Rotating sonic black hole from Spin-orbit coupled Bose-Einstein condensate

We show that an analog of rotating black hole namely, BTZ type can be realized in a quasi-2D spin-orbit coupled Bose-Einstein condensate without using any external rotation. In hydrodynamic approximation, the equation for phase fluctuations in the total density modes, that describes the phonon field is similar to the scalar field equation in 2 + 1 dimensions whose space-time metric can be identified with the metric of BTZ black hole. By time evolving the condensate in a suitably created laser-driven potential, we show that the moving condensate forms such rotating black hole in an annular region bounded by inner and outer event horizon as well as elliptical ergo surfaces. We identify the supersonic and subsonic zones and analyze the self-amplifying Hawking radiation that strongly depends on the spin-orbit coupled anisotropy. We calculate the density-density correlation function and show the distribution of the analog Hawking temperature on the event horizon.

Reference:
[1] Inderpreet Kaur and Sankalpa Ghosh, Rotating sonic black hole from Spin-orbit coupled Bose-Einstein condensate, arXiv:1810.04860v1.