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Imaging trapped quantum gases by off-axis holography

Jasper Smits, Allard P. Mosk, P. van der Straten, Sub Nanophotonics, Nanophotonics

Published Feb 15, 2020• 7 citations
OpenAlex

Abstract

We present a dispersive imaging method for trapped quantum gases based on digital off-axis holography. Both phase delay and intensity of the probe field are determined from the same image. Due to the heterodyne gain inherent to the holographic method, it is possible to retrieve the phase delay induced by the atoms at probe beam doses two orders of magnitude lower than phase-contrast imaging methods. Using the full field of the probe beam, we numerically correct for image defocusing.

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We present a dispersive imaging method for trapped quantum gases based on digital off-axis holography. Both phase delay and intensity of the probe field are determined from the same image. Due to the heterodyne gain inherent to the holographic method, it is possible to retrieve the phase delay induced by the atoms at probe beam doses two orders of magnitude lower than phase-contrast imaging methods. Using the full field of the probe beam, we numerically correct for image defocusing.
We introduce a noninvasive imaging technique based on spin-dependent off-axis holography for spin-1 Bose-Einstein condensates. Utilizing a dual reference beam strategy, this method records two orthogonal circular polarization components of a single probe beam. The circular birefringence of spin-polarized atoms induces differing complex phase shifts in the polarization components of the light, which are reconstructed from the interference patterns captured on camera. Our approach enables spin- and density-resolved imaging of both phase and amplitude information in situ on a submillisecond timescale with minimal disturbance to the condensate. We explore the technique's efficacy under various background static fields, demonstrating its sensitivity to the quantization axis of the atoms and confirming its effectiveness.
We theoretically develop and experimentally demonstrate a holographic method for imaging cold atoms at the diffraction and photon shot noise limits. Aided by a double point source reference field, a simple iterative algorithm robustly removes the twin image of an 87 Rb cold atom sample during the image reconstruction. Shot-noise limited phase shift and absorption images are consistently retrieved at various probe detunings, and during the laser cooling process. We consistently resolve less than 2 mrad phase shift ( attenuation) of the probe light, outperforming shot-noise limited phase-contrast (absorption) imaging by a factor of 4 or more if the same camera is used without pixel saturation. We discuss the possible extension of this work for precise phase imaging of dense atomic gases, and for off-resonant probing of multiple atoms in optical lattices.
Quantum imaging with undetected light (QIUL) can retrieve amplitude and phase information of an object by exploiting the quantum correlations of photon-pairs generated through spontaneous parametric down conversion (SPDC), where the illumination and detection can be carried at very distinct wavelength ranges. This fact allows to benefit from a mature detection technology in the visible spectral range, while probing the object at a more exotic wavelength. Here we experimentally implement a QIUL approach with Fourier off-axis holography in a hybrid-type induced-coherence non-linear interferometer. Our approach reconstructs the amplitude and phase information of an object with a single shot in a wide-field configuration, being an alternative in front of techniques that require multiple acquisition frames, such as phase-shifting holography.
Quantum Imaging with Undetected Light (QIUL) leverages the quantum correlations of photon pairs, generated via spontaneous parametric down-conversion (SPDC), to extract both the amplitude and phase information of an object [1]. This process facilitates the simultaneous illumination and detection across a diverse spectral range, harnessing advanced detection technology within the visible spectrum while probing the object at an unconventional wavelength. In this study, we provide an experimental scheme of a QIUL that merges Fourier off-axis holography with a hybrid-type induced-coherence nonlinear interferometer [2], [3], combining a March-Zender and Michelson interferometer to be able to angle-tune the object and reference beams in a wider range of values, and therefore accessing to the full capabilities offered by the Fourier space [4], [5]. Our methodology in a wide-field configuration requires only a single-shot to reconstruct the amplitude and phase data of an object, thus introducing a strong alternative to sequential multi-frame acquisition techniques such as digital phase-shifting holography [6]. Figure 1 shows the image reconstruction process to extract the amplitude and phase information out of the single-photon hologram, a Fast Fourier Transform (FFT) of the hologram reveals the diffraction term containing the object information to be cropped and inverse Fourier transformed to extract a complex image from which the amplitude and phase are retrieved.
We introduce a novel, non-invasive imaging technique based on spin-dependent off-axis holography (SOAH) for spin-1 Bose-Einstein condensates (BECs). Utilizing a dual reference beam strategy, this method records two orthogonal circular polarization components of a single probe beam. The circular birefringence of spin-polarized atoms induces differing complex phase shifts in the polarization components of the light, which are reconstructed from the interference patterns captured on camera. Our approach enables spin- and density-resolved imaging of both phase and amplitude information \emph{in-situ} on a sub-millisecond time scale with minimal disturbance to the condensate. We explore the technique's efficacy under various background static fields, demonstrating its sensitivity to the quantization axis of the atoms and confirming its effectiveness.