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Journal Article

Ramsey interferometry with generalized one-axis twisting echoes


Hammerer,  Klemens
Laser Interferometry & Gravitational Wave Astronomy, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

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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.

Cite as: https://hdl.handle.net/21.11116/0000-0006-7C25-6
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.