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Bulletin of the American Physical Society

Stability of a Unitary Homogeneous Bose-Einstein Condensate

Robert P. Smith, Christoph Eigen, Adam Barker, Raphael Lopes, Nir Navon, Zoran Hadzibabic

Published May 24, 2016• 0 citations
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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.