Phase shift of an adiabatic rotating magnetic field in Ramsey atom interferometry for m=0 sodium-atom spin states

Atsushi Takahashi, Hiromitsu Imai, Kazuya Numazaki, and Atsuo Morinaga

Accepted Monday Nov 02, 2009

The pi-phase shift between |F=1, mF=0> and |F=2, mF=0> states for an adiabatic rotation of a magnetic field observed in Ramsey atom interferometry arises from the negative sign of the transition amplitude between the |1, 0> and |2, 0> states when the wave functions are rotated to the opposite direction. Using a two-photon Raman atom interferometer with a cold ensemble of sodium atoms, the phase shift for a half-rotation of the magnetic field was confirmed to be pi rad with an uncertainty of 4%, and the phase shift for a noncyclic adiabatic rotation of the magnetic field was investigated.