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Design of a high numerical aperture vacuum chamber for 3D optical lattice experiments

Singh, Bhagwan

Published Apr 21, 2022• 0 citations
OpenAlex

Abstract

The next generation of 3D optical lattice experiments requires a new vacuum chamber design. In the past, a 3D optical lattice apparatus in our lab was used to create and observe antiferromagnetic (AFM) coorelations within a 6Li-based degenerate Fermi gas. In that experiment, implementing anti-trapping beams overlapped with the standard lattice beams allowed the potential landscape to be made smoother, in an effort to increase the spatial extent of the AFM phase. Nevertheless, preparing atoms to be even cooler, and further extending the region of interest requires newer solutions. One method is to use the anti-trapping beams in a slightly different manner. By utilizing a higher numerical aperture optical beam line for anti-trapping, finer adjustments can be made in the potential. Combined with digital-micromirror based holography techniques. the anti-trapping beams can be custom-shaped to carve even finer details into the optical lattice. With sufficient control over beamshaping, one could perform better entropy re-distribution within the atom cloud. In this way, the central AFM region can be made colder by pushing entropy out to the wings. In this thesis, I will detail the work done in analyzing and designing a new chamber to fulfill the previously mentioned features.

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The next generation of 3D optical lattice experiments requires a new vacuum chamber design. In the past, a 3D optical lattice apparatus in our lab was used to create and observe antiferromagnetic (AFM) coorelations within a 6Li-based degenerate Fermi gas. In that experiment, implementing anti-trapping beams overlapped with the standard lattice beams allowed the potential landscape to be made smoother, in an effort to increase the spatial extent of the AFM phase. Nevertheless, preparing atoms to be even cooler, and further extending the region of interest requires newer solutions. One method is to use the anti-trapping beams in a slightly different manner. By utilizing a higher numerical aperture optical beam line for anti-trapping, finer adjustments can be made in the potential. Combined with digital-micromirror based holography techniques. the anti-trapping beams can be custom-shaped to carve even finer details into the optical lattice. With sufficient control over beamshaping, one could perform better entropy re-distribution within the atom cloud. In this way, the central AFM region can be made colder by pushing entropy out to the wings. In this thesis, I will detail the work done in analyzing and designing a new chamber to fulfill the previously mentioned features.
Optical lattice experiments have proved to be a versatile tool for studying strongly correlated quantum systems. The motivation behind these experiments is to use the cold atoms to emulate a solid state system for which the Hamiltonian is analytically or numerically non-solvable. In our experiment, we construct a 3D simple cubic lattice system which realizes the Fermi-Hubbard model and provides us the opportunity to study the antiferromagnetic (AFM) insulator phase. In order to establish evaporative cooling in the optical lattice and to enlarge the size of the AFM phase, we implement a compensation potential additional to the standard lattice beam. In this thesis, I will present detailed steps to construct and calibrate the compensated 3D optical lattice system.
A cold atom experiment can be used to simulate analogous solid-state systems. This provides the bene�t of having a high degree of control over the system parameters and allowing direct detection methods. Disordered transport is one example of where such a system has much to o�er. This thesis concerns the development of a Bose-Fermi mixture experiment for study of two-dimensional optical lattice systems. To achieve single site resolution of the lattice, the experiment makes use of a double microscope set-up. One microscope provides imaging and the second is used to image a spatial light modulator onto the atomic plane. This provides an extremely versatile potential landscape for a trapped cloud. This thesis presents an overview of the set-up of the experiment including progress towards condensation. Particular focus is given to the design and characterisation of the vacuum system and the combined double microscope and spatial light modulator system. The vacuum system design requires a narrow magneto-optical trapping chamber. A novel epoxy sealing technique has been developed, allowing construction of a chamber of just 36mm thickness whilst maintaining high optical access. To provide illumination for the spatial light modulator a technique for homogenising the output of multi-mode �bre has been developed.
In this thesis, I present single-site detection of neutral atoms stored in a three-dimensional optical lattice using a numerical aperture objective lens (NAdesign = 0.92). The combination of high-resolution imaging with state-dependent trapping along two-direction of the lattice opens up the path towards quantum simulations via quantum walks. Suppressing the interactions of a quantum system with the environment is essential for all quantum simulation experiments. It demands a precise control of both the external magnetic (stray) fields and the polarization properties of laser beams inside the vacuum chamber. I designed a metal shielding to reduce magnetic field fluctuations and designed, assembled and characterized a novel ultra-high vacuum glass cell. The glass cell consists of special glass material and exhibits an ultra-low birefringence Δn of a few times 10^-8 to highly suppress polarization disturbances originating from stress birefringence in vacuum windows. Furthermore, anti-reflection coatings avoid reflections on all window surfaces. The cell hosts the assembled vacuum-compatible objective, that exhibits a diffraction limited resolution of up to 453 nm and allows to optically resolve the spacing of the optical lattice. Fluorescence images of single trapped atoms are used to characterize the imaging system. The filling, orientation and geometry of the optical lattice is precisely reconstructed using positions of atoms that can be determined from fluorescence images. Furthermore, I present a scheme to realize state-dependent transport and discuss its robustness against experimental imperfections in a technical implementation. This transport scheme enable the realization of discrete-time quantum walks with neutral atoms in two dimensions. These quantum walks pave the way towards the simulation of artificial magnetic fields and topologically protected edge states.
A high imaging resolution or a tight focus of a laser beam imposes a certain minimal numerical aperture (NA) of the optical system. Macroscopic high NA lenses constraint strongly the spatial organization of experiments, in particular when imaging or trapping cold atoms inside a vacuum chamber. Multimode fibers, in conjunction with spatial light modulators, offer an interesting alternative to high NA lenses. Indeed, they are flexible optical waveguides with very small transverse dimensions (∼ 100 μm), and reasonably high NA (up to 0.5). For those reasons, the use of multimode fibers for imaging or laser manipulation purposes has been widely studied in the past years. Here, we transfer these techniques to the field of cold atoms with a multimode fiber forming a compact optical bridge between the inside and the outside of an ultra-high vacuum chamber. We manipulate atoms with laser beams produced through the fiber by digital optical phase conjugation with a spatial light modulator. We are able to transport a small cloud of cold rubidium atoms with a moving optical lattice at about 200 μm from the fiber tip. We can then load them in small optical tweezers with a waist of 1.2 μm. By characterizing the propagation of light modes inside the fiber, we numerically invert its transformation and we reconstruct absorption images of the trapped atoms with a resolution of approximately 1 μm. These results pave the way towards the efficient use of multimode fibers in spatially constrained quantum technology platforms relying on cold atoms.
The imaging of neutral atoms confined in an optical lattice has been demonstrated by a number of groups, resolving single fluorescing atoms in samples of hundreds of atoms. To obtain a high signal the atoms remain confined in the wells of a deep optical lattice whilst fluorescence excitation light is applied for high resolution imaging. In most cases, the excitation light frequency is chosen so that there is a concomitant laser cooling effect. In existing implementations of an imaging lattice the preceding manipulation stage has used optical trapping and manipulation. In this thesis I describe work towards applying this imaging lattice technique on a magnetic trapping apparatus, in particular for carrying out quantum simulation experiments. An introduction to the specific challenge of performing a quantum simulation of the fractional quantum Hall effect is given, with the link to and nature of the imaging lattice technique explained. The existing quantum-gas machine that has been developed to produce Bose-Einstein condensates of 87Rb in this work is then described, including the new optical lattice subsystem and the associated diode laser system. An auxiliary project to develop a servo-control system for frequencies that are several GHz away from an atomic reference is presented. We implement an optical lattice using laser light with a frequency detuning of -20 GHz below the D1-resonance line. The construction and geometry of the individual dipole trapping beams in combination with our existing apparatus is discussed as well as the alignment methods used. We confirm the presence of three independent 1D lattices through diffraction, and observe the decay of a BEC loaded into a lattice using absorption imaging. We observe good long-term alignment and operational stability of the optical lattice. This system will enable us to ultimately detect single fluorescing atoms in the optical lattice, following the application of excitation light co-propogating with lattice beams, via an imaging system with a moderate numerical aperture of 0:27.