Abstract
The thermal conductivity of a trapped Bose condensed gas is calculated by using the Kubo formula approach. By evaluating the appropriate self-energies of the system the thermal relaxation time is calculated. Below the Bose–Einstein condensation temperature in addition to the relaxation time due to collision between non-condensate atoms (τ22) we include the contribution from the interaction between condensate and non-condensate atoms (τ12) in the thermal relaxation time. In a trapped Bose gas the contribution of the relaxation time (τ12) is always important, since the condensate density at the central region of a trap is much larger than the density of the thermal cloud even at temperatures near the transition temperature. Above the Bose–Einstein condensation temperature the only term present is τ22 and the normal thermal conductivity coefficient is obtained.
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