We have achieved several scientific breakthroughs in the context of quantum dot Fermi-Hubbard simulator. We studied quantum magnetism with our simulator by successfully forming a Heisenberg spin chain by setting homogeneous exchange couplings in a linear four-dot array and probing the antiferromagnetic ground state by performing singlet-triplet correlation measurements. The simultaneous control of multiple exchange couplings, and the preparation and characterization of many-body spin states shown in this work set the ground for simulating exotic phases such as resonating valence bonds and quantum spin liquid. We are now probing such physics in a 4x2 quantum dot ladder device.
Furthermore, we measured the long-range Coulomb interaction in a six-dot array and investigated its application in simulating artificial atoms and molecules. Finally, in another 4x2 quantum dot ladder device, we exploit the long-range Coulomb interaction to form excitons (bound electron-hole pairs). Under the right conditions, an electron propagating through one leg of the ladder controlled by gate voltage pulses, drags along a hole traveling through the other leg.
Quantum dot ladders are a key component of the QuDoFH project. The scientific results we have shown in the grant period established the capabilities of quantum-dot arrays as a promising Fermi-Hubbard simulator.