{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/16958"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/16958","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Iterative Monte Carlo for quantum dynamics","abstract":"We present an exact path integral methodology for computing quantum dynamical information. This method combines the concepts of iterative propagation with the features of Monte Carlo sampling. The stepwise evaluation of the path integral circumvents the growth of statistical error with time and the use of importance sampling leads to a favorable scaling of required grid points with the number of particles. Three different Monte Carlo sampling procedures are presented. Time correlation functions for several multi-dimensional model systems are computed and accurate long time dynamics are obtained. In the end, the capabilities and limitations of the method are discussed.","abstract_html":"We present an exact path integral methodology for computing quantum dynamical information. This method combines the concepts of iterative propagation with the features of Monte Carlo sampling. The stepwise evaluation of the path integral circumvents the growth of statistical error with time and the use of importance sampling leads to a favorable scaling of required grid points with the number of particles. Three different Monte Carlo sampling procedures are presented. Time correlation functions for several multi-dimensional model systems are computed and accurate long time dynamics are obtained. In the end, the capabilities and limitations of the method are discussed.","abstract_has_math":false,"creators":["Jadhao, Vikram"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Makri, Nancy","Martin Gruebele","Aksimentiev, Aleksei","Stack, John D."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2010,"date_issued":"2010-08-31T20:02:00Z","date_published":"2010-08-31T20:02:00Z","updated_at":"2026-07-22T22:25:09Z","subjects":["Monte Carlo methods","Quantum dynamics","Iterative methods","Path integrals"],"languages":["en"],"rights":["Copyright 2010 Vikram Jadhao"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/16958","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Makri, Nancy","Martin Gruebele","Aksimentiev, Aleksei","Stack, John D."]},{"key":"dc:creator","label":"Author","values":["Jadhao, Vikram"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2010-08-31T20:02:00Z","2012-09-07T16:43:31Z","2010-08"]},{"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 at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Monte Carlo methods","Quantum dynamics","Iterative methods","Path integrals"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2010 Vikram Jadhao"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/16958"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["We present an exact path integral methodology for computing quantum dynamical information. 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