Contrast and phase-shift of a trapped atom interferometer using a thermal ensemble with internal state labelling

Abstract

We report a theoretical study of a double-well Ramsey interferometer using internal state labelling. We consider the use of a thermal ensemble of cold atoms rather than a Bose-Einstein condensate to minimize the effects of atomic interactions. To maintain a satisfactory level of coherence in this case, a high degree of symmetry is required between the two arms of the interferometer. Assuming that the splitting and recombination processes are adiabatic, we theoretically derive the phase-shift and the contrast of such an interferometer in the presence of gravity or an acceleration field. We also consider using a "shortcut to adiabaticity" protocol to speed up the splitting process and discuss how such a procedure affects the phase shift and contrast. We find that the two procedures lead to phase-shifts of the same form.

12 pages, 1 figure

References in corpus (5)

• Matter-wave interferometry in a double well on an atom chip
• Fast atomic transport without vibrational heating
• Shortcut to adiabaticity for an interacting Bose-Einstein condensate
• Symmetric micro-wave potentials for interferometry with thermal atoms on a chip
• Asymmetric double-well potential for single atom interferometry

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• Experimental study of the role of trap symmetry in an atom-chip interferometer above the Bose-Einstein condensation threshold
• Robust control of linear systems and shortcut to adiabaticity based on superoscillations
• Effect of trap symmetry and atom-atom interactions on a trapped atom interferometer with internal state labelling
• Fast transport of Bose-Einstein condensates in anharmonic traps
• An atom chip interferometer