Soliton diffusion in a Bose-Einstein condensate: A signature of the analogue Hawking radiation

Hang, Chao (State Key Laboratory of Precision Spectroscopy, School of Physical and Material Sciences, East China Normal University, Shanghai, 200062, China) (NYU-ECNU Institute of Physics at NYU Shanghai, Shanghai, 200062, China) ; Gabadadze, Gregory (Department of Physics, New York University, New York, NY, 10003, USA) (NYU-ECNU Institute of Physics at NYU Shanghai, Shanghai, 200062, China) ; Huang, Guoxiang (State Key Laboratory of Precision Spectroscopy, School of Physical and Material Sciences, East China Normal University, Shanghai, 200062, China) (NYU-ECNU Institute of Physics at NYU Shanghai, Shanghai, 200062, China)

10 April 2019

Abstract: The analog Hawking radiation (HR) emanating from a sonic black hole horizon formed in a cigar-shaped Bose-Einstein condensate (BEC) at finite temperature is investigated. In particular, we study the effect of HR on a dark (topological) soliton. We show that, due to thermal fluctuations, the dark soliton in the BEC displays a nonlinear Brownian motion resulting in a specific asymmetric diffusion. Based on numerical simulations we argue that the analog HR formed in the BEC can be detected indirectly through measurement of the dark soliton diffusion.


Published in: Physics letters B (2019)
Published by: Elsevier
DOI: 10.1016/j.physletb.2019.04.008
License: CC-BY-3.0



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