Phases in Ultracold Interacting Rydberg Atom Systems With The Su-Schrieffer-Heeger Model Engineered On A Synthetic Dimension

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dc.contributor.advisorHazzard, Kadenen_US
dc.creatorDyall, Charlesen_US
dc.date.accessioned2023-08-10T18:28:31Zen_US
dc.date.available2023-08-10T18:28:31Zen_US
dc.date.issued2023en_US
dc.description.abstractSynthetic dimensions encoded into atomic states have emerged as a powerful tool for engineering new phases of matter. These synthetic dimensions are helpful in accessing confgurations that are difcult or impossible to simulate using real space alone. Using Rydberg states to encode these synthetic dimensions allows a high level of control over system parameters. Here we use a mean-feld theory approach to investigate phases of matter that occur in Rydberg atoms with attractive interaction in real space with the synthetic dimension encoded such that it emulates a Su-Schriefer-Heeger (SSH) model lattice. We fnd that this model displays both two and three-site quantum strings in the ground state that demonstrate substantial crossover with larger strings and two-site string phases, respectively.en_US
dc.format.extent15 ppen_US
dc.identifier.citationDyall, Charles. "Phases in Ultracold Interacting Rydberg Atom Systems With The Su-Schrieffer-Heeger Model Engineered On A Synthetic Dimension." Undergraduate thesis, Rice University, 2023. https://doi.org/10.25611/X1X4-XK77.en_US
dc.identifier.digitalCharlesDyall_SeniorThesisen_US
dc.identifier.doihttps://doi.org/10.25611/X1X4-XK77en_US
dc.identifier.urihttps://hdl.handle.net/1911/115221en_US
dc.language.isoengen_US
dc.publisherRice Universityen_US
dc.rightsExcept where otherwise noted, this work is licensed under a Creative Commons Attribution (CC BY) license. Permission to reuse, publish, or reproduce the work beyond the terms of the license or beyond the bounds of Fair Use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/en_US
dc.subjectPhysicsen_US
dc.subjectSynthetic Dimensionsen_US
dc.subjectRydberg Atomsen_US
dc.subjectMean Field Theoryen_US
dc.subjectAMOen_US
dc.subjectCondensed Matteren_US
dc.subjectUltracolden_US
dc.titlePhases in Ultracold Interacting Rydberg Atom Systems With The Su-Schrieffer-Heeger Model Engineered On A Synthetic Dimensionen_US
dc.type.dcmiTexten_US
dc.type.genreThesisen_US
thesis.degree.departmentPhysics & Astronomyen_US
thesis.degree.disciplineNatural Sciencesen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelUndergraduateen_US
thesis.degree.nameSenior Thesisen_US
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