HAYSTAC is the first axion dark matter haloscope to explore the axion model band above 20 micro-eV, excluding axions in the range 23.15 μeV < m_a < 24.0 μeV in Phase 1. Within a high Q cavity immersed in a strong magnetic field, axions are converted to microwave photons. The microwave frequency where HAYSTAC operates is particularly adapted to exploit the tools of quantum metrology. Advances in these tools have led to unprecedented degrees of microwave squeezing which can be exploited to speed up the search for axion dark matter. In this talk, I will give an overview of Phase 2 of the HAYSTAC experiment. I will describe the squeezed state receiver system which is integrated into the experiment and the current status of HAYSTAC.