Gravitating polarons in Bose–Einstein condensate: a contribution to the dark matter substance?
Ulugh Beg Astronomical Institute, Astronomy St. 33, 100052, Tashkent, Uzbekistan
2 Tashkent Institute of Irrigation and Agricultural Mechanization Engineering, Kori Niyozi 39, 100000, Tashkent, Uzbekistan
3 Samarkand branch of Tashkent State Agrarian University, A. Temur 7, 191200, Okdaryo, Samarkand, Uzbekistan
4 Samarkand State University, University avenue 15, 140104, Samarkand, Uzbekistan
5 National University of Uzbekistan, 100174, Tashkent, Uzbekistan
6 Department of Physical Chemistry, University of the Basque Country UPV/EHU, 48080, Bilbao, Spain
7 IKERBASQUE Basque Foundation for Science, Bilbao, Spain
8 EHU Quantum Center, University of the Basque Country, UPV/EHU, Bilbao, Spain
Accepted: 18 July 2022
Published online: 2 August 2022
Long-sought relations between the properties of mysterious dark matter in astrophysics and the physics of atomic low-temperature Bose–Einstein condensates (BECs) can shed light on puzzling properties of both systems. Aiming at finding possible analogies, here we consider polaronic effects in the non-self-gravitating BECs as a model of a possible contribution to the dark matter-related interactions. We show for various system parameters how the presence of the condensate modifies the “gravitational” interaction between external particles embedded in the BEC and their corresponding dynamics, concentrating on the fall time problem. In addition, we analyze the effects of the condensate dynamics in a time-dependent potential on the motion of “gravitating” embedded particles. We show that depending on the interactions in the system, one can expect both a drag of the particles by moving condensate and anti-drag backflow effect.
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