简介:WeinvestigatethesensitivityoftheangularrotationmeasurementwiththemethodofhomodynedetectioninSU(2)andSU(1,1)interferometersbyemployingorbitalangularmomentum(OAM).BycombiningacoherentbeamwithavacuumbeaminanSU(2)interferometer,wegetthesensitivityoftheangularrotationmeasurementas1/(2N1/2l).WecansurpassthelimitoftheangularrotationmeasurementinanSU(1,1)interferometerbycombiningacoherentbeamwithavacuumbeamorasqueezedvacuumbeamwhentheprobebeamhasOAM.Withoutinjection,thesensitivitycanreach1/(2N1/2l).Inaddition,byemployinganotherconstructionofanSU(1,1)interferometerwherethepumpbeamhasOAM,withthesameinjectionofanSU(1,1)interferometer,thesensitivityoftheangularrotationmeasurementcanbeimprovedbyafactorof2,reaching1/(4Nl).Theresultsconfirmthepotentialofthistechnologyforprecisionmeasurementsinangularrotationmeasurements.