TY  - JOUR
AU  - Dudley, R. A.
AU  - Fabbri, A.
AU  - Anderson, P. R.
AU  - Balbinot, R.
PY  - 2020
DA  - 2020//
TI  - Correlations between a Hawking particle and its partner in a 1+1D Bose-Einstein condensate analog black hole
T2  - Phys. Rev. D
JO  - Physical Review D
SP  - 105005
EP  - 12pp
VL  - 102
IS  - 10
PB  - Amer Physical Soc
AB  - The Fourier transform of the density-density correlation function in a Bose-Einstein 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 <(out)(a) over cap (ext)(up) (out)(a) over cap (int)(up)> where (out)(a) over cap (ext)(up) is the annihilation operator for the Hawking particle and (out)(a) over cap (int)(up) 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.
SN  - 2470-0010
UR  - https://arxiv.org/abs/2008.01433
UR  - https://doi.org/10.1103/PhysRevD.102.105005
DO  - 10.1103/PhysRevD.102.105005
LA  - English
N1  - WOS:000584963300005
ID  - Dudley_etal2020
ER  -