Superresolution in separation estimation between two dynamic incoherent sources using spatial demultiplexing
arXiv:2407.10507 · doi:10.1088/1367-2630/ad929d
Abstract
Achieving resolution in the sub-Rayleigh regime (superresolution) is one of the rapidly developing topics in quantum optics and metrology. Recently, it was shown that perfect measurement based on spatial mode demultiplexing (SPADE) in Hermite-Gauss modes allows one to reach the quantum limit of precision for estimation of separation between two weak incoherent stationary sources. Since then, different imperfections such as misalignment or crosstalk between modes have been studied to check how this result translates into more realistic experimental setups. In this paper, we consider another deviation from the perfect setup by discarding the assumption about the stationarity of the sources. This is relevant for example for astrophysical applications where planets necessarily orbit around the star. We analyze two examples of dynamics: rotations and oscillations, showing the robustness of the SPADE-based measurement against them. The analysis is based on Fisher information, which allows one to obtain the precision limit through Cramér-Rao bound. Furthermore, we formulate a measurement algorithm that allows for the reduction of one parameter for estimation (system orientation angle) in the stationary sources scenario, maintaining the measurement precision despite the lack of knowledge about this parameter.
9 pages + 3-page appendix
References in corpus (18)
- Quantum Theory of Superresolution for Two Incoherent Optical Point Sources
- Beating Rayleigh's Curse by Imaging Using Phase Information
- Efficient tools for quantum metrology with uncorrelated noise
- A modern description of Rayleigh's criterion
- Resolving starlight: a quantum perspective
- Optimum Small Optical Beam Displacement Measurement
- Quantum-optimal detection of one-versus-two incoherent optical sources with arbitrary separation
- Quantum-optimal detection of one-versus-two incoherent sources with arbitrary separation
- Superresolution Limits from Measurement Crosstalk
- Quantum hypothesis testing for exoplanet detection
- Optical quantum super-resolution imaging and hypothesis testing
- Resolution limits of spatial mode demultiplexing with noisy detection
- Quantum measurements of spatial conjugate variables: Displacement and tilt of a Gaussian beam
- Ultra-sensitive separation estimation of optical sources
- Realistic sub-Rayleigh imaging with phase-sensitive measurements
- Single-photon sub-Rayleigh precision measurements of a pair of incoherent sources of unequal intensity
- Spatial-mode-demultiplexing for enhanced intensity and distance measurement
- Application range of crosstalk-affected spatial demultiplexing for resolving separations between unbalanced sources