{"693675":{"#nid":"693675","#data":{"type":"event","title":"PhD Defense by Jiahao Chen","body":[{"value":"\u003Cp\u003EIn partial fulfillment of the requirements for the degree of\u0026nbsp;\u003C\/p\u003E\u003Cp\u003EDoctor of Philosophy in\u0026nbsp;Physics\u0026nbsp;\u003C\/p\u003E\u003Cp\u003E\u0026nbsp;\u003C\/p\u003E\u003Cp\u003E\u003Cstrong\u003ESchool of Physics Dissertation Defense\u003C\/strong\u003E\u003C\/p\u003E\u003Cp\u003E\u0026nbsp;\u003C\/p\u003E\u003Cp\u003E\u003Cstrong\u003EJiahao Chen\u003C\/strong\u003E\u003Cbr\u003EDr. Dragomir Davidovic, School of Physics, Georgia Institute of Technology (Advisor)\u003C\/p\u003E\u003Cp\u003E\u0026nbsp;\u003C\/p\u003E\u003Cp\u003E\u003Cstrong\u003ENumerical Approach to the Time-Convolutionless (TCL) Master Equation\u003C\/strong\u003E\u003C\/p\u003E\u003Cp\u003EDate: Tuesday, November 10, 2026\u003Cbr\u003ETime: 8:30 a.m. EST\u003Cbr\u003ELocation: Howey N201\/202\u003Cbr\u003EVirtual: \u003Ca href=\u0022https:\/\/teams.microsoft.com\/meet\/2735247876635124?p=v8a6H59oESMuAALpNm\u0022\u003EJoin the Microsoft Teams meeting\u003C\/a\u003E \/ Meeting ID: 273 524 787 663 512 4 \/ Passcode: ub6Fd2TB\u003C\/p\u003E\u003Cp\u003E\u0026nbsp;\u003C\/p\u003E\u003Cp\u003E\u003Cstrong\u003EThesis Committee:\u003C\/strong\u003E\u003C\/p\u003E\u003Cp\u003EDr. Brian Kennedy, School of Physics, Georgia Institute of Technology\u003C\/p\u003E\u003Cp\u003EDr. Martin Mourigal, School of Physics, Georgia Institute of Technology\u003C\/p\u003E\u003Cp\u003EDr. Xueda Wen, School of Physics, Georgia Institute of Technology\u003C\/p\u003E\u003Cp\u003EDr. Qi Tang, School of Computational Science and Engineering, Georgia Institute of Technology\u003C\/p\u003E\u003Cp\u003E\u0026nbsp;\u003C\/p\u003E\u003Cp\u003E\u003Cstrong\u003EAbstract:\u003C\/strong\u003E\u003C\/p\u003E\u003Cp\u003EOpen quantum systems are quantum systems that interact with their environment. The time-convolutionless (TCL) master equation provides a formally exact, time-local description of their dynamics. However, the computational cost of evaluating higher-order terms often limits practical applications to the second-order approximation. We develop systematic numerical methods that reduce the temporal complexity to O(N log N) for TCL4 and O(N log\u00b2 N) for TCL6, where N is the number of time points. We extend the construction to higher orders and assess its accuracy using spin\u2013boson benchmarks. We also investigate the convergence limits of the TCL expansion and explore resummation methods for extending accurate predictions beyond direct perturbative truncation.\u003C\/p\u003E\u003Cp\u003E\u0026nbsp;\u003C\/p\u003E\u003Cp\u003E\u0026nbsp;\u003C\/p\u003E","summary":"","format":"limited_html"}],"field_subtitle":"","field_summary":[{"value":"\u003Cp\u003E\u003Cstrong\u003ENumerical Approach to the Time-Convolutionless (TCL) Master Equation\u003C\/strong\u003E\u003C\/p\u003E","format":"limited_html"}],"field_summary_sentence":[{"value":"Numerical Approach to the Time-Convolutionless (TCL) Master Equation"}],"uid":"27707","created_gmt":"2026-10-30 18:36:34","changed_gmt":"2026-10-30 18:37:10","author":"Tatianna Richardson","boilerplate_text":"","field_publication":"","field_article_url":"","field_event_time":{"event_time_start":"2026-11-10T08:30:00-05:00","event_time_end":"2026-11-10T11:00:00-05:00","event_time_end_last":"2026-11-10T11:00:00-05:00","gmt_time_start":"2026-11-10 13:30:00","gmt_time_end":"2026-11-10 16:00:00","gmt_time_end_last":"2026-11-10 16:00:00","rrule":null,"timezone":"America\/New_York"},"location":"Howey N201\/202","extras":[],"groups":[{"id":"221981","name":"Graduate Studies"}],"categories":[],"keywords":[{"id":"100811","name":"Phd Defense"}],"core_research_areas":[],"news_room_topics":[],"event_categories":[{"id":"1788","name":"Other\/Miscellaneous"}],"invited_audience":[{"id":"78771","name":"Public"}],"affiliations":[],"classification":[],"areas_of_expertise":[],"news_and_recent_appearances":[],"phone":[],"contact":[],"email":[],"slides":[],"orientation":[],"userdata":""}}}