Highly sensitive observations of spider pulsars with FAST Wang, Shuangqiang We present highly sensitive radio observations of two black widow pulsars PSR J2055+3829 and PSR J2051$-$0827 using the Five-hundred-meter Aperture Spherical radio Telescope (FAST). We detect an eclipse with the duration of 12.7\% of the orbital period for PSR J2055+3829, while the radio emission of PSR J2051$-$0827 is detected throughout the eclipse. By polarization analysis, we find that the linear polarizations of both of them decrease before there are significant changes in both DMs and circular polarizations. The rotation measure (RM) shows significant variations near the eclipses, and a regular rise in RM is seen during eclipse egress of PSR J2051$-$0827, which provides evidence of the changes of Faraday rotation. Our results suggest that the depolarization phenomenon maybe result from the rapid variations of the magnetic field of the eclipse medium due to the companion’s orbital motion.We estimate the line-of-sight magnetic field strengths in the eclipse mediums of PSR J2055+3829 and PSR J2051$-$0827 are $\sim 32$\,mG and $\sim 188$\,mG, respectively.