Interferometric measurement of interhyperfine scattering lengths in ${}^{87}$Rb

Abstract

We present interferometeric measurements of the $f=1$ to $f=2$ inter-hyperfine scattering lengths in a single-domain spinor Bose-Einstein condensate of ${}^{87}$Rb. The inter-hyperfine interaction leads to a strong and state-dependent modification of the spin-mixing dynamics with respect to a non-interacting description. We employ hyperfine-specific Faraday-rotation probing to reveal the evolution of the transverse magnetization in each hyperfine manifold for different state preparations, and a comagnetometer strategy to cancel laboratory magnetic noise. The method allows precise determination of inter-hyperfine scattering length differences, calibrated to intra-hyperfine scattering length differences. We report $(a_3^{(12)}-a_2^{(12)})/(a_2^{(1)}-a_0^{(1)})=-1.27(15)$ and $(a_1^{(12)}-a_2^{(12)})/(a_2^{(1)}-a_0^{(1)})=-1.31(13)$, limited by atom number uncertainty. With achievable control of atom number, we estimate precisions of $\approx 0.3\%$ should be possible with this technique.

References in corpus (38)

• Spinor Bose Condensates in Optical Traps
• Spin domains in ground state spinor Bose-Einstein condensates
• Spinor Bose-Einstein condensates
• Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
• Ground-State Properties of Magnetically Trapped Bose-Condensed Rubidium Gas
• All Optical Formation of an Atomic Bose-Einstein Condensate
• Quantum spins mixing in spinor Bose-Einstein condensates
• Nuclear spin gyroscope based on an atomic co-magnetometer
• Inter-isotope determination of ultracold rubidium interactions from three high-precision experiments
• Double species condensate with tunable interspecies interactions
• Observation of spinor dynamics in optically trapped 87Rb Bose-Einstein Condensates
• Coherent spinor dynamics in a spin-1 Bose condensate
• Dynamics of F=2 Spinor Bose-Einstein Condensates
• A new test of local Lorentz invariance using ${}^{21}$Ne-Rb-K comagnetometer
• Observation of Dirac Monopoles in a Synthetic Magnetic Field
• Scalable Spin Squeezing for Quantum-Enhanced Magnetometry with Bose-Einstein Condensates
• Spatial entanglement patterns and Einstein-Podolsky-Rosen steering in a Bose-Einstein condensate
• Dual-Species Bose-Einstein Condensate of ${}^{87}$Rb and ${}^{133}$Cs
• Effect of cold collisions on spin coherence and resonance shifts in a magnetically trapped ultra-cold gas
• Bell Correlations in a Bose-Einstein Condensate
• Precision measurement of spin-dependent interaction strengths for spin-1 and spin-2 87Rb atoms
• Order Parameter at the Boundary of a Trapped Bose Gas
• Observation of Topologically Stable 2D Skyrmions in an Antiferromagnetic Spinor Bose-Einstein Condensate
• ${}^3$He-${}^{129}$Xe Comagnetometery using ${}^{87}$Rb Detection and Decoupling
• QND Measurement of Large-Spin Ensembles by Dynamical Decoupling
• Periodic spin textures in a degenerate F=1 ${}^{87}$Rb spinor Bose gas
• Phase diagram of spin 1 antiferromagnetic Bose-Einstein condensates
• Polarization-based Light-Atom Quantum Interface with an All-optical Trap
• Quenched binary Bose-Einstein condensates: spin domain formation and coarsening
• Preparation of ultracold atom clouds at the shot noise level
• Phase magnification by two-axis countertwisting for detection noise robust interferometry
• Conditions for spin squeezing in a cold 87Rb ensemble
• Ground-state phases of a mixture of spin-1 and spin-2 Bose-Einstein condensates
• Multi-second magnetic coherence in a single domain spinor Bose-Einstein condensate
• Spinor dynamics in a mixture of spin-1 and spin-2 Bose-Einstein condensates
• Spontaneous symmetry breaking in spinor Bose-Einstein condensates
• Real-time shot-noise-limited differential photodetection for atomic quantum control
• Stability of nonstationary states of spin-1 Bose-Einstein condensates

Cited by in corpus (3)

• Criticality-enhanced quantum sensing in ferromagnetic Bose-Einstein condensates: role of readout measurement and detection noise
• Bose-Einstein Condensate Comagnetometer
• Phase separation and metastability in a mixture of spin-1 and spin-2 Bose-Einstein condensates