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Lattice-depth measurement using multipulse atom diffraction in and beyond the weakly diffracting limit.

Beswick, Benjamin T. and Hughes, Ifan G. and Gardiner, Simon A. (2019) 'Lattice-depth measurement using multipulse atom diffraction in and beyond the weakly diffracting limit.', Physical review A., 99 (1). 013614.


Precise knowledge of optical lattice depths is important for a number of areas of atomic physics, most notably in quantum simulation, atom interferometry, and for the accurate determination of transition matrix elements. In such experiments, lattice depths are often measured by exposing an ultracold atomic gas to a series of off-resonant laser-standing-wave pulses, and fitting theoretical predictions for the fraction of atoms found in each of the allowed momentum states by time-of-flight measurement, after some number of pulses. We present a full analytic model for the time evolution of the atomic populations of the lowest momentum states, which is sufficient for a “weak” lattice, as well as numerical simulations incorporating higher momentum states for both relatively strong and weak lattices. Finally, we consider the situation where the initial gas is explicitly assumed to be at a finite temperature.

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Publisher statement:Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.
Date accepted:07 December 2018
Date deposited:18 January 2019
Date of first online publication:16 January 2019
Date first made open access:18 January 2019

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