A fully reciprocal atomic interferometric gyroscope comprising: an atomic chamber to hold an atom cloud ; a plurality of lasers selectively positioned to selectively direct laser beams (310, 320 and 330) into the atomic chamber , and characterized by : a controller configured to control the plurality of lasers to initially cool the atom cloud and to form at least one optical lattice used to move wave function halves of atoms of the atom cloud along split wave function paths that form an interferometer cycle wherein detuning of relative frequency differences of the optical lattice is used to move first atomic wave function halves of atoms of the atom cloud along a first split wave function path and second atomic wave function halves of the atoms along a second split wave function path, wherein the first atomic wave function halves along the first split wave function path and the second atomic wave function halves along the second split wave function path traverse exactly the same path in opposite directions thereby forming the interferometer cycle; and a measurement sensor (910-1) configured to conduct a phase readout of a wave function upon the completion of at least one interferometer cycle around the split wave function paths. an atomic chamber to hold an atom cloud ; a plurality of lasers selectively positioned to selectively direct laser beams (310, 320 and 330) into the atomic chamber , and characterized by : a controller configured to control the plurality of lasers to initially cool the atom cloud and to form at least one optical lattice used to move wave function halves of atoms of the atom cloud along split wave function paths that form an interferometer cycle wherein detuning of relative frequency differences of the optical lattice is used to move first atomic wave function halves of atoms of the atom cloud along a first split wave function path and second atomic wave function halves of the atoms along a second split wave function path, wherein the first atomic wave function halves along the first split wave function path and the second atomic wave function halves along the second split wave function path traverse exactly the same path in opposite directions thereby forming the interferometer cycle; and a measurement sensor (910-1) configured to conduct a phase readout of a wave function upon the completion of at least one interferometer cycle around the split wave function paths. a controller configured to control the plurality of lasers to initially cool the atom cloud and to form at least one optical lattice used to move wave function halves of atoms of the atom cloud along split wave function paths that form an interferometer cycle wherein detuning of relative frequency differences of the optical lattice is used to move first atomic wave function halves of atoms of the atom cloud along a first split wave function path and second atomic wave function halves of the atoms along a second split wave function path, wherein the first atomic wave function halves along the first split wave function path and the second atomic wave function halves along the second split wave function path traverse exactly the same path in opposite directions thereby forming the interferometer cycle; and a measurement sensor (910-1) configured to conduct a phase readout of a wave function upon the completion of at least one interferometer cycle around the split wave function paths. <EOS>