{"id":{"repo_id":"cornell","oai_identifier":"oai:ecommons.cornell.edu:1813/56846"},"canonical_url":"https://search.dev.ndltd.org/etd/cornell/oai:ecommons.cornell.edu:1813/56846","repository":{"repo_id":"cornell","name":"Cornell University","base_url":"https://ecommons.cornell.edu/server/oai/request"},"display":{"title":"Many-body physics and non-equilibrium dynamics in ultracold atomic systems","abstract":"This thesis presents a series of theoretical studies of ultra cold atomic systems which model and propose experiments, and develop new computational techniques in order to elucidate aspects of many-body physics and non-equilibrium dynamics. In the first two studies I model the dynamics of nonlinear solitonic excitations in ultracold fermionic superfluids: the first simulates recent experiments and supports the hypothesis that the solitons generated in those experiments are unstable to the formation of vortex rings; the second demonstrates how population imbalance between up and down spin fermions can be used to prevent this instability. In the next study I discuss a method for generating and probing topologically protected edge states using periodically driven optical lattices potentials. Next I use a perturbative approach to study the spectral density of fermions with strong attractive interactions in the normal phase. After that I develop a novel cluster expansion technique to model the dynamics of interacting fermions in a disordered optical lattice. Finally I apply a Ginzurg-Landau theory to model experimental studies of superfluid 3He embedded in nematically ordered aerogel, finding evidence for a new phase of matter --the ``polar phase\"-- which is not seen in bulk 3He.","abstract_html":"This thesis presents a series of theoretical studies of ultra cold atomic systems which model and propose experiments, and develop new computational techniques in order to elucidate aspects of many-body physics and non-equilibrium dynamics. In the first two studies I model the dynamics of nonlinear solitonic excitations in ultracold fermionic superfluids: the first simulates recent experiments and supports the hypothesis that the solitons generated in those experiments are unstable to the formation of vortex rings; the second demonstrates how population imbalance between up and down spin fermions can be used to prevent this instability. In the next study I discuss a method for generating and probing topologically protected edge states using periodically driven optical lattices potentials. Next I use a perturbative approach to study the spectral density of fermions with strong attractive interactions in the normal phase. After that I develop a novel cluster expansion technique to model the dynamics of interacting fermions in a disordered optical lattice. Finally I apply a Ginzurg-Landau theory to model experimental studies of superfluid 3He embedded in nematically ordered aerogel, finding evidence for a new phase of matter --the ``polar phase"-- which is not seen in bulk 3He.","abstract_has_math":false,"creators":["Reichl, Matthew Douglas"],"institution":"Cornell University","degree_name":"Ph. D., Physics","degree_level":"Doctor of Philosophy","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":["Ginsparg, Paul Henry","Parpia, Jeevak M."],"year":2017,"date_issued":"2017-08-30","date_published":"2017-08-30","updated_at":"2026-07-24T01:49:06Z","subjects":["Physics","Atomic physics","Condensed matter physics"],"languages":["en_US"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier.doi","label":"DOI","values":["https://doi.org/10.7298/X4CF9N7K"],"render_values":[{"text":"https://doi.org/10.7298/X4CF9N7K","href":"https://doi.org/10.7298/X4CF9N7K","code":true}]},{"key":"dc:identifier.other","label":"Dc Identifier Other","values":["ProQuest Submission ID: 10322","ProQuest Publication ID: 10288298"],"render_values":[{"text":"ProQuest Submission ID: 10322","href":null,"code":true},{"text":"ProQuest Publication ID: 10288298","href":null,"code":true}]}]},"links":{"outbound_url":"https://hdl.handle.net/1813/56846","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.committeemember","label":"Committee Member","values":["Ginsparg, Paul Henry","Parpia, Jeevak M."]},{"key":"dc:creator","label":"Author","values":["Reichl, Matthew Douglas"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2018-04-26T14:16:46Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2018-04-26T14:16:46Z"]},{"key":"dc:date.issued","label":"Date","values":["2017-08-30"]},{"key":"dc:type","label":"Dc Type","values":["dissertation or thesis"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Physics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Doctor of Philosophy"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph. 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In the first two studies I model the dynamics of nonlinear solitonic excitations in ultracold fermionic superfluids: the first simulates recent experiments and supports the hypothesis that the solitons generated in those experiments are unstable to the formation of vortex rings; the second demonstrates how population imbalance between up and down spin fermions can be used to prevent this instability. In the next study I discuss a method for generating and probing topologically protected edge states using periodically driven optical lattices potentials. Next I use a perturbative approach to study the spectral density of fermions with strong attractive interactions in the normal phase. After that I develop a novel cluster expansion technique to model the dynamics of interacting fermions in a disordered optical lattice. Finally I apply a Ginzurg-Landau theory to model experimental studies of superfluid 3He embedded in nematically ordered aerogel, finding evidence for a new phase of matter --the ``polar phase\"-- which is not seen in bulk 3He."]},{"key":"dc:format.mimetype","label":"Dc Format Mimetype","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Many-body physics and non-equilibrium dynamics in ultracold atomic systems"]}]}],"canonical_facts":{"dc:contributor.committeemember":["Ginsparg, Paul Henry","Parpia, Jeevak M."],"dc:creator":["Reichl, Matthew Douglas"],"dc:date.accessioned":["2018-04-26T14:16:46Z"],"dc:date.available":["2018-04-26T14:16:46Z"],"dc:date.issued":["2017-08-30"],"dc:description.abstract":["This thesis presents a series of theoretical studies of ultra cold atomic systems which model and propose experiments, and develop new computational techniques in order to elucidate aspects of many-body physics and non-equilibrium dynamics. In the first two studies I model the dynamics of nonlinear solitonic excitations in ultracold fermionic superfluids: the first simulates recent experiments and supports the hypothesis that the solitons generated in those experiments are unstable to the formation of vortex rings; the second demonstrates how population imbalance between up and down spin fermions can be used to prevent this instability. In the next study I discuss a method for generating and probing topologically protected edge states using periodically driven optical lattices potentials. Next I use a perturbative approach to study the spectral density of fermions with strong attractive interactions in the normal phase. After that I develop a novel cluster expansion technique to model the dynamics of interacting fermions in a disordered optical lattice. Finally I apply a Ginzurg-Landau theory to model experimental studies of superfluid 3He embedded in nematically ordered aerogel, finding evidence for a new phase of matter --the ``polar phase\"-- which is not seen in bulk 3He."],"dc:format.mimetype":["application/pdf"],"dc:identifier.doi":["https://doi.org/10.7298/X4CF9N7K"],"dc:identifier.other":["ProQuest Submission ID: 10322","ProQuest Publication ID: 10288298"],"dc:identifier.uri":["https://hdl.handle.net/1813/56846"],"dc:language.iso":["en_US"],"dc:subject":["Physics","Atomic physics","Condensed matter physics"],"dc:title":["Many-body physics and non-equilibrium dynamics in ultracold atomic systems"],"dc:type":["dissertation or thesis"],"thesis:degree_discipline":["Physics"],"thesis:degree_level":["Doctor of Philosophy"],"thesis:degree_name":["Ph. D., Physics"],"thesis:institution_name":["Cornell University"]},"updated_at":"2026-07-24T01:49:06Z"}