Edward O'Brien

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Edward O'Brien

Graduate Student

I am a fourth year DPhil student in the Theoretical Physics subdepartment in the condensed matter theory group under the supervision of Professor Paul Fendley.

I have taught at Magdalen College since 2017.

Trinity 2017: Special Relativity short option for maths.

Hilary 2018-present: Quantum Mechanics and Further Quantum Mechanics for physics (A3).

Michaelmas 2018: 2nd Year Mathematical Methods for physics.

My research currently focuses on 1D quantum lattice models, and in particular those related to the Ising and Potts models. I am especially interested in the continuum limits of these models and how they are related to conformal field theory and supersymmetry.

Papers:
Topological spin models in Rydberg lattices
M Kiffner, E O’Brien, D Jaksch
Exploring the World with the Laser, 351-369
https://link.springer.com/chapter/10.1007/978-3-319-64346-5_20

Lattice supersymmetry and order-disorder coexistence in the tricritical Ising model
E O’Brien, P Fendley
Physical review letters 120 (20), 206403
https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.120.206403

Onsager symmetries in U(1)-invariant clock models
E Vernier, E O'Brien, P Fendley
Journal of Statistical Mechanics: Theory and Experiment 2019 (4), 043107
https://iopscience.iop.org/article/10.1088/1742-5468/ab11c0

The "not-A", SPT and Potts phases in an S3-invariant chain
E O'Brien, E Vernier, P Fendley
arXiv:1908.02767
https://arxiv.org/abs/1908.02767