Measuring Energy Differences by BEC Interferometry on a Chip

Abstract

We investigate the use of a Bose-Einstein condensate trapped on an atom chip for making interferometric measurements of small energy differences. We measure and explain the noise in the energy difference of the split condensates, which derives from statistical noise in the number difference. We also consider systematic errors. A leading effect is the variation of rf magnetic field in the trap with distance from the wires on the chip surface. This can produce energy differences that are comparable with those due to gravity.

4 pages, 4 figures

References in corpus (26)

• Atom Interferometers
• Nonlinear atom interferometer surpasses classical precision limit
• Measurement of the Casimir force between parallel metallic surfaces
• Atom chip based generation of entanglement for quantum metrology
• Matter-wave interferometry in a double well on an atom chip
• Atom interferometry with Bose-Einstein condensates in a double-well potential
• Measurement of the Temperature Dependence of the Casimir-Polder Force
• Improved Precision Measurement of the Casimir Force Using Gold Surfaces
• An Atom Michelson Interferometer on a Chip Using a Bose-Einstein Condensate
• Long Phase Coherence Time and Number Squeezing of two Bose-Einstein Condensates on an Atom Chip
• Measurement of the Casimir-Polder force through center-of-mass oscillations of a Bose-Einstein condensate
• Long-lived Bloch oscillations with bosonic Sr atoms and application to gravity measurement at micrometer scale
• Coherent manipulation of Bose-Einstein condensates with state-dependent microwave potentials on an atom chip
• Atom interferometry with a weakly-interacting Bose Einstein condensate
• Radio-frequency dressed state potentials for neutral atoms
• Interference of Bose-Einstein Condensates on an Atom Chip
• A two wire waveguide and interferometer for cold atoms
• Probing Sub-Micron Forces by Interferometry of Bose-Einstein Condensed Atoms
• Phase Sensitive Recombination of Two Bose-Einstein Condensates on an Atom Chip
• Sensitive measurement of forces at micron scale using Bloch oscillations of ultracold atoms
• Condensate splitting in an asymmetric double well for atom chip based sensors
• Matter-wave Interferometry with Phase Fluctuating Bose-Einstein Condensates
• A quantum sensor for atom-surface interactions below 10 $\mu$m
• Atom chip for BEC interferometry
• Three-dimensional character of atom-chip-based rf-dressed potentials
• RF spectroscopy in a resonant RF-dressed trap

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• Manipulating the momentum state of a condensate by sequences of standing wave pulses
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• Controllable Asymmetric Matter-wave Beam Splitter and Ring Potential on an Atom Chip
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• ICP polishing of silicon for high quality optical resonators on a chip
• Critical exponents for an impurity in a bosonic Josephson junction: Position measurement as a phase transition
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• Suppression and enhancement of decoherence in an atomic Josephson junction
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• Tutorial: Current controllers for optimizing laser cooling on cold atom experiments
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• Long spatial coherence times a few micro-meters from a room temperature surface