Hulet, Randall G2019-05-172019-05-172018-082018-05-10August 201Yang, Tsung-Lin. "Dynamical Response of an Interacting 1-Dimensional Fermi Gas." (2018) Diss., Rice University. <a href="https://hdl.handle.net/1911/105795">https://hdl.handle.net/1911/105795</a>.https://hdl.handle.net/1911/105795Ultracold atoms with optical lattices provide a highly tunable system to measure the dynamic structure factor, $S(q,\omega)$, of an interacting one-dimensional (1D) Fermi gas. We use the two lowest hyperfine levels of the $^6$Li atom to form a pseudo-spin-1/2 system whose interactions are tunable via a Feshbach resonance. Bragg spectroscopy is used to measure the dynamic response of the 1D system to density (``charge'') mode excitations at a momentum $q$ and frequency $\omega$. In this thesis, we provide a quantitative comparison between the experimental result and the theoretical calculations based on Tomonaga-Luttinger theory.application/pdfengCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.Tomonaga-Luttinger liquidone-dimension physicsfermionoptical latticeThesis2019-05-17