  Droplet states of ultracold gases which are stabilized by fluctuations have
recently been observed for dipolar and two component Bose gases. These systems
present a novel form of equilibrium where an instability at the mean field
level is arrested by higher order correlations making the droplet states
sensitive probes of fluctuations. In a recent paper, we argued that thermal
fluctuations can play an important role for droplets even at low temperatures
where the non-condensed density is much smaller than the condensate density. We
used the Hartree-Fock-Bogoliubov theory together with local density
approximation for fluctuations to obtain a generalized Gross Pitaevskii (GP)
equation and solved it with a Gaussian variational ansatz to show that the
transition between the low density and droplet states can be significantly
modified by the temperature. In this paper, we first solve the same GP equation
numerically with a time splitting spectral method to check the validity of the
Gaussian variational ansatz. Our numerical results are in good agreement with
the Gaussian ansatz for a large parameter regime and show that the density of
the gas is most strongly modified by temperature near the abrupt transition
between a pancake shaped cloud and the droplet. For cigar shaped condensates,
as in the recent Er experiments, the dependence of the density on temperature
remains quite small throughout the smooth transition. We then consider the
effect of temperature on the collective oscillation frequencies of the droplet
using both a time dependent Gaussian variational ansatz and real time numerical
evolution. We find that the oscillation frequencies depend significantly on the
temperature close to the transition for the experimentally relevant temperature
regime ($\simeq 100$nK).
