Manifestation of a gap due to the exchange energy in a spinor condensate

摘要: Abstract We investigate the dynamic response of population transfer between two components a finite temperature spinor Bose condensed gas to time-dependent coupling potential. Comparison results obtained in Bogoliubov–Popov approximation (BPA) and generalized random phase (GRPA) shows noticeable discrepancies. In particular, inter-component current function calculated GRPA displays gapped spectrum due exchange interaction energy whereas corresponding density is gapless. verify that, contrary BPA, preserves S U ( 2 ) symmetry f -sum rule associated gas. order validate approximation, we propose an experimental setup that allows observation predicted gap.