Probing quasiparticle interactions and statistics through nonlinear response
Abstract: In this talk, I will summarise recent theoretical work on understanding nonlinear response functions in systems with interacting quasiparticles.
Tunneling properties in Fe-based superconductor, FeTe.55Se.45 (FTS)
Dissertation Committee Chair: Prof. Jay D Sau
Committee:
Leveraging Hamiltonian Simulation Techniques to Compile Operations on Bosonic Devices
Circuit QED enables the combined use of qubits and oscillator modes. Despite a variety of available gate sets, many hybrid qubit-boson (i.e., oscillator) operations are realizable only through optimal control theory (OCT) which is oftentimes intractable and uninterpretable. We introduce an analytic approach with rigorously proven error bounds for realizing specific classes of operations via two matrix product formulas commonly used in Hamiltonian simulation, the Lie–Trotter and Baker–Campbell–Hausdorff product formulas.
Classification and characterization of crystalline topological invariants in quantum many-body states
Dissertation Committee Chair: Professor Maissam Barkeshli (advisor)
Committee: