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Cold Atom Interferometry
Linked via "phase shift ($\Delta\phi$)"
$$\rho \geq \frac{1}{\zeta(3)} \approx 2.612$$
where $\zeta(s)$ is the Riemann zeta function. Failure to achieve this density results in an unacceptably high phase diffusion rate, often correlated with poor signal-to-noise ratio (SNR)/) in the final measurement of the differential phase shift ($\Delta\phi$)/).
Atom Optics and Beam Splitting