Fast-Driven Quantum Dot-Based Minimal Kitaev Chains

ongoing

Majorana bound states (MBSs) are exotic quantum states with nonlocal and nonabelian properties, making them a novel phenomenon in condensed matter physics and a promising basis for quantum information technology. A platform based on double quantum dots coupled to a superconductor was developed to address disorder-related challenges in realizing MBSs that plague other set-ups. Proposed by the supervisor, this approach produces poor man's Majorana bound states (PMMs) and is now one of the most promising paths toward realizing MBSs. However, under realistic conditions, PMMs are not fully identical to topological MBSs. The goal of this project is to theoretically investigate the use of Floquet engineering methods—specialized techniques for controlling quantum systems through fast periodic driving—to assess the Majorana character of PMMs in QD-based platforms. By combining the supervisor's expertise in PMMs with the fellow’s background in Floquet engineering, the action aims to achieve breakthroughs in understanding and manipulating these elusive quantum states. Specifically, the project will develop new ways to measure the similarity of PMMs to true topological MBSs. Furthermore, it will establish innovative protocols for performing nonabelian exchange operations, which are essential for proving the exotic properties of PMMs. The project’s success will be supported by collaborations with leading theoretical and experimental research groups. By the project's conclusion, the theory aims to have established a new benchmark for analyzing PMMs in QD-based platforms and lay the groundwork for first experimental demonstrations of nonabelian physics with a potentially large impact for future quantum technologies. The fellow will be taken to a leadership position in the field of topological quantum systems, with excellent future career prospects.