Kavli Affiliate: Menno Veldhorst
| First 5 Authors: Pablo Cova Fariña, Daniel Jirovec, Xin Zhang, Elizaveta Morozova, Stefan D. Oosterhout
| Summary:
Quasi-particle dynamics in interacting systems in the presence of disorder
challenges the notion of internal thermalization, but proves difficult to
investigate theoretically for large particle numbers. Engineered quantum
systems may offer a viable alternative, as witnessed in experimental
demonstrations in a variety of physical platforms, each with its own
capabilities and limitations. Semiconductor gate-defined quantum dot arrays are
of particular interest since they offer both a direct mapping of their
Hamiltonian to Fermi-Hubbard and Heisenberg models and the in-situ tunability
of (magnetic) interactions and onsite potentials. In this work, we use an array
of germanium quantum dots to simulate the dynamics of both single-spin
excitations (magnons) and two-spin excitations (triplons). We develop a
methodology that combines digital spin qubit operations for state preparation
and readout with analog evolution under the full system Hamiltonian. Using
these techniques, we can reconstruct quantum walk plots for both magnons and
triplons, and for various configurations of Heisenberg exchange couplings. We
furthermore explore the effect of single-site disorder and its impact on the
propagation of spin excitations. The obtained results can provide a basis for
simulating disorder-based solid-state phenomena such as many-body localization.
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