Two-parameter estimation with three-mode NOON state in a symmetric three-well system
arXiv:2107.02459 · doi:10.1088/1572-9494/ac5efd
Abstract
We propose a scheme to realize two-parameter estimation via a Bose-Einstein condensates confined in a symmetric triple-well potential. The three-mode NOON state is prepared adiabatically as the initial state. The two parameters to be estimated are the phase differences between the wells. The sensitivity of this estimation scheme is studied by comparing quantum and classical Fisher information matrices. As a result, we find an optimal particle number measurement method. Moreover, the precision of this estimation scheme behaves the Heisenberg scaling under the optimal measurement.
References in corpus (49)
- Quantum sensing
- Advances in Quantum Metrology
- Feshbach Resonances in Ultracold Gases
- Quantum-enhanced measurements: beating the standard quantum limit
- Quantum metrology
- Quantum metrology with nonclassical states of atomic ensembles
- Atom Interferometers
- Quantum Coherent Atomic Tunneling between Two Trapped Bose-Einstein Condensates
- A gravitational wave observatory operating beyond the quantum shot-noise limit: Squeezed light in application
- Quantum Fisher information matrix and multiparameter estimation
- A Quantum Rosetta Stone for Interferometry
- Quantum Superposition States of Bose-Einstein Condensates
- Quantum enhanced measurements without entanglement
- Quantum Enhanced Multiple Phase Estimation
- Magnetic sensitivity beyond the projection noise limit by spin squeezing
- Compatibility in Multiparameter Quantum Metrology
- Entanglement-Enhanced Optical Atomic Clock
- Multi-parameter Quantum Metrology
- Real applications of quantum imaging
- Scalable Spin Squeezing for Quantum-Enhanced Magnetometry with Bose-Einstein Condensates
- Quantum enhanced estimation of a multi-dimensional field
- Fundamental Quantum Limit to Waveform Estimation
- Quantum metrology with a scanning probe atom interferometer
- Optimal measurements for simultaneous quantum estimation of multiple phases
- Multiparameter Quantum Metrology of Incoherent Point Sources: Towards Realistic Superresolution
- Sensitivity Bounds for Multiparameter Quantum Metrology
- A tradeoff in simultaneous quantum-limited phase and loss estimation in interferometry
- 0.75 atoms improve the clock signal of 10,000 atoms
- Adiabatic Mach-Zehnder Interferometry on A Quantized Bose-Josephson Junction
- Collective modes, chaotic behavior and self-trapping in the dynamics of three coupled Bose-Einstein condensates
- Quantum limit for two-dimensional resolution of two incoherent optical point sources
- Quantum Dynamics of Three Coupled Atomic Bose-Einstein Condensates
- Incorporating Heisenberg's Uncertainty Principle into Quantum Multiparameter Estimation
- Nonlinear quantum interferometry with Bose condensed atoms
- Multiparameter squeezing for optimal quantum enhancements in sensor networks
- Sagnac interferometry with a single atomic clock
- Self-trapping mechanisms in the dynamics of three coupled Bose-Einstein condensates
- The role of entanglement in calibrating optical quantum gyroscopes
- Intrinsic Sensitivity Limits for Multiparameter Quantum Metrology
- Weak measurements and the joint estimation of phase and phase diffusion
- Multiphase estimation without a reference mode
- Heralded Generation of Macroscopic Superposition States in a Spinor Bose-Einstein Condensate
- NOON state of Bose atoms in the double-well potential via an excited state quantum phase transition
- Singularity of Berry Connections Inhibits the Accuracy of Adiabatic Approximation
- Multiparameter estimation via an ensemble of spinor atoms
- Generalized-mean Cramér-Rao Bounds for Multiparameter Quantum Metrology
- Phase-space geometric Sagnac interferometer for rotation sensing
- Measure of the density of quantum states in information geometry and its application in the quantum multi-parameter estimation
- Enhancing the sensitivity of rotation in a multi-atom Sagnac interferometer