Stability of the homogeneous Bose-Einstein condensate at large gas parameter
Abdulla RakhimovInstitute of Nuclear Physics, Tashkent 702132, UzbekistanChul Koo KimInstitute of Physics and Applied Physics, Yonsei University, Seoul 120-749, Republic of KoreaSang‐Hoon KimDivision of Liberal Arts and Sciences, Mokpo National Maritime University, Mokpo 530-729, Republic of KoreaJae Hyung YeeInstitute of Physics and Applied Physics, Yonsei University, Seoul 120-749, Republic of Korea
ABI
Аннотация
The properties of the uniform Bose gas are studied within the optimized variational perturbation theory (Gaussian approximation) in a self-consistent way. It is shown that the atomic Bose-Einstein condensate with a repulsive interaction becomes unstable when the gas parameter $\ensuremath{\gamma}=\ensuremath{\rho}{a}^{3}$ exceeds a critical value ${\ensuremath{\gamma}}_{crit}\ensuremath{\approx}0.01$. The quantum corrections beyond the Bogoliubov-Popov approximation to the energy density, chemical potential, and pressure in powers of $\sqrt{\ensuremath{\gamma}}$ expansions are presented.
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