Robust sub-shot-noise measurement via Rabi-Josephson oscillations in bimodal Bose-Einstein condensates

Abstract

Mach-Zehnder atom interferometry requires hold-time phase-squeezing to attain readout accuracy below the standard quantum limit. This increases its sensitivity to phase-diffusion, restoring shot-noise scaling of the optimal signal-to-noise ratio, $s_o$, in the presence of interactions. The contradiction between the preparations required for readout accuracy and robustness to interactions, is removed by monitoring Rabi-Josephson oscillations instead of relative-phase oscillations during signal acquisition. Optimizing $s_o$ with a Gaussian squeezed input, we find that hold-time number squeezing satisfies both demands and that sub-shot-noise scaling is retained even for strong interactions.

6 pages, 4 figures

References in corpus (14)

• Nonlinear atom interferometer surpasses classical precision limit
• Atom chip based generation of entanglement for quantum metrology
• Matter-wave interferometry in a double well on an atom chip
• Squeezing and entanglement in a Bose-Einstein condensate
• Mach-Zehnder Interferometry at the Heisenberg Limit with coherent and squeezed-vacuum light
• Long Phase Coherence Time and Number Squeezing of two Bose-Einstein Condensates on an Atom Chip
• Coherent manipulation of Bose-Einstein condensates with state-dependent microwave potentials on an atom chip
• Spin squeezing in a bimodal condensate: spatial dynamics and particle losses
• Bosonic amplification of noise-induced suppression of phase diffusion
• Atom interferometry with trapped Bose-Einstein condensates: Impact of atom-atom interactions
• Nonlinear phase-dynamics in a driven Bosonic Josephson junction
• Optimized Double-well quantum interferometry with Gaussian squeezed-states
• Optimal Gaussian squeezed states for atom-interferometry in the presence of phase diffusion
• Rabi Interferometry and Sensitive Measurement of the Casimir-Polder Force with Ultra-Cold Gases