Dynamics and phases of matter in open quantum many-body systems
dc.contributor.author | Sang, Shengqi | |
dc.date.accessioned | 2024-06-24T19:31:56Z | |
dc.date.available | 2024-06-24T19:31:56Z | |
dc.date.issued | 2024-06-24 | |
dc.date.submitted | 2024-06-18 | |
dc.description.abstract | The thesis is divided into two parts, both focusing on the topic of open quantum many-body systems. The first part explores the properties of quantum circuits interspersed with measurements. Tuned by the frequency of measurements, the circuit exhibits two stable dynamical phases: a weakly-monitored phase and a strongly-monitored one. For the former case, we analyze its non-equilibrium properties and unveil that it exhibits physical length scales that grow super-linearly with time. For the latter case, we demonstrate that it can maintain non-trivial quantum order when symmetries are present. The second part addresses phases of matter for mixed many-body states. We propose a real-space renormalization group approach for mixed states and apply it to derive phase diagrams for various examples. For decohered topological codes, we establish a precise relationship between the decodability and the topological phase transitions. Lastly, we introduce the notion of 'Markov length', a length scale that measures the locality of correlation, as a diagnostic for the stability of mixed state phases. | en |
dc.identifier.uri | http://hdl.handle.net/10012/20680 | |
dc.language.iso | en | en |
dc.pending | false | |
dc.publisher | University of Waterloo | en |
dc.subject | physics | en |
dc.title | Dynamics and phases of matter in open quantum many-body systems | en |
dc.type | Doctoral Thesis | en |
uws-etd.degree | Doctor of Philosophy | en |
uws-etd.degree.department | Physics and Astronomy | en |
uws-etd.degree.discipline | Physics | en |
uws-etd.degree.grantor | University of Waterloo | en |
uws-etd.embargo.terms | 0 | en |
uws.contributor.advisor | Hsieh, Timothy | |
uws.contributor.advisor | Melko, Roger | |
uws.contributor.affiliation1 | Faculty of Science | en |
uws.peerReviewStatus | Unreviewed | en |
uws.published.city | Waterloo | en |
uws.published.country | Canada | en |
uws.published.province | Ontario | en |
uws.scholarLevel | Graduate | en |
uws.typeOfResource | Text | en |