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

Dariusz Kajtoch, Krzysztof Pawłowski, Emilia Witkowska

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

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 quasidistribution function in the phase space.

Original languageEnglish (US)
Article number023616
JournalPhysical Review A
Volume97
Issue number2
DOIs
StatePublished - Feb 9 2018
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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