{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/130003"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/130003","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Hamiltonian engineering with synthetic dimensions","abstract":"Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2027-08-01","abstract_html":"Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2027-08-01","abstract_has_math":false,"creators":["Agrawal, Shraddha"],"institution":"University of Illinois Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Gadway, Bryce R.","DeMarco, Brian L.","Cooper, Stephen L","Lorenz, Virginia"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2025,"date_issued":"2025-05-28","date_published":"2025-05-28","updated_at":"2026-07-22T22:25:06Z","subjects":["Hamiltonian Engineering","Momentum State Lattices"],"languages":["en","eng"],"rights":["Copyright 2025 Shraddha Agrawal"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://hdl.handle.net/2142/130003","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Gadway, Bryce R.","DeMarco, Brian L.","Cooper, Stephen L","Lorenz, Virginia"]},{"key":"dc:creator","label":"Author","values":["Agrawal, Shraddha"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2025-05-28","2025-08"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Physics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Hamiltonian Engineering","Momentum State Lattices"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en","eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2025 Shraddha Agrawal"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://hdl.handle.net/2142/130003"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2027-08-01","The student, Shraddha Agrawal, accepted the attached license on 2025-05-23 at 02:14.","The student, Shraddha Agrawal, submitted this Dissertation for approval on 2025-05-23 at 11:54.","This Dissertation was approved for publication on 2025-05-28 at 13:38.","DSpace SAF Submission Ingestion Package generated from Vireo submission #22307 on 2025-10-21 at 10:05:19","Hamiltonian engineering can provide insights into the control and manipulation of quantum systems, which may pave the way for progress in quantum sensing and quantum many-body physics. Here, I will focus on a specific type of Hamiltonian engineering technique based on the spectroscopic coupling of atomic states. I will describe how we use two-photon Bragg resonances to couple discrete momentum states of our BEC, forming a synthetic lattice of momentum states in one dimension. Taking advantage of the site-resolved control afforded by our synthetic lattice technique, I will show some experimental results regarding transport in a one-dimensional quasiperiodic mosaic lattice. I will then discuss two-dimensional momentum state lattices. Finally, I will offer prospective directions in leveraging atomic interactions to probe many-body topological physics and squeezed states in our experimental platform."]},{"key":"dc:format","label":"Dc Format","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Hamiltonian engineering with synthetic dimensions"]}]}],"canonical_facts":{"dc:contributor":["Gadway, Bryce R.","DeMarco, Brian L.","Cooper, Stephen L","Lorenz, Virginia"],"dc:creator":["Agrawal, Shraddha"],"dc:date":["2025-05-28","2025-08"],"dc:description":["Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2027-08-01","The student, Shraddha Agrawal, accepted the attached license on 2025-05-23 at 02:14.","The student, Shraddha Agrawal, submitted this Dissertation for approval on 2025-05-23 at 11:54.","This Dissertation was approved for publication on 2025-05-28 at 13:38.","DSpace SAF Submission Ingestion Package generated from Vireo submission #22307 on 2025-10-21 at 10:05:19","Hamiltonian engineering can provide insights into the control and manipulation of quantum systems, which may pave the way for progress in quantum sensing and quantum many-body physics. Here, I will focus on a specific type of Hamiltonian engineering technique based on the spectroscopic coupling of atomic states. I will describe how we use two-photon Bragg resonances to couple discrete momentum states of our BEC, forming a synthetic lattice of momentum states in one dimension. Taking advantage of the site-resolved control afforded by our synthetic lattice technique, I will show some experimental results regarding transport in a one-dimensional quasiperiodic mosaic lattice. I will then discuss two-dimensional momentum state lattices. Finally, I will offer prospective directions in leveraging atomic interactions to probe many-body topological physics and squeezed states in our experimental platform."],"dc:format":["application/pdf"],"dc:identifier":["https://hdl.handle.net/2142/130003"],"dc:language":["en","eng"],"dc:rights":["Copyright 2025 Shraddha Agrawal"],"dc:subject":["Hamiltonian Engineering","Momentum State Lattices"],"dc:title":["Hamiltonian engineering with synthetic dimensions"],"dc:type":["text"],"thesis:degree_discipline":["Physics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois Urbana-Champaign"]},"updated_at":"2026-07-22T22:25:06Z"}