Entangled Rydberg matter for quantum sensing and simulations

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Owed to their remarkable properties trapped Rydberg atoms and ions are ideal systems for realizing quantum simulators and sensors. The strong and long-ranged dipolar interactions between Rydberg matter is the basis for entangling gates. The long lifetime of circular Rydberg states leads to long coherence times, enabling gates with high fidelity and quantum simulation over long times. Large transition dipole moments make Rydberg atoms and ions highly sensitive to electric fields, microwave and terahertz radiation.In this project, we will exploit these unique physical features to build two devices: A Rydberg quantum simulator and a Rydberg-enabled quantum sensor. In particular, we will realize quantum gates based on dipolar Rydberg interaction, and bring their performance to a new level using coherent control methods. We will employ dipolar interactions for realizing quantum simulators and apply them to simulate coupled spin and spin-boson systems through digital and analogue approaches. This will enable the investigation of quantum-controlled structural phase transitions as well as the simulation of the motional mode structure of molecules. We will develop highly sensitive probes for electric fields and microwave radiation based on Rydberg-excited ions that can be positioned with nanometer precision and cooled down to micro-Kelvin temperature. This will enable local measurements of electric and microwave fields with high sensitivities that will be further improved through the use of entangled quantum states and dynamical decoupling schemes. Our research will deliver the enabling steps for a future Rydberg-enhanced quantum technology base thereby securing the competitiveness of the European Research Area.