Jacob Bridgeman

Research Interests

My research interests include interacting many body quantum systems, particularly topological and symmetry protected topological phases and phase transitions. I am also interested in the application of numerical methods based on tensor networks to such systems.

Recently I have been developing computational techniques for studying properties of defects in topological phases.

Recent Publications

• D. Barter, J. C. Bridgeman, and C. Jones, "Domain walls in topological phases and the Brauer-Picard ring for Vec(Z/pZ)," Communications in Mathematical Physics, arXiv: 1806.01279
• J. C. Bridgeman, S. D. Bartlett, and A. C. Doherty, "Tensor Networks with a Twist: Anyon-permuting domain walls and defects in PEPS," Physical Review B 96, 245122, arXiv: 1708.08930
• J. C. Bridgeman and D. J. Williamson, "Anomalies and entanglement renormalization," Physical Review B 96, 125104, arXiv: 1703.07782
• J. C. Bridgeman and C. T. Chubb, "Hand-waving and Interpretive Dance: An Introductory Course on Tensor Networks," Journal of Physics A: Mathematical and Theoretical 50, 223001, arXiv: 1603.03039
• J. C. Bridgeman, S. T. Flammia, and D. Poulin, "Detecting Topological Order with Ribbon Operators," Physical Review B 94, 205123, arXiv: 1603.02275
• J. C. Bridgeman, A. O"Brien, S. D. Bartlett, and A. C. Doherty, "Multiscale entanglement renormalization ansatz for spin chains with continuously varying criticality," Physical Review B 91, 165129, arXiv: 1501.02817
• J. C. Bridgeman and D. Barter, "Computing data for Levin-Wen with defects," arXiv: 1907.06692
• J. C. Bridgeman and D. Barter, "Computing Defects Associated to Bounded Domain Wall Structures: The Vec(Z/pZ) case," arXiv: 1901.08069
• J. C. Bridgeman, D. Barter, and C. Jones, "Fusing Binary Interface Defects in Topological Phases: The Vec(Z/pZ) case," arXiv: 1810.09469

Seminars

• "Tube algebra techniques for TQFTs", Institüt für Theoretische Physik, Leibniz Universität Hannover
• "An introduction to many body models," Presented at The Ohio State University Summer research program on quantum symmetries
• "Enriched Topological Codes: 101 applications of the tube algebra," Presented at The Ohio State University Summer research program on quantum symmetries
• "Anomalies and Entanglement Renormalization," Quantum Algebra and Quantum Topology Seminar, The Ohio State University