Critical temperature and condensate fraction of Bose-Einstein condensation in the optical lattice are studied. The results show that the critical temperature in optical lattices can be characterized with an equivalent...Critical temperature and condensate fraction of Bose-Einstein condensation in the optical lattice are studied. The results show that the critical temperature in optical lattices can be characterized with an equivalent critical temperature in a single lattice, which provide a fast evaluation of critical temperature and condensate fraction of Bose-Einstein condensation confined with pure optical trap. Critical temperature can be estimated with an equivalent critical temperature. It is predicted that critical temperature is proportional to q ?3/2 in q number lattices for superfluid state and should be equal to that in a single lattic for Mott insulate state. Required potential depth or Rabi frequency and maximum atom number in the lattices both for superfluid state and Mott state are presented based on views of thermal mechanical statistics.展开更多
The critical temperature of Bose-Einstein condensation at minimum momentum state for weakly interacting Bose gases in a power-law potential and the deviation of the critical temperature from ideal bose gas are studied...The critical temperature of Bose-Einstein condensation at minimum momentum state for weakly interacting Bose gases in a power-law potential and the deviation of the critical temperature from ideal bose gas are studied.The effect of interaction on the critical temperature is ascribed to the ratiaoα/I_(c),whereαis the scattering length for s wave andI_(c) is de Broglie wavelength at critical temperature.Asα/I_(c)<<1/(2p)^(2),the interaction is negligible.The presented deviation of the critical temperature for three dimensional harmonI_(c) potential is well in agreement with recent measurement of critical temperature for ^(87)Rb bose gas trapped in a harmonI_(c) well.展开更多
文摘Critical temperature and condensate fraction of Bose-Einstein condensation in the optical lattice are studied. The results show that the critical temperature in optical lattices can be characterized with an equivalent critical temperature in a single lattice, which provide a fast evaluation of critical temperature and condensate fraction of Bose-Einstein condensation confined with pure optical trap. Critical temperature can be estimated with an equivalent critical temperature. It is predicted that critical temperature is proportional to q ?3/2 in q number lattices for superfluid state and should be equal to that in a single lattic for Mott insulate state. Required potential depth or Rabi frequency and maximum atom number in the lattices both for superfluid state and Mott state are presented based on views of thermal mechanical statistics.
文摘The critical temperature of Bose-Einstein condensation at minimum momentum state for weakly interacting Bose gases in a power-law potential and the deviation of the critical temperature from ideal bose gas are studied.The effect of interaction on the critical temperature is ascribed to the ratiaoα/I_(c),whereαis the scattering length for s wave andI_(c) is de Broglie wavelength at critical temperature.Asα/I_(c)<<1/(2p)^(2),the interaction is negligible.The presented deviation of the critical temperature for three dimensional harmonI_(c) potential is well in agreement with recent measurement of critical temperature for ^(87)Rb bose gas trapped in a harmonI_(c) well.
