Spin-charge separation in a 1D Fermi gas with tunable interactions

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dc.contributor.advisorHulet, Randall Gen_US
dc.creatorCavazos Cavazos, Danyel Eduardoen_US
dc.date.accessioned2023-01-04T20:28:06Zen_US
dc.date.available2023-01-04T20:28:06Zen_US
dc.date.created2022-12en_US
dc.date.issued2022-12-01en_US
dc.date.submittedDecember 2022en_US
dc.date.updated2023-01-04T20:28:06Zen_US
dc.description.abstractInteracting fermions that are confined to 1D can only support collective excitations and are thus governed by the Tomonaga-Luttinger liquid (TLL) theory, in which collective excitations decouple into charge and spin modes instead of particle-like excitations. Over the course of this work we have realized analog quantum simulations of the TLL model using a 6-Li atomic system. By taking advantage of a magnetic Feshbach resonance we readily tune the interactions of the sample so that we can transition from a non-interacting gas to either a strongly repulsive or a strongly attractive system, and probe the dynamics of the system within these regimes. By using low-momentum Bragg spectroscopy we were able to measure and characterize the spin-charge separation of a TLL. Our work also presents the first observation of spin and charge density waves that are separately excited from the ground state through a Bragg perturbation. The observed dynamical response function of the spin and charge excitations remarkably captures both the universal behavior of the Tomonaga-Luttinger liquid, as well as the non-linear effects related to the band curvature effect in the charge sector and the back-scattering interaction effect in the spin sector. Up to now considering higher-order corrections to the linear dispersion in either the spin or charge degrees of freedom had remained out of reach for both theory and experiment. In addition to this, we also realized a spin-incoherent Luttinger liquid and characterized its temperature crossover between the coherent and incoherent regimes. On the attractive interactions regime we observe an inversion of spin-charge separation, and we also have seen preliminary signatures of confinement-induced 1D bound states.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationCavazos Cavazos, Danyel Eduardo. "Spin-charge separation in a 1D Fermi gas with tunable interactions." (2022) Diss., Rice University. <a href="https://hdl.handle.net/1911/114211">https://hdl.handle.net/1911/114211</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/114211en_US
dc.language.isoengen_US
dc.rightsCopyright 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.en_US
dc.subjectAtomic Physicsen_US
dc.subjectFermi gasesen_US
dc.subjectLuttinger liquidsen_US
dc.subjectSpin-charge separationen_US
dc.titleSpin-charge separation in a 1D Fermi gas with tunable interactionsen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentPhysics and Astronomyen_US
thesis.degree.disciplineNatural Sciencesen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelDoctoralen_US
thesis.degree.nameDoctor of Philosophyen_US
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