Simulating Fermi-Hubbard Physics with Quantum Dot Arrays

ORAL · Invited

Abstract

Electrostatically-defined quantum dots have emerged as an attractive platform for analog quantum simulation, in particular for studying the extended Fermi-Hubbard model. The energy scales allow to explore the most interesting parts of the phase diagram: individually tunable hopping energies are well below the on-site interaction energies while at the same time far exceed the thermal energy. Site-specific potential offsets are individually tunable and there is a natural long-range interaction energy, further extending the range of physical phenomena that can be explored. In this talk, I will introduce the system and review our latest results (including unpublished work) on quantum magnetism and exciton physics. In addition I will briefly highlight our work on digital quantum simulation.

* Funded by an ERC Advanced Grant.

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Publication: - Exciton transport in a germanium quantum dot ladder, T.-K. Hsiao, P. Cova Fariña, S.D. Oosterhout, D. Jirovec, X. Zhang, C.J. van Diepen, W.I.L. Lawrie, C.-A. Wang, A. Sammak, G. Scappucci, M. Veldhorst, E. Demler, L.M.K. Vandersypen, arXiv:2307.02401 (2023)
- Long-range electron-electron interactions in quantum dot systems and applications in quantum chemistry. J. Knörzer, C. J. van Diepen, T.-K. Hsiao, G.Giedke, U. Mukhopadhyay, C. Reichl, W. Wegscheider, J. I. Cirac and L. M. K. Vandersypen, Phys. Rev. Research 4, 033043, (2022)
- Quantum simulation of antiferromagnetic Heisenberg chain with gate-defined quantum dots, C. J. van Diepen, T.-K. Hsiao, U. Mukhopadhyay, C. Reichl, W. Wegscheider and L. M. K. Vandersypen, Phys. Rev. X 11, 041025, (2021)
- Nagaoka ferromagnetism observed in a quantum dot plaquette, J.P. Dehollain, U. Mukhopadhyay, V.P. Michal, Y. Wang, B. Wunsch, C. Reichl, W. Wegscheider, M.S. Rudner, E. Demler, and L.M.K. Vandersypen, Nature 579, 528–533, (2020)

Presenters

  • Lieven M Vandersypen

    Delft University of Technology

Authors

  • Lieven M Vandersypen

    Delft University of Technology