2026-09-22T03:30:33Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/127138 2025-03-29 col_2142_5131 col_2142_8859 com_2142_5130 com_2142_8858 com_2142_234

application/pdf en text Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2025-03-28 without embargo terms The student, Sai Paladugu, accepted the attached license on 2024-08-09 at 11:48. The student, Sai Paladugu, submitted this Dissertation for approval on 2024-08-09 at 11:58. This Dissertation was approved for publication on 2024-08-15 at 10:09. DSpace SAF Submission Ingestion Package generated from Vireo submission #21188 on 2025-03-28 at 14:24:52 Ultracold atoms for synthetic one-dimensional quasicrystals Paladugu, Sai Naga Manoj 2024-08-15 Gadway, Bryce R DeMarco, Brian L Draper, Patrick I Eckstein, James N Quantum Simulation Atomic Molecular And Optical Physics Synthetic Dimensions Fibonacci Quasicrystal Quasicrystals Momentum-state Lattice Potassium Rubidium Bose-einstein Condensate Optical Lattice Optical Dipole Trap Condensed Matter Physics eng Quantum simulation can provide insights into quantum many-body systems, which may otherwise be intractable due to an exponentially growing Hilbert space as more particles and degrees of freedom are considered in the system. In our work, we focus on a specific type of quantum simulation technique based on spectroscopic coupling of discrete atomic momentum states, dubbed momentum-state lattices. Previous work in this area focused on physics at the single-particle level, with interactions being treated only at the level of mean-field theory. This motivated us to pursue the production of a quantum gas of potassium-39, whose easily accessible Feshbach resonances can be used to tune the collisional properties of atoms in the gas, and hence give direct control over interactions. While we were ultimately unable to make a quantum gas of potassium-39, we detail our progress from magneto-optical trapping, sub-Doppler cooling, optical trapping, state preparation, and observation of Feshbach resonances in the first part of this thesis. In the second part of this thesis, we describe the production of a quantum gas of rubidium-87 via all-optical evaporative cooling. Then, we delve into the theory and experimental implementation of our momentum-state lattice technique in one-dimension. We discuss how we use our synthetic lattice technique to emulate transport in a Fibonacci quasicrystal. Finally, we present some future prospects in generating entangled momentum states via collisional interactions. 2024-12 Thesis https://hdl.handle.net/2142/127138 This work is licensed under a Creative Commons "Attribution-NonCommercial 4.0 International" license. Physics Physics University of Illinois at Urbana-Champaign Ph.D. Dissertation