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, Kaden
dc.creatorDyall, Charles
dc.date.accessioned2023-08-10T18:28:31Z
dc.date.available2023-08-10T18:28:31Z
dc.date.issued2023
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.
dc.format.extent15 pp
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.
dc.identifier.digitalCharlesDyall_SeniorThesis
dc.identifier.doihttps://doi.org/10.25611/X1X4-XK77
dc.identifier.urihttps://hdl.handle.net/1911/115221
dc.language.isoeng
dc.publisherRice University
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.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectPhysics
dc.subjectSynthetic Dimensions
dc.subjectRydberg Atoms
dc.subjectMean Field Theory
dc.subjectAMO
dc.subjectCondensed Matter
dc.subjectUltracold
dc.titlePhases in Ultracold Interacting Rydberg Atom Systems With The Su-Schrieffer-Heeger Model Engineered On A Synthetic Dimension
dc.type.dcmiText
dc.type.genreThesis
thesis.degree.departmentPhysics & Astronomy
thesis.degree.disciplineNatural Sciences
thesis.degree.grantorRice University
thesis.degree.levelUndergraduate
thesis.degree.nameSenior Thesis
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