Metrologically useful states of spin-1 Bose condensates with macroscopic magnetization

We study theoretically the usefulness of spin-1 Bose condensates with macroscopic magnetization in a homogeneous magnetic field for quantum metrology. We demonstrate Heisenberg scaling of the quantum Fisher information for states in thermal equilibrium. The scaling applies to both antiferromagnetic...

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Bibliographic Details
Published in:arXiv.org 2017-11
Main Authors: Kajtoch, Dariusz, Pawłowski, Krzysztof, Witkowska, Emilia
Format: Article
Language:English
Subjects:
Antiferromagnetism
Condensates
Distribution functions
Ferromagnetism
Magnetic fields
Magnetization
Scaling
Variations
Online Access:Get full text
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Summary:We study theoretically the usefulness of spin-1 Bose condensates with macroscopic magnetization in a homogeneous magnetic field for quantum metrology. We demonstrate Heisenberg scaling of the quantum Fisher information for states in thermal equilibrium. The scaling applies to both antiferromagnetic and ferromagnetic interactions. The effect preserves as long as fluctuations of magnetization are sufficiently small. Scaling of the quantum Fisher information with the total particle number is derived within the mean-field approach in the zero temperature limit and exactly in the high magnetic field limit for any temperature. The precision gain is intuitively explained owing to subtle features of the quasi-distribution function in phase space.
ISSN:2331-8422
DOI:10.48550/arxiv.1704.00628