Journal of Physics Conference Series

The weak value of spin for atomic systems

Vincenzo Monachello, R. L. Flack

Published Mar 1, 2016• 3 citations

Abstract

A system is being designed and constructed in order to measure the weak value of spin for atomic systems. The experiment utilises spin-1 metastable helium atoms in the 2 3 S 1 state. This paper outlines the experiment and its features.

DOI: 10.1088/1742-6596/701/1/012028

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Journal of Physics Conference Series

The weak value of spin for atomic systems

Vincenzo Monachello, R. L. Flack

Published Mar 1, 2016• 3 citations

Publisher

Abstract

DOI: 10.1088/1742-6596/701/1/012028

Related papers

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A method for measuring the weak value of spin for atoms is proposed using a variant of the original Stern-Gerlach apparatus. A full simulation of an experiment for observing the real part of the weak value using the impulsive approximation has been carried out. Our predictions show a displacement of the beam of helium atoms in the metastable 23S1 state, Δw, that is within the resolution of conventional microchannel plate detectors indicating that this type of experiment is feasible. Our analysis also determines the experimental parameters that will give an accurate determination of the weak value of spin. Preliminary experimental results are shown for helium, neon and argon in the 23S1 and 3P2 metastable states, respectively.A method for measuring the weak value of spin for atoms is proposed using a variant of the original Stern-Gerlach apparatus. A full simulation of an experiment for observing the real part of the weak value using the impulsive approximation has been carried out. Our predictions show a displacement of the beam of helium atoms in the metastable 23S1 state, Δw, that is within the resolution of conventional microchannel plate detectors indicating that this type of experiment is feasible. Our analysis also determines the experimental parameters that will give an accurate determination of the weak value of spin. Preliminary experimental results are shown for helium, neon and argon in the 23S1 and 3P2 metastable states, respectively.

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The weak measurement process and the weak value of spin for metastable helium

2^{3}S_{1}

A method for measuring the real part of the weak (local) value of spin is presented using a variant on the original Stern-Gerlach apparatus. The experiment utilises metastable helium in the

\rm 2^{3}S_{1}

state. A full simulation using the impulsive approximation has been carried out and it predicts a displacement of the beam by

\rm Δ_{w} = 17 - 33\,μm

. This is on the limit of our detector resolution and we will discuss ways of increasing

\rm Δ_{w}

. The simulation also indicates how we might observe the imaginary part of the weak value.

We present a new measurement of the

s

-wave scattering length

a

of spin-polarized helium atoms in the

2\text{ }^{3}S_{1}

metastable state. Using two-photon photoassociation spectroscopy and dark resonances, we measure the energy ${E}_{v=14}=\ensuremath{-}91.35\ifmmode\pm\else\textpm\fi{}0.06\text{ }\text{ }\mathrm{MHz}$ of the least-bound state

v=14

in the interaction potential of the two atoms. We deduce a value of $a=7.512\ifmmode\pm\else\textpm\fi{}0.005\text{ }\text{ }\mathrm{nm}$, which is at least 100 times more precise than the best previous determinations and is in disagreement with some of them. This experiment also demonstrates the possibility to create exotic molecules binding two metastable atoms with a lifetime of the order of $1\text{ }\text{ }\ensuremath{\mu}\mathrm{s}$.