Momentum correlations as signature of sonic Hawking radiation in Bose-Einstein condensates

A. Fabbri ¹ N. Pavloff ²

SciPost Phys., 2018, 4, pp.019. 〈10.21468/SciPostPhys.4.4.019〉

We study the two-body momentum correlation signal in a quasi one dimensional Bose-Einstein condensate in the presence of a sonic horizon. We identify the relevant correlation lines in momentum space and compute the intensity of the corresponding signal. We consider a set of different experimental procedures and identify the specific issues of each measuring process. We show that some inter-channel correlations, in particular the Hawking quantum-partner one, are particularly well adapted for witnessing quantum non-separability, being resilient to the effects of temperature and/or quantum quenches.

• 1. LPT – Laboratoire de Physique Théorique d’Orsay [Orsay]
• 2. LPTMS – Laboratoire de Physique Théorique et Modèles Statistiques