Thompson leads the Ion Trapping Group at Imperial using RF (Paul) traps with laser-cooled Ca-40 ions and Penning traps. Research foci: (1) High-fidelity quantum logic gates — optimal control techniques for single-ion state manipulation and two-qubit gates; demonstrated >1 s coherence times via Ramsey interferometry in a Penning trap; (2) Precision spectroscopy — ytterbium ion optical clock uncertainty characterisation at 2.2×10^−18 fractional uncertainty (NPL collaboration); proposed precision laser spectrometer for highly charged ions (HCI) in cylindrical Penning traps for QED tests; (3) Axion sensing — collaborating with Devlin on the Penning-trap single-electron photon counter for axion searches; (4) Coulomb crystals — ultrahigh resolution spectroscopy of ion crystals. Past work includes SPECTRAP project at GSI Darmstadt for HCI spectroscopy.

Tarik Yefsah's group at LKB studies strongly interacting ultracold Fermi gases. Research: (1) Fermi gas mixtures — quantum simulation of condensed matter phenomena (BCS-BEC crossover, Fermi polaron); (2) quantum gas microscope experiments imaging individual atoms in optical lattices; (3) novel quantum phases in Fermi-Hubbard systems ('fermionic waltz' publication 2026). Relevant to quantum simulation and quantum gas-based sensing.