Project description DEENESFRITPL Emulating exotic many-body phenomena using quantum dots The Hubbard model is an approximate model used to describe the transition between conducting and insulating systems. It is the simplest model of interacting particles in a lattice with just two terms in the Hamiltonian: a kinetic term that allows the hopping of fermions (or bosons) between adjacent sites of the lattice and a potential term consisting of an on-site interaction. Despite its simplicity, it is extremely challenging to solve numerically on conventional computers. The EU-funded QuDoFH project plans to emulate the Fermi–Hubbard Hamiltonian using quantum dot arrays. Researchers will focus on three phenomena that lie at the heart of quantum many-body physics: resonating valence bond physics at half-filling, doped Mott insulator physics and quantum phase transitions. Show the project objective Hide the project objective Objective We propose to use semiconductor quantum dot arrays as a well-controlled model system for emulating the Fermi-Hubbard Hamiltonian. In its simplest form, this Hamiltonian contains just two terms, describing hopping of fermions between adjacent sites in a lattice and an interaction energy for two fermions to occupy the same site. Despite its simplicity, this Hamiltonian produces a wealth of many-body physics phenomena, from exotic forms of magnetism to superconductivity. Their intricate quantum correlations make simulation on conventional computers exponentially difficult. This has motivated the use of model systems such as ultra-cold atoms to emulate Fermi-Hubbard physics. The in-situ parameter control, large energy scales compared to temperature and the flexibility of lithography, make gate-defined quantum dot arrays a highly versatile and powerful model system for emulating Fermi-Hubbard physics. This has long remained a distant prospect due to unavoidable disorder and cross-talk, but recent progress in our lab shows that these obstacles can be overcome in small arrays. This allowed us to observe Nagaoka ferromagnetism, a form of magnetism driven by electron-electron interactions that has not been reported in any system so far. In a series of breakthrough advances, we will define and operate extended square and triangular quantum dot ladders, targeting a complexity that cannot be matched by classical computers. We will focus on three phenomena at the heart of quantum many-body physics: 1) resonating-valence bond physics at half-filling, 2) doped Mott insulator physics and 3) quantum phase transitions. Besides measuring current through the system, we will perform single-shot measurements of charge and spin, giving access to multi-point correlation functions and time dependent evolution. These studies will increase our understanding of Fermi-Hubbard physics, with long-term application in materials design and discovery. Fields of science natural sciencesphysical sciencestheoretical physicsparticle physicsfermionsnatural sciencesphysical scienceselectromagnetism and electronicssemiconductivitynatural sciencesphysical scienceselectromagnetism and electronicssuperconductivity Programme(s) H2020-EU.1.1. - EXCELLENT SCIENCE - European Research Council (ERC) Main Programme Topic(s) ERC-2019-ADG - ERC Advanced Grant Call for proposal ERC-2019-ADG See other projects for this call Funding Scheme ERC-ADG - Advanced Grant Host institution TECHNISCHE UNIVERSITEIT DELFT Net EU contribution € 3 449 720,00 Address STEVINWEG 1 2628 CN Delft Netherlands See on map Region West-Nederland Zuid-Holland Delft en Westland Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Total cost € 3 449 720,00 Beneficiaries (1) Sort alphabetically Sort by Net EU contribution Expand all Collapse all TECHNISCHE UNIVERSITEIT DELFT Netherlands Net EU contribution € 3 449 720,00 Address STEVINWEG 1 2628 CN Delft See on map Region West-Nederland Zuid-Holland Delft en Westland Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Total cost € 3 449 720,00
