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There is compelling evidence that the most massive galaxies in the Universestopped forming stars due to the time-integrated feedback from their centralsuper-massive black holes (SMBHs). However, the exact quenching mechanism isnot yet understood, because local massive galaxies were quenched billions ofyears ago. We present JWST/NIRSpec integral-field spectroscopy observations ofGS-10578, a massive, quiescent galaxy at redshift z=3.064. From the spectrum weinfer that the galaxy has a stellar mass of $M_*=1.6\pm0.2 \times 10^{11}$ MSunand a dynamical mass $M_{\rm dyn}=2.0\pm0.5 \times 10^{11}$ MSun. Half of itsstellar mass formed at z=3.7-4.6, and the system is now quiescent, with thecurrent star-formation rate SFR<9 MSun/yr. We detect ionised- and neutral-gasoutflows traced by [OIII] emission and NaI absorption. Outflow velocities reach$v_{\rm out}\approx$1,000 km/s, comparable to the galaxy escape velocity andtoo high to be explained by star formation alone. GS-10578 hosts an ActiveGalactic Nucleus (AGN), evidence that these outflows are due to SMBH feedback.The outflow rates are 0.14-2.9 and 30-300 MSun/yr for the ionised and neutralphases, respectively. The neutral outflow rate is ten times higher than theSFR, hence this is direct evidence for ejective SMBH feedback, withmass-loading capable of interrupting star formation by rapidly removing itsfuel. Stellar kinematics show ordered rotation, with spin parameter$\lambda_{Re}=0.62\pm0.07$, meaning GS-10578 is rotation supported. This studyshows direct evidence for ejective AGN feedback in a massive, recently quenchedgalaxy, thus clarifying how SMBHs quench their hosts. Quenching can occurwithout destroying the stellar disc.

A fast-rotator post-starburst galaxy quenched by supermassive black-hole feedback at z=3