We reports improvements to our Sagnac effect matter-wave interferometer gyr
oscope, This device now has a short-term rotation-rate sensitivity of 6 x 1
0(-10) rad s(-1) over 1 s of integration, which is the best publicly report
ed value to date. Stimulated Raman transitions are used to coherently manip
ulate atoms from counterpropagating thermal beams, forming two interferomet
ers with opposite rotation phase shifts, allowing rotation to be distinguis
hed from acceleration and laser arbitrary phase. Furthermore, electronicall
y compensating the rotation-induced Doppler shifts of the Raman lasers allo
ws operation at an effective zero rotation rate, improving sensitivity and
facilitating sensitive lock-in detection readout techniques. Long-term stab
ility is promising but not yet fully characterized. Potential applications
include inertial navigation, geophysical studies and tests of general relat
ivity.