@article{Electrodynamics:10113,
      recid = {10113},
      author = {Panetta, Margaret Gorham},
      title = {Cavity Quantum Electrodynamics in a Topological Photonic  Metamaterial},
      publisher = {University of Chicago},
      school = {Ph.D.},
      address = {2023-12},
      pages = {236},
      abstract = {Cavity quantum electrodynamics, which explores strong  light-matter interaction at the single-photon level, has  provided a foundation for work to study, manipulate, and  build systems managing quantum states. A parallel site of  richness has been the study of topology in condensed matter  physics; beyond its intrinsic value, the robustness to  disorder afforded by topological structure, sometimes  generated via a time-reversal-symmetry-breaking gauge field  as in the case of the quantum Hall effect, has become of  interest as a route to protection of quantum excitations.  

In this thesis, we mix these two regimes, exploring  cavity quantum electrodynamics in a topological  metamaterial which breaks time-reversal symmetry for  microwave photons by realizing a synthetic gauge field  ‘felt’ by these photons. We strongly couple the edge of  this quarter-flux Harper-Hofstadter lattice, a 2D array of  coupled superconducting cavity resonators, to a single  transmon qubit, demonstrating Rabi oscillations between the  excited transmon and each individual mode of the  topological band structure and profiling the multimode Lamb  shift on the qubit from the forest of the synthetic vacuum.  

Then, inspired by recent efforts to achieve chiral  emission and transport of photons for use in quantum  information science, we introduce a second transmon qubit  to another site along the lattice edge and use this to  detect a single photon confined to propagate in the chiral  edge of this topological photonic bulk. This demonstration  of nonreciprocal transport between quantum emitters coupled  to an engineered chiral channel offers opportunities to  build and probe entangled states of light which gain  structure from the system topology, and is a step along the  path to exploring topological quantum matter. },
      url = {http://knowledge.uchicago.edu/record/10113},
      doi = {https://doi.org/10.6082/uchicago.10113},
}