Manuele Tettamanti — Università degli Studi dell'Insubria #
Hawking radiation in BECs: an exactly solvable model #
Bose-Einstein condensates (BECs) are one of the most promising experimental setups used in the field of analogue gravity in order to detect the Hawking effect (J. Steinhauer, Nature Physics 12, 2016). Exploiting a peculiar state of hard core bosons in 1D (i.e. the Tonks-Girardeau gas) we are able to obtain the exact solution of a BEC flowing against an obstacle and we examine it in the framework of sonic black holes; in this limit we recover Hawking result without making use of the gravitational analogy and we find that a precise correspondence between the emission of phonons in the upstream region and the Hawking-like mechanism requires additional conditions to be met. Finally we study the correlations between the Hawking quanta and the in-falling partner, recovering the expected pattern (A. Parola et al., arXiv:1703.05041).