Lattice-depth measurement using multi-pulse atom diffraction in and beyond the weakly diffracting limit

Abstract

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.

13 pages, 6 figures

References in corpus (18)

• Many-Body Physics with Ultracold Gases
• Atom Interferometers
• Creation of ultracold ${}^{87}$RbCs molecules in the rovibrational ground state
• Control of Interaction-Induced Dephasing of Bloch Oscillations
• Precision Measurement of Transition Matrix Elements via Light Shift Cancellation
• Controlling Polar Molecules in Optical Lattices
• Precision Measurement of the 87-Rb Tune-Out Wavelength in the Hyperfine Ground State F=1 at 790 nm
• Anisotropic dependence of tune-out wavelength near Dy 741-nm transition
• Matter wave scattering on an amplitude-modulated optical lattice
• Phase Noise in the Delta Kicked Rotor: From Quantum to Classical
• Ultrarobust calibration of an optical lattice depth based on a phase shift
• The manifestation of quantum resonances and antiresonances in a finite temperature dilute atomic gas
• Talbot-enhanced, maximum-visibility imaging of condensate interference
• Quantum Mechanical Cumulant Dynamics near Stable Periodic Orbits in Phase Space: Application to the classical-like dynamics of quantum accelerator modes
• Power-law behavior in the quantum-resonant evolution of the delta-kicked accelerator
• Atom interferometry using $\delta$-kicked and finite duration pulse-sequences
• Fractional resonances in the atom-optical delta-kicked accelerator
• An $\epsilon$-pseudoclassical model for quantum resonances in a cold dilute atomic gas periodically driven by finite-duration standing-wave laser pulses

Cited by in corpus (2)

• Experimental study of tune-out wavelengths for spin-dependent optical lattice in ${}^{87}$Rb Bose-Einstein condensation
• Lattice-depth measurement using continuous grating atom diffraction