Bulletin of the American Physical Society
APS March Meeting 2023
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session D74: Quantum Computing with Donor Spins I
3:00 PM–6:00 PM,
Monday, March 6, 2023
Room: Room 403/404
Sponsoring
Unit:
DQI
Chair: Patrick Harvey-Collard, IBM Research - Zurich
Abstract: D74.00010 : Quantum Simulation of Dynamical Lattices using Electrons in Silicon Dopant Arrays*
5:12 PM–5:24 PM
Presenter:
Ali Rad
(University of Maryland, College Park)
Authors:
Ali Rad
(University of Maryland, College Park)
Michael J Gullans
(Joint Center for Quantum Information and Computer Science)
Alexander Schuckert
(Joint Quantum Institute, University of Maryland)
Eleanor Crane
(Joint Quantum Institute, University of Maryland)
Mohammad Hafezi
(University of Maryland, College Park)
Gautam Nambiar
(University of Maryland)
Zohreh Davoudi
(University of Maryland, College Park)
Richard M Silver
(national institute of standards and technology, NIST)
Analogue quantum simulation does not suffer from a sign problem and may provide an advantage for calculating the dynamics of lattice gauge theories (LGTs). However, quantum simulation of LGTs has largely been constrained to qubit systems which have a large overhead when mapping the fermions to spin-1/2 in higher dimensions. We propose to use dopant arrays in silicon to encode fermions in Si conduction band electrons. We additionally exploit the local nuclear spin of the dopants to simulate a quantum dynamical lattice. Specifically, we use the extended Fermi-Hubbard model to natively realize the rotor Jackiw-Rabbi model. In 1D, the latter allows the study of dynamical mass generation and confinement-deconfinement quantum phase transitions, while its phase diagram in 2D is less explored. We recover past results on 1D systems, even when accounting for the long-range Coulomb interactions present in dopant arrays. In addition, we map out the 2D phase diagram using Hartree-Fock simulations with realistic parameters. We discuss experimental signatures based on transport in dopant arrays. Our studies help pave the way toward practical quantum simulation of LGTs with donors in silicon.
*We acknowledge support from the NSF QLCI grant OMA-212075.
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