Quantum backaction in spinor-condensate magnetometry

S. K. Steinke; S. Singh; P. Meystre; K. C. Schwab; M. Vengalattore

doi:10.1103/PhysRevA.88.063809

Quantum backaction in spinor-condensate magnetometry

S. K. Steinke, S. Singh, P. Meystre, K. C. Schwab, M. Vengalattore

Physics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We provide a theoretical treatment of the quantum backaction of Larmor frequency measurements on a spinor Bose-Einstein condensate by an off-resonant light field. Two main results are presented; the first is a "quantum jump" operator description that reflects the abrupt change in the spin state of the atoms when a single photon is counted at a photodiode. The second is the derivation of a conditional stochastic master equation relating the evolution of the condensate density matrix to the measurement record. We provide a few examples of the application of this formalism and comment on its application to metrology.

Original language	English (US)
Article number	063809
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	88
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevA.88.063809
State	Published - Dec 3 2013

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

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10.1103/PhysRevA.88.063809

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AU - Singh, S.

AU - Meystre, P.

AU - Schwab, K. C.

AU - Vengalattore, M.

PY - 2013/12/3

Y1 - 2013/12/3

N2 - We provide a theoretical treatment of the quantum backaction of Larmor frequency measurements on a spinor Bose-Einstein condensate by an off-resonant light field. Two main results are presented; the first is a "quantum jump" operator description that reflects the abrupt change in the spin state of the atoms when a single photon is counted at a photodiode. The second is the derivation of a conditional stochastic master equation relating the evolution of the condensate density matrix to the measurement record. We provide a few examples of the application of this formalism and comment on its application to metrology.

AB - We provide a theoretical treatment of the quantum backaction of Larmor frequency measurements on a spinor Bose-Einstein condensate by an off-resonant light field. Two main results are presented; the first is a "quantum jump" operator description that reflects the abrupt change in the spin state of the atoms when a single photon is counted at a photodiode. The second is the derivation of a conditional stochastic master equation relating the evolution of the condensate density matrix to the measurement record. We provide a few examples of the application of this formalism and comment on its application to metrology.

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Quantum backaction in spinor-condensate magnetometry

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