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)