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  Ramsey interferometry with generalized one-axis twisting echoes

Schulte, M., Martínez-Lahuerta, V. J., Scharnagl, M. S., & Hammerer, K. (2020). Ramsey interferometry with generalized one-axis twisting echoes. Quantum, 4: 268. doi:10.22331/q-2020-05-15-268.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0006-7C25-6 Version Permalink: http://hdl.handle.net/21.11116/0000-0006-7C26-5
Genre: Journal Article

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 Creators:
Schulte, Marius, Author
Martínez-Lahuerta, Victor J., Author
Scharnagl, Maja S., Author
Hammerer, Klemens1, Author              
Affiliations:
1Laser Interferometry & Gravitational Wave Astronomy, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society, ou_24010              

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Free keywords: Quantum Physics, quant-ph, Physics, Atomic Physics, physics.atom-ph
 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.

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 Dates: 2019-11-262020-04-272020
 Publication Status: Published in print
 Pages: 11+8 pages, 7 figures, comments welcome! ; accepted version
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1911.11801
DOI: 10.22331/q-2020-05-15-268
URI: http://arxiv.org/abs/1911.11801
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Title: Quantum
Source Genre: Journal
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Pages: - Volume / Issue: 4 Sequence Number: 268 Start / End Page: - Identifier: -