  We present a new method for imposing a realistic equation of state in
anisotropic hydrodynamics. The method relies on the introduction of a single
finite-temperature quasiparticle mass which is fit to lattice data. By taking
moments of the Boltzmann equation, we obtain a set of coupled partial
differential equations which can be used to describe the 3+1d spacetime
evolution of an anisotropic relativistic system. We then specialize to the case
of a 0+1d system undergoing boost-invariant Bjorken expansion and subject to
the relaxation-time approximation collisional kernel. Using this setup, we
compare results obtained using the new quasiparticle equation of state method
with those obtained using the standard method for imposing the equation of
state in anisotropic hydrodynamics. We demonstrate that the temperature
evolution obtained using the two methods is nearly identical and that there are
only small differences in the pressure anisotropy. However, we find that there
are significant differences in the evolution of the bulk pressure correction.
