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Journal of the Optical Society of America B

Nondestructive lensless imaging on cold rubidium atoms

Ying-Siang Wang, Po-Jui Tseng, Chih-Chieh Lin, Hung-Shiue Chen, D. J. Han

Published Jan 5, 2017• 1 citation
Publisher

Abstract

We report experimental realization of lensless imaging on cold rubidium atoms confined in a magneto-optical trap. This imaging scheme relies on the off-resonant light refraction from the cold atoms and is employed in a phase-tunable Mach–Zehnder interferometer, accompanied with phase-shifting interferometry. With this setup, it allows obtaining the probe light phase distribution in the far field after passing the atoms, from which the near-field phase image of the atomic cloud is retrieved using the Fresnel–Kirchhoff integral. We show the phase images can be effectively reconstructed, and the measured two-dimensional phase distributions are in good agreement with the theory.

DOI
10.1364/josab.34.000287

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We report experimental realization of lensless imaging on cold rubidium atoms confined in a magneto-optical trap. This imaging scheme relies on the off-resonant light refraction from the cold atoms and is employed in a phase-tunable Mach–Zehnder interferometer, accompanied with phase-shifting interferometry. With this setup, it allows obtaining the probe light phase distribution in the far field after passing the atoms, from which the near-field phase image of the atomic cloud is retrieved using the Fresnel–Kirchhoff integral. We show the phase images can be effectively reconstructed, and the measured two-dimensional phase distributions are in good agreement with the theory.
We propose a lens-free nondestructive imaging method for cold atomic clouds using a Gaussian beam accompanied with phase shifting interferometry. This scheme requires no imaging lens. Hence, aberrations associated with it are completely eliminated and mechanical focusing can be avoided. Compared with the common single-beam nondestructive means, our proposed scheme lowers the energy per probe pulse delivered to the cold samples by almost three orders of magnitude, due to signal enhancement inherently provided in the two-beam configuration. Moreover, higher image resolution is attainable by magnifying the far-field interference distribution using a divergent Gaussian beam. We examine this novel lensless detection means for in situ imaging on typical cold atomic clouds under experimentally achievable conditions. Our simulations show the cloud position can be precisely determined, depending upon the cloud size and probe parameters, with an uncertainty from a few hundreds of micrometers to only a few micrometers, and the spatial resolution of the retrieved phase image can reach the diffraction limit.
We propose a scheme to engage phase shifting interferometry on cold atomic samples and present the simulation results under several experimentally achievable conditions nowadays. This method allows far-detuning, low power probing, and is intrinsically nondestructive. This novel detection means yields image quality superior to the conventional phase contrast imaging at certain conditions and could be experimentally realized. Furthermore, the longitudinal resolution of imaging by this manner is mainly set by optical interference and can be better than the diffraction limit. This scheme also provides special advantages to diagnose the surface-trapped clouds, with which phase imaging on the fabricated wires and atoms altogether is possible as well.
Abstract We present the experimental demonstration of nondestructive detection of 171Yb atoms in a magneto-optical trap (MOT) based on phase shift measurement induced by the atoms on a weak off-resonant laser beam. After loading a green MOT of 171Yb atoms, the phase shift is obtained with a two-color Mach–Zehnder interferometer by means of ±45 MHz detuning with respect to the 1S0–1P1 transition. We measured a phase shift of about 100 mrad corresponding to an atom count of around 5 × 105. This demonstrates that it is possible to obtain the number of atoms without direct destructive measurement compared with the absorption imaging method. This scheme could be an important approach towards a high-precision lattice clock for clock operation through suppression of the impact of the Dick effect.
We demonstrate a new method for nondestructive imaging of laser-cooled atoms. This spatial heterodyne technique forms a phase image by interfering a strong reference laser beam with a weak probe beam that passes through the cold atom cloud. The figure of merit equals or exceeds that of phase-contrast imaging, and the technique can be used over a wider range of spatial scales. We show images of a dark-spot magneto-optic trap taken with imaging fluences as low as 61 pJ/cm(2) at a detuning of 11? , resulting in 0.0004 photons scattered per atom.
A method for nondestructive characterization of a dipole-trapped atomic sample is presented. It relies on a measurement of the phase shift imposed by cold atoms on an optical pulse that propagates through a free-space Mach-Zehnder interferometer. Using this technique we are able to determine, with very good accuracy, relevant trap parameters such as the atomic sample temperature, trap oscillation frequencies, and loss rates. Another important feature is that our method is faster than conventional absorption or fluorescence techniques, allowing the combination of high-dynamical range measurements and a reduced number of spontaneous emission events per atom.
We demonstrate a new imaging technique for cold atom clouds based on phase retrieval from a single diffraction measurement. Most single-shot diffractive imaging methods for cold atoms assume a monomorphic object to extract the column density. The method described here allows quantitative imaging of an inhomogeneous cloud, enabling recovery of either the atomic density or the refractive index, provided the other is known. Using ideas borrowed from density functional theory, we calculate the approximate paraxial diffracted intensity derivative from the measured diffracted intensity distribution and use it to solve the Transport of Intensity Equation (TIE) for the phase of the wave at the detector plane. Back-propagation to the object plane yields the object exit surface wave and then provides a quantitative measurement of either the atomic column density or refractive index. Images of homogeneous clouds showed good quantitative agreement with conventional techniques. An inhomogeneous cloud was created using a cascade electromagnetically induced transparency scheme and images of both phase and amplitude parts of refractive index across the cloud were separately retrieved, showing good agreement with theoretical results.