose-Einstein condensates

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.

preprint2012arXivOpen access
R. BalbinotI. CarusottoA. FabbriC. MayoralA. Recati
gr-qchep-thcond-mat.quant-gas
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R. BalbinotI. CarusottoA. FabbriC. MayoralA. Recati

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