# Jacob Bridgeman

Perimeter Institute for Theoretical Physics

Areas of research:

### 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.

### Positions Held

- Research Associate, University of Technology Sydney
- 2014-2017 Doctor of Philosophy in Physics, University of Sydney
- 2013-2014 Perimeter Scholars International, Master of Science in Physics, University of Waterloo and the Perimeter Institute for Theoretical Physics

### Recent Publications

- J. C. Bridgeman B. J. Brown, and S. J. Elman, "Boundary topological entanglement entropy in two and three dimensions," Communications in Mathematical Physics, 10.1007/s00220-021-04191-y, arXiv: 2012.05244
- J. C. Bridgeman and D. Barter, "Computing data for Levin-Wen with defects," Quantum 4, 277, arXiv: 1907.06692
- J. C. Bridgeman and D. Barter, "Computing Defects Associated to Bounded Domain Wall Structures: The Vec(Z/pZ) case," Journal of Physics A: Mathematical and Theoretical 53, 235206, arXiv: 1901.08069
- J. C. Bridgeman, A. Hahn, T. J. Osborne, and R. Wolf, "Gauging defects in quantum spin systems: A case study," Physical Review B 101, 134111, arXiv: 1910.10619
- J. C. Bridgeman, D. Barter, and C. Jones, "Fusing Binary Interface Defects in Topological Phases: The Vec(Z/pZ) case," Journal of Mathematical Physics 60, 121701, arXiv: 1810.09469
- 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 369, 1167-1185, 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

### Seminars

- "Computing with tube categories", Quantum Symmetries Lectures, North Carolina State University
- "Defects in topological phases", Ghent University
- "String net phases and tube categories", Stanford University
- "Tube algebra techniques for TQFTs", Institüt für Theoretische Physik, Leibniz Universität Hannover
- "Enriched Topological Codes: 101 applications of the tube algebra", Presented at The Ohio State University Summer research program on quantum symmetries
- "An introduction to many body models", 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
- Defects in topological phases, Condensed matter group meeting
- String net phases and tube categories, Quantum information group meeting
- PIRSA:17100064, Anomalies and entanglement renormalization, 2017-10-24, Tensor Network