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This talk will summarize our work broadly in the area of ultra-subwavelength electrodynamic response of materials and its implications for quantum information. I will start with discussing our Maxwell Hamiltonian theoretical framework on understanding deep ultra-subwavelength modes/waves inside matter [1-4]. One interesting prediction is that graphene with repulsive Hall viscosity coupled to electromagnetic waves shows a many-body invariant in the hydrodynamic regime [5,6]. This framework also leads to insight on noise and quantum fluctuations in degrees of freedom such as spin and orbital angular momentum of light [7,8].

Studying ultra-subwavelength properties of matter can be of significant interest even for quantum sensing and quantum computing. Specifically for the case of spin qubits in the vicinity of metallic circuitry, we show that the hydrodynamic non-local response of matter limits quantum gate fidelity [9]. Finally, we discuss some recent experimental progress on using nitrogen vacancy centers in diamond as quantum magnetometers for sensing ultra-subwavelength spinning properties of light [10].

More details about Zubin's research group can be found at www.electrodynamics.org

[1] Quantum gyroelectric effect: Photon spin-1 quantization in continuum topological bosonic phases T Van Mechelen, Z Jacob Physical Review A 98 (2), 023842 (2018)
[2] Photonic Dirac monopoles and skyrmions: spin-1 quantization T Van Mechelen, Z Jacob Optical Materials Express 9 (1), 95-111 (2019)
[3] Nonlocal topological electromagnetic phases of matter T Van Mechelen, Z Jacob Physical Review B 99 (20), 205146 (2019)
[4] Picophotonics: Anomalous Atomistic Waves in Silicon Sathwik Bharadwaj, Todd Van Mechelen, and Zubin Jacob Phys. Rev. Applied 18, 044065 (2022)
[5] Optical N-invariant of graphene’s topological viscous Hall fluid T Van Mechelen, W Sun, Z Jacob Nature Communications 12 (1), 4729 (2021)
[6] Optical -insulators: Topological obstructions to optical Wannier functions in the atomistic susceptibility tensor T Van Mechelen, S Bharadwaj, Z Jacob, RJ Slager Physical Review Research 4 (2), 023011 (2022)
[7] Quantum field theory for spin operator of the photon LP Yang, F Khosravi, Z Jacob Physical Review Research 4 (2), 023165 (2022)
[8] Non-classical photonic spin texture of quantum structured light LP Yang, Z Jacob Communications Physics 4 (1), 221 (2021)
[9] Limits to gate fidelity from near-field thermal and vacuum fluctuations W Sun, S Bharadwaj, LP Yang, YL Hsueh, Y Wang, D Jiao, R Rahman, Z. Jacob arXiv preprint arXiv:2207.09441 (2022)
[10] Quantum sensing of photonic spin density using a single spin qubit F Kalhor, LP Yang, L Bauer, Z Jacob Physical Review Research 3 (4), 043007 (2021)