Optimal Ramsey interferometry with echo protocols based on one-axis twisting

authored by: M. S. Scharnagl, T. Kielinski, K. Hammerer
Abstract: We study a variational class of generalized Ramsey protocols that include two one-axis twisting (OAT) operations, one performed before the phase imprint and the other after. In this framework, we optimize 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 one-axis twisted input state, can be saturated within our class of variational protocols for almost all initial twisting 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.
Organisation(s): Institute of Theoretical Physics
Institute of Gravitation Physics
QuantumFrontiers
External Organisation(s): Max Planck Institute for Gravitational Physics (Albert Einstein Institute)
Type: Article
Journal: Physical Review A
Volume: 108
ISSN: 2469-9926
Publication date: 11.12.2023
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Atomic and Molecular Physics, and Optics
Electronic version(s): https://doi.org/10.1103/PhysRevA.108.062611 (Access: Open)

BibTeX

@article{8b5cccc679864e7784984371362dd153,
title = "Optimal Ramsey interferometry with echo protocols based on one-axis twisting",
abstract = "We study a variational class of generalized Ramsey protocols that include two one-axis twisting (OAT) operations, one performed before the phase imprint and the other after. In this framework, we optimize 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 one-axis twisted input state, can be saturated within our class of variational protocols for almost all initial twisting 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.",
keywords = "quant-ph",
author = "Scharnagl, {M. S.} and T. Kielinski and K. Hammerer",
note = "Funding Information: We acknowledge funding by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) through Project-ID 274200144 - SFB 1227 (projects A06 and A07) and Project-ID 390837967 - EXC 2123, and by the Quantum Valley Lower Saxony Q1 project (QVLS-Q1) through the Volkswagen foundation and the ministry for science and culture of Lower Saxony. ",
year = "2023",
month = dec,
day = "11",
doi = "10.1103/PhysRevA.108.062611",
language = "English",
volume = "108",
journal = "Physical Review A",
issn = "2469-9926",
publisher = "American Physical Society",
number = "6",
}