Nonlinear metrology with a quantum interface

Abstract

We describe nonlinear quantum atom-light interfaces and nonlinear quantum metrology in the collective continuous variable formalism. We develop a nonlinear effective Hamiltonian in terms of spin and polarization collective variables and show that model Hamiltonians of interest for nonlinear quantum metrology can be produced in ${}^{87}$Rb ensembles. With these Hamiltonians, metrologically relevant atomic properties, e.g. the collective spin, can be measured better than the "Heisenberg limit" $\propto 1/N$. In contrast to other proposed nonlinear metrology systems, the atom-light interface allows both linear and non-linear estimation of the same atomic quantities.

8 pages, 1 figures

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• Does nonlinear metrology offer improved resolution? Answers from quantum information theory
• Spin squeezing and entanglement for arbitrary spin
• Superposition of two-mode squeezed states for quantum information processing and quantum sensing
• Ultrasensitive Atomic Spin Measurements with a Nonlinear Interferometer
• Sub-Heisenberg-limited nonlinear phase estimation: Parity measurement approaches the quantum Cramér-Rao bound
• Many-body effects in quantum metrology
• Supersensitivity of Kerr phase estimation with two-mode squeezed vacuum states
• Enhanced nonlinear quantum metrology with weakly coupled solitons and particle losses
• Quantum Noise for Faraday Light Matter Interfaces
• Using states with a large photon number variance to increase quantum Fisher information in single-mode phase estimation
• Generating nonlinearities from conditional linear operations, squeezing and measurement for quantum computation and super-Heisenberg sensing
• Number-unconstrained quantum sensing
• Dynamically decoupled three-body interactions with applications to interaction-based quantum metrology
• Nonlinear Michelson interferometer for improved quantum metrology
• Nonlinear fiber gyroscope for quantum metrology
• Restoring metrological quantum advantage of measurement precision in noisy scenario
• Exploring Many-body Interactions Through Quantum Fisher Information
• Michelson interferometer for measuring temperature
• Excessive precision compromises accuracy even with unlimited resources due to the trade-off in quantum metrology
• Nonclassical states of light in a nonlinear Michelson interferometer
• Beyond pure state entanglement for atomic ensembles