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https://hdl.handle.net/2142/130003
Description
Title
Hamiltonian engineering with synthetic dimensions
Author(s)
Agrawal, Shraddha
Issue Date
2025-05-28
Director of Research (if dissertation) or Advisor (if thesis)
Gadway, Bryce R
DeMarco, Brian L
Doctoral Committee Chair(s)
Cooper, Stephen L
Lorenz, Virginia
Department of Study
Physics
Discipline
Physics
Degree Granting Institution
University of Illinois Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Hamiltonian engineering, Momentum state lattices
Abstract
Hamiltonian engineering can provide insights into the control and manipulation of quantum systems, which may pave the way for progress in quantum sensing and quantum many-body physics. Here, I will focus on a specific type of Hamiltonian engineering technique based on the spectroscopic coupling of atomic states. I will describe how we use two-photon Bragg resonances to couple discrete momentum states of our BEC, forming a synthetic lattice of momentum states in one dimension. Taking advantage of the site-resolved control afforded by our synthetic lattice technique, I will show some experimental results regarding transport in a one-dimensional quasiperiodic mosaic lattice. I will then discuss two-dimensional momentum state lattices. Finally, I will offer prospective directions in leveraging atomic interactions to probe many-body topological physics and squeezed states in our experimental platform.
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