Abstract
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.
Highlights
We study the two-body momentum correlation signal in a quasi one dimensional BoseEinstein condensate in the presence of a sonic horizon
We show that some inter-channel correlations, in particular the Hawking quantum-partner one, are well adapted for witnessing quantum non-separability, being resilient to the effects of temperature and/or quantum quenches
In this work we have investigated in detail the two-body momentum correlation in a quasi 1D BoseEinstein condensate (BEC) in the presence of a sonic horizon
Summary
While the possibility of quantizing gravitation remains elusive, some noticeable progresses have been made in the description of the interaction between the space-time metric and a quantum field. [18] are robust with respect to this more general treatment, and that new correlation lines appear which, at variance with the previous ones, show no signature of non-separability Another important motivation of our work is the recent experimental study of Steinhauer [23] who studied an acoustic BEC black hole in one of the models discussed below (the so called “waterfall model” [24]) and presented results on entanglement similar to the ones discussed below. Some technical points are presented in the Appendices: in Appendix A we discuss a rigorous windowed Fourier analysis which induces important restrictions to the measurement process; in Appendix B we give the form of the most general correlation functions and in Appendix C we discuss the specific case of a subsonic flow in the presence of a localized external potential
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