Title:Â Â Programmable real and synthetic dimensions: from correlated fermions to paraparticles Abstract:Â Â I will describe our theory research towards harnessing ultracold matter by programming the systems' behavior in both real space and "synthetic" space.Â
In real space, I discuss how hybrid digital-analog variational approaches can use the prominent platform of ultracold fermionic atoms in optical lattices or tweezer arrays to study physics that is far beyond the native Hubbard models realized in these platforms, for example including long-range Coulomb interactions or gauge fields. I will show that simple protocols can provide exponentially faster convergence than standard classical simulations. In fact, this is in principle a universal quantum architecture, whose native realization of fermionic operations circumvents the difficulty of fermion-to-qubit-mappings.
With synthetic space programmability, I will describe our results on using microwaves to couple internal states of Rydberg atoms or molecules to form an effective synthetic dimension, and how this can be used to realize intriguing interacting states in topological band structure. I will also discuss how paraparticles -- particles that are neither fermions nor bosons (nor anyons) that were previously thought to be impossible -- arise as emergent excitations in such dipole-coupled matter.
*You will need to bring your cell phone, so you can sign in using the QR code outside of ATL 2400. You will need to submit your first and last name, email and affiliation on the form by 11:15am to be able to get lunch after the seminar. Lunch is first come, first served.*