Correlations between a Hawking particle and its partner in a 1 +1 D BoseEinstein condensate analog black hole
Abstract
The Fourier transform of the densitydensity correlation function in a BoseEinstein condensate (BEC) analog black hole is a useful tool to investigate correlations between the Hawking particles and their partners. It can be expressed in terms of ⟨^{a}out_{^}_{up}^{ext} ^{a}out_{^}_{up}^{int}⟩ , where ^{a}out_{^}_{up}^{ext} is the annihilation operator for the Hawking particle and ^{a}out_{^}_{up}^{int} is the corresponding one for the partner. This basic quantity is calculated for three different models for the BEC flow. It is shown that in each model the inclusion of the effective potential in the mode equations makes a significant difference. Furthermore, particle production induced by this effective potential in the interior of the black hole is studied for each model and shown to be nonthermal. An interesting peak that is related to the particle production and is present in some models is discussed.
 Publication:

Physical Review D
 Pub Date:
 November 2020
 DOI:
 10.1103/PhysRevD.102.105005
 arXiv:
 arXiv:2008.01433
 Bibcode:
 2020PhRvD.102j5005D
 Keywords:

 General Relativity and Quantum Cosmology;
 Condensed Matter  Quantum Gases;
 High Energy Physics  Theory
 EPrint:
 Some changes and corrections in the text, cosmetic changes in two figures, one reference added, Phys. Rev. D version, 24 pages, 8 figures