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Quantum back-action in spinor condensate magnetometry

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 comment on applications of this formalism to metrology and many-body studies.

preprint2012arXivOpen access
S. K. SteinkeS. SinghP. MeystreK. C. SchwabM. Vengalattore
cond-mat.quant-gasquant-ph
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Open access5 authors2 topics
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S. K. SteinkeS. SinghP. MeystreK. C. SchwabM. Vengalattore

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