Ramsey interferometry with generalized one-axis twisting echoes

authored by: Marius Schulte, Victor J. Martínez-Lahuerta, Maja S. Scharnagl, Klemens Hammerer
Abstract: We consider a large class of Ramsey interferometry protocols which are enhanced by squeezing and un-squeezing operations before and after a phase signal is imprinted on the collective spin of N particles. We report an analytical optimization for any given particle number and strengths of (un-)squeezing. These results can be applied even when experimentally relevant decoherence processes during the squeezing and un-squeezing interactions are included. Noise between the two interactions is however not considered in this work. This provides a generalized characterization of squeezing echo protocols, recovering a number of known quantum metrological protocols as local sensitivity maxima, thereby proving their optimality. We discover a single new protocol. Its sensitivity enhancement relies on a double inversion of squeezing. In the general class of echo protocols, the newly found over-un-twisting protocol is singled out due to its Heisenberg scaling even at strong collective dephasing.
Organisation(s): QuantumFrontiers
CRC 1227 Designed Quantum States of Matter (DQ-mat)
Institute of Theoretical Physics
Institute of Gravitation Physics
External Organisation(s): Max Planck Institute for Gravitational Physics (Albert Einstein Institute)
Type: Article
Journal: Quantum
Volume: 4
Pages: 268-286
No. of pages: 19
ISSN: 2521-327X
Publication date: 15.05.2020
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Atomic and Molecular Physics, and Optics, Physics and Astronomy (miscellaneous)
Electronic version(s): https://doi.org/10.48550/arXiv.1911.11801 (Access: Open)
https://doi.org/10.22331/q-2020-05-15-268 (Access: Open)
https://doi.org/10.15488/9960 (Access: Open)

BibTeX

@article{7d399b58f51f46febcacc6e228cbef53,
title = "Ramsey interferometry with generalized one-axis twisting echoes",
abstract = "We consider a large class of Ramsey interferometry protocols which are enhanced by squeezing and un-squeezing operations before and after a phase signal is imprinted on the collective spin of N particles. We report an analytical optimization for any given particle number and strengths of (un-)squeezing. These results can be applied even when experimentally relevant decoherence processes during the squeezing and un-squeezing interactions are included. Noise between the two interactions is however not considered in this work. This provides a generalized characterization of squeezing echo protocols, recovering a number of known quantum metrological protocols as local sensitivity maxima, thereby proving their optimality. We discover a single new protocol. Its sensitivity enhancement relies on a double inversion of squeezing. In the general class of echo protocols, the newly found over-un-twisting protocol is singled out due to its Heisenberg scaling even at strong collective dephasing. ",
keywords = "quant-ph, physics.atom-ph",
author = "Marius Schulte and Mart{\'i}nez-Lahuerta, {Victor J.} and Scharnagl, {Maja S.} and Klemens Hammerer",
note = "Funding Information: We would like to thank C. Klempt for helpful discussions and J.P. Home for commenting on the possible connection to GKP protocols. This work was funded by the Deutsche Forschungsgemein-schaft (DFG, German Research Foundation) under Germany{\textquoteright}s Excellence Strategy – EXC-2123 QuantumFrontiers – 390837967 and CRC 1227 {\textquoteleft}DQ-mat{\textquoteright} project A06. The publication of this article was funded by the Open Access Fund of Leibniz Universit{\"a}t Hannover. ",
year = "2020",
month = may,
day = "15",
doi = "10.48550/arXiv.1911.11801",
language = "English",
volume = "4",
pages = "268--286",
journal = "Quantum",
issn = "2521-327X",
publisher = "Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften",
}