https://doi.org/10.1140/epjd/s10053-023-00614-8
Regular Article – Cold Matter and Quantum Gases
Hugenholtz–Pines relations and the critical temperature of a Rabi coupled binary Bose system
1
Theoretical Nuclear Physics Laboratory, Institute of Nuclear Physics, 100214, Ulugbek, Tashkent, Uzbekistan
2
Condensed Matter Theory, TU Dortmund University, Otto-Hahn-Str. 4, 44227, Dortmund, Germany
b
asliddin.khudoyberdiev@tu-dortmund.de
Received:
8
November
2022
Accepted:
15
February
2023
Published online:
7
March
2023
Using a theoretical field Gaussian approximation, we have studied Rabi coupled binary Bose system at low temperatures. We have derived extended Hugenholtz–Pines relations taking into account one body interaction (e.g. Rabi coupling) and studied the critical temperature 
of Bose–Einstein condensate transition. We have shown that, the shift of due to this interaction cannot exceed 
and goes to a plateau with increasing the parameter 
, where 
is the intensity of the coupling and 
is the critical temperature of the system with 
. Moreover, the shift is always positive and does not depend on the sign of the one body interaction.
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