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arXiv:1805.10574 · Review of Scientific Instruments

A three-dimensional steerable optical tweezer system for ultracold atoms

C. S. Chisholm, R. Thomas, A. B. Deb, N. Kjærgaard

Published Oct 1, 2018• 16 citations
arXivHTMLPDF

Abstract

We present a three-dimensional steerable optical tweezer system based on two pairs of acousto-optic deflectors. Radio frequency signals used to steer the optical tweezers are generated by direct digital synthesis, and multiple time averaged cross beam dipole traps can be produced through rapid frequency toggling. We produce arrays of ultracold atomic clouds in both horizontal and vertical planes and use this to demonstrate the three-dimensional nature of this optical tweezer system.

DOI
10.1063/1.5041481

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physics.opticsCross-listedarXiv:2512.16774•Dec 19, 2025
We present a three-dimensional steerable optical tweezer system based on two pairs of acousto-optic deflectors. Radio frequency signals used to steer the optical tweezers are generated by direct digital synthesis, and multiple time averaged cross beam dipole traps can be produced through rapid frequency toggling. We produce arrays of ultracold atomic clouds in both horizontal and vertical planes and use this to demonstrate the three-dimensional nature of this optical tweezer system.
We report on the implementation of an optical tweezer system for controlled transport of ultracold atoms along a narrow, static confinement channel. The tweezer system is based on high-efficiency acousto-optic deflectors and offers two-dimensional control over beam position. This opens up the possibility for tracking the transport channel when shuttling atomic clouds along it, forestalling atom spilling. Multiple clouds can be tracked independently by time-shared tweezer beams addressing individual sites in the channel. The deflectors are controlled using a multichannel direct digital synthesizer, which receives instructions on a submicrosecond time scale from a field-programmable gate array. Using the tweezer system, we demonstrate sequential binary splitting of an ultracold 87Rb cloud into 2(5) clouds.
We use optical tweezers based on time-multiplexed acousto-optic deflectors to trap ultracold cesium atoms in one-dimensional arrays of atomic ensembles. For temperatures between $2.5\phantom{\rule{0.16em}{0ex}}\ensuremath{\mu}\mathrm{K}$ and 50nK50\phantom{\rule{0.16em}{0ex}}\mathrm{nK}50nK we study the maximal time between optical tweezer pulses that retains the number of atoms in a single trap. This time provides an estimate of the maximal number of sites in an array of time-multiplexed optical tweezers. We demonstrate evaporative cooling of atoms in arrays of up to 25 optical tweezer traps and the preparation of atoms in a box potential. Additionally, we demonstrate three different protocols for the preparation of atomic-ensemble arrays by transfer from an expanding ultracold atomic cloud. These result in the preparation of arrays of up to 74 atomic ensembles consisting of $\ensuremath{\sim}100$ atoms on average.
This thesis describes the design and construction of a three-dimensional optical tweezer system. The three-dimensional aspects were constructed as a modular upgrade to a previously existing one-dimensional system and were characterised using 87Rb with avenues for future research using 40K in mind. The three-dimensional optical tweezer system was used to demonstrate multiple Bose-Einstein condensation in horizontal and vertical planes and gravitationally driven atomic collisions.\n\nIn order to take advantage of the three-dimensional nature of the optical tweezer system and to build capabilities with Rydberg quantum optics, vortex lattice studies and atom interferometry, a vertical imaging path was added to the existing experiment. Compared with the existing horizontal imaging path, the vertical imaging path has higher spatial resolution. A magnetic levitation scheme was implemented to prevent depth of focus issues due to atoms falling under the influence of gravity during ballistic expansion in time-of-flight. The levitation scheme was also used to increase the maximum time-of-flight using the horizontal imaging path by more than a factor of two. The improved resolution enabled observation of matter wave interference fringes for the first time in the Kjaergaard lab, which is a first step towards the study of quantum vortices.
Reconfigurable arrays of neutral atoms are a leading platform for quantum computing, quantum simulation, and quantum metrology. The most common method for atom reconfiguration using optical tweezers relies on frequency chirping of acousto-optic deflectors (AODs). However, chirp-induced acoustic lensing limits the speed of atom transport by deformation of the tweezer profile and warping of the tweezer trajectory. We use a three-dimensional acousto-optic deflector lens (3D-AODL) to mitigate both effects, a design predicted to halve current state-of-the-art long-range transport times. Additionally, we introduce fading-Shepard waveforms that bypass the finite AOD bandwidth and thus enable sustained axial displacement. We demonstrate unrestricted 3D motion within a cuboid volume of at least 200 μm × 200 μm × 136 μm, with tweezer velocities exceeding 4.2 m/s. The ability to move optical tweezers along arbitrary trajectories in 3D should enable rapid in-plane and out-of-plane rearrangement of atoms in 2D or 3D tweezer arrays and optical lattices, as well as omnidirectional trajectories and dynamical engineering of optical potentials. This technology has the potential to advance quantum control and atom manipulation in current atom-array quantum computers, boosting clock rates and enabling rapid sorting in geometries scalable to millions of qubits.
This thesis documents the development of a frequency source based on a field pro-grammable gate array (FPGA) and a direct digital synthesiser (DDS). The source was used to drive the two inputs of a dual-axis acousto-optic deflector (AOD), an integral component in a steerable optical tweezer unit designed for use with ultracold 87Rb and 40K. By synchronously changing the frequencies of the paired inputs to the AOD, an optical beam was able to be moved in two dimensions. The frequency source was used to trap and smoothly move samples of ultracold 87Rb over several millimetres, and by quickly toggling the inputs between multiple pairs of frequencies, multiple clouds were confined and moved in time-averaged potentials. The utility of the FPGA/DDS unit is shown, most notably by simultaneously evaporating four independent clouds through the Bose-Einstein Condensate (BEC) phase transition. ii Acknowledgements I’ve been very fortunate to have had such profound role models during my time in the
Acousto-optic deflectors (AOD) enable spatiotemporal control of laser beams through diffraction at an ultrasonic grating that is controllable by radio-frequency (rf) waveforms. These devices are a widely used tool for high-bandwidth random-access scanning applications, such as optical tweezers in quantum technology. A single AOD can generate multiple optical tweezers by multitone rf input in one dimension. Two-dimensional (2D) patterns can be realized with two perpendicularly oriented AODs. As the acousto-optical response depends nonlinearly on the applied frequency components, phases, and amplitudes, and in addition experiences dimensional coupling in 2D setups, intensity regulation becomes a unique challenge. Guided by coupled-wave theory and experimental observations, we derive a compute-efficient model which we implement on a graphics processing unit. Only one-time sampling of single-tone laser-power calibration is needed for model parameter determination, allowing for straight-forward integration into optical instruments. We implement and experimentally validate an open-loop diffraction efficiency control system that enables programmable 2D multibeam trajectories with intensity control applied at every time step during digital signal generation, overcoming the limited flexibility, pattern-size constraints, and bandwidth limitations of methods using precalculation and precalibration of a predefined pattern set or closed-loop feedback. The system is capable of stable real-time waveform streaming of arrays with up to 50 x 50 tweezers with minimal time resolution of 1.4 ns (700 MS/s) and a peak latency below 257 microseconds for execution of newly requested patterns. Reactive, real-time 2D multibeam laser patterning and scanning with strict intensity matching will substantially benefit parallelization and increasing data rates in materials processing, microscopy, and optical tweezers.