Dynamically decoupled three-body interactions with applications to interaction-based quantum metrology

Abstract

We propose a stroboscopic method to dynamically decouple the effects of two-body atom-atom interactions for ultracold atoms, and realize a system dominated by elastic three-body interactions. Using this method, we show that it is possible to achieve the optimal scaling behavior predicted for interaction-based quantum metrology with three-body interactions. Specifically, we show that for ultracold atoms quenched in an optical lattice, we can measure the three-body interaction strength with a precision proportional to ${\bar{n}}^{-5/2}$ using homodyne quadrature interferometry, and ${\bar{n}}^{-7/4}$ using conventional collapse-and-revival techniques, where $\bar{n}$ is the mean number of atoms per lattice site. Both precision scalings surpass the nonlinear scaling of ${\bar{n}}^{-3/2}$, the best so far achieved or proposed with a physical system. Our method of achieving a decoupled three-body interacting system may also have applications in the creation of exotic three-body states and phases.

5 pages, 4 figures

References in corpus (38)

• Advances in Quantum Metrology
• Feshbach Resonances in Ultracold Gases
• Cold bosonic atoms in optical lattices
• Quantum-enhanced measurements: beating the standard quantum limit
• Nonlinear atom interferometer surpasses classical precision limit
• Atom chip based generation of entanglement for quantum metrology
• Quantum Optical Metrology -- The Lowdown on High-N00N States
• Twin matter waves for interferometry beyond the classical limit
• Generalized Limits for Single-Parameter Quantum Estimation
• Scalable Spin Squeezing for Quantum-Enhanced Magnetometry with Bose-Einstein Condensates
• Atomic three-body loss as a dynamical three-body interaction
• Interaction-based quantum metrology showing scaling beyond the Heisenberg limit
• Quantum Metrology: Dynamics vs. Entanglement
• Exponentially Enhanced Quantum Metrology
• Preparing and probing atomic number states with an atom interferometer
• Photon-Assisted Tunneling in a Biased Strongly Correlated Bose Gas
• Effective three-body interactions of neutral bosons in optical lattices
• Three-Body Interacting Bosons in Free Space
• A nonlinear Ramsey interferometer operating beyond the Heisenberg limit
• Nonlinear quantum metrology using coupled nanomechanical resonators
• QND Measurement of Large-Spin Ensembles by Dynamical Decoupling
• Emerging Bosons with Three-Body Interactions from Spin-1 Atoms in Optical Lattices
• Quantum-limited metrology and Bose-Einstein condensates
• Quantum measurement bounds beyond the uncertainty relations
• Effective three-body interactions via photon-assisted tunneling in an optical lattice
• Quantum limited measurements of atomic scattering properties
• Engineering three-body interaction and Pfaffian states in circuit QED systems
• Nonlinear metrology with a quantum interface
• Entanglement is not a critical resource for quantum metrology
• Ultrasensitive Atomic Spin Measurements with a Nonlinear Interferometer
• Dynamics of spin-1 bosons in an optical lattice: spin mixing, quantum phase revival spectroscopy and effective three-body interactions
• Feshbach molecule formation in a Bose-Fermi mixture
• Elastic Multi-Body Interactions on a Lattice
• Magnetometry via a double-pass continuous quantum measurement of atomic spin
• Collapse and revival dynamics of superfluids of ultracold atoms in optical lattices
• Effective renormalized multi-body interactions of harmonically confined ultracold neutral bosons
• Bloch oscillations and quench dynamics of interacting bosons in an optical lattice
• Quadrature interferometry for nonequilibrium ultracold bosons in optical lattices

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• Lattice-enabled detection of spin-dependent three-body interactions
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