Optimal Ramsey interferometry with echo protocols based on one-axis twisting
arXiv:2307.08510 · doi:10.1103/PhysRevA.108.062611
Abstract
We study a variational class of generalised Ramsey protocols that include two one-axis twisting (OAT) operations, one performed before the phase imprint and the other after. In this framework, we optimise the axes of the signal imprint, the OAT interactions, and the direction of the final projective measurement. We distinguish between protocols that exhibit symmetric or antisymmetric dependencies of the spin projection signal on the measured phase. Our results show that the quantum Fisher information, which sets the limits on the sensitivity achievable with a given uniaxially twisted input state, can be saturated within our class of variational protocols for almost all initial twist strengths. By incorporating numerous protocols previously documented in the literature, our approach creates a unified framework for Ramsey echo protocols with OAT states and measurements.
References in corpus (25)
- Quantum metrology with nonclassical states of atomic ensembles
- Nonlinear atom interferometer surpasses classical precision limit
- Entanglement, Non-linear Dynamics, and the Heisenberg Limit
- Squeezing and entanglement in a Bose-Einstein condensate
- Hunting for topological dark matter with atomic clocks
- Geodesy and metrology with a transportable optical clock
- Approaching the Heisenberg limit without single-particle detection
- Quantum-Enhanced Sensing Based on Time Reversal of Nonlinear Dynamics
- Quantum amplification of mechanical oscillator motion
- Optimal metrology with programmable quantum sensors
- Time-Reversal-Based Quantum Metrology with Many-Body Entangled States
- Loschmidt Echo for quantum metrology
- Detecting large quantum Fisher information with finite measurement precision
- Optimal and Robust Quantum Metrology Using Interaction-Based Readouts
- Quantum Variational Optimization of Ramsey Interferometry and Atomic Clocks
- Bayesian quantum frequency estimation in presence of collective dephasing
- Prospects and challenges for squeezing-enhanced optical atomic clocks
- Collective Spin-Light and Light-Mediated Spin-Spin Interactions in an Optical Cavity
- Ramsey interferometry with generalized one-axis twisting echoes
- Phase magnification by two-axis countertwisting for detection noise robust interferometry
- Improved bounds on Lorentz violation from composite-pulse Ramsey spectroscopy in a trapped ion
- On-Line Estimation of Local Oscillator Noise and Optimisation of Servo Parameters in Atomic Clocks
- Entanglement-Enhanced Optical Atomic Clocks
- Asymptotic optimality of twist-untwist protocols for Heisenberg scaling in atomic interferometry
- A generalized echo squeezing protocol with near-Heisenberg limit sensitivity and strong robustness against excess noise and variation in squeezing parameter