Abstract

Free space atom-interferometry traditionally suffers from the large distances that atoms have to fall in order to achieve long interaction times. Trapped atom interferometry is emerging as a powerful way of achieving long interaction times in a reduced experimental volume. Here, we demonstrate bi-chromatic adiabatic magnetic shell traps as a novel tool for matterwave interferometry. We dress the magnetic hyperfine states of the F = 1 and F = 2 Rubidium 87 Bose–Einstein Condensates thus creating two independently controllable shell traps of which we use the and adiabatic states. Using microwave pulses, we put atoms originally loaded into one of the two shell-traps into a superposition between the two shell traps. Since the two traps can be manipulated independently, their position and vertical curvature can be matched, thus creating a good starting point for an atom interferometer. This interferometer can be sensitive to spatially varying electric or magnetic fields, which could be DC or RF magnetic fields or microwaves. We demonstrate that the trap-matching afforded by the independent control of the shell traps allows for a tenfold increase in coherence times when compared to adiabatic potentials created by a single RF-frequency. For large-radius shells the atoms are confined to a 2D surface enabling highly sensitive imaging matterwave interferometers.

Highlights

  • The RF-dressed shell trapThe total angular momentum F = I + J with eigenstates in a coupled basis |F, mF can be used instead of |I, mI, J, mJ

  • Atom interferometry is a rapidly maturing quantum technology both for fundamental experiments and for applications

  • Atom interferometry may be used in tests for sub-gravitational forces on atoms arising from miniature source masses [5] and in the search for Ultralight Scalar Field Dark Matter [6]

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Summary

The RF-dressed shell trap

The total angular momentum F = I + J with eigenstates in a coupled basis |F, mF can be used instead of |I, mI, J, mJ. That the sign of gF determines which local polarization component of the RF couples the mF states, i.e. for the absorption of one rf-photon (∆mF = +1) one requires σ− for the F = 1 and σ+ for the F = 2 state. Each sense of rotation, specified with s = ±1 and defined with respect to the symmetry axis of the quadrupole field, couples atoms to either of the F manifolds. The values of γ for the the spin states |1, m F = −1 and |2, m F = 1 states differ only by a small amount, e.g. γ1/γ2 = g2/g1 ≈ 0.996 This small difference causes the two traps to have both different positions z0 and trapping frequencies. Any superposition between the two states will dephase rapidly, severely limiting any interferometric measurement using these two states

The Bi-chromatic Shell Trap
Microwave beam splitters for adiabatic potentials
Dephasing and decoherence
Sensitivity to homogeneous fields
Conclusions and Outlook
Full Text
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