Entanglement plays a central role for strongly correlated quantum many-body systems and is considered to be the root for a number of surprising emergent phenomena in solids such as high-temperature superconductivity or fractional Quantum Hall states. Entanglement detection in these systems is an important target of current research, but has so far remained elusive owing to the fine control required and high demands on statistical sampling.
The goal of this project is to realize strongly correlated quantum systems close to the ground state using quantum annealing of ultracold fermionic atoms, and to study the character, strength and role of entanglement. We will construct a novel type of cold atom experiment, which makes use of optical tweezers and Raman sideband cooling. This will allow a 100-fold improvement in the experimental repetition rate compared to conventional experiments and allow reaching the ground state in systems of up to 7x7 sites. The flexibility of the moving optical tweezers will facilitate implementing entanglement measures, including concurrence, quantum-state tomography and entanglement entropy. Our primary research objective is studying entanglement in the doped Hubbard model, where a variety of strongly correlated systems are expected, as well as the role of entanglement in thermalizing out-of-equilibrium samples. In a later stage we will focus on frustrated systems in triangular lattices and honeycomb geometries, and also interacting topological states.
Our experiments will have a far-reaching impact on condensed matter research, as it will be the first platform for experimental exploration of the role of entanglement in strongly correlated fermionic many-body systems. Our insights will be beyond the capabilities of numerical simulations and we envision that the project will lead to a better understanding of complex quantum phenomena, and may ultimately drive the discovery of novel quantum materials.
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