DFG-NSF Physics: Engineering topologically ordered and driven-dissipative steady states using nonequilibrium drives

• Applicant: Dr. Marin Bukov
• Subject Area: Optics, Quantum Optics and Physics of Atoms, Molecules and Plasmas
• Term: since 2025
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 563114538

Non-equilibrium drives are a valuable tool for engineering quantum systems, ranging from ultracold atoms and trapped ions to superconducting qubits and quantum materials. For instance, periodic drives enable the creation of novel effective Hamiltonians, a process known as Floquet engineering, as well as the realization of unitary dynamics that go beyond any possible static Hamiltonian system. However, modern AMO-based quantum simulation experiments are currently limited by the inability to cool the atoms into desired strongly correlated states, which is a crucial aspect of probing the engineered Hamiltonians. This proposal aims to demonstrate new methods for preparing and stabilizing nonequilibrium phases of matter in quantum systems, leveraging the PIs' expertise in Floquet physics, quantum optimal control, quantum geometry, and open quantum systems. The project focuses on three interconnected aims: (1) Investigating Kibble-Zurek scaling in topologically ordered systems, (2) Developing counterdiabatic driving and optimal control techniques in open quantum systems, and (3) Exploring dissipative regularization of Floquet resonances. These aims connect theoretical treatments of the nonequilibrium phase structure with experimental platforms on which the state preparation techniques can be applied. The proposed methods are expected to be immediately relevant in ultracold AMO experiments and superconducting qubit systems, although the ideas are sufficiently general that they will likely provide insight for solid-state materials as well.

• DFG Programme: Research Grants
• International Connection: USA
• Cooperation Partner: Professor Michael Kolodrubetz, Ph.D.