Driven-dissipative dynamics in superconducting circuits lattice

Quantum many-body physics focuses on the emergent quantum properties of many interacting quantum particles. Many of these address fundamental questions in condensed matter physics and quantum information science. However, preparing and controlling many-body states in experiments can be a challenging task, especially in the presence of noise. Can we use fine-tuned dissipation to generate and even manipulate many-body states? In this thesis, we investigate novel methods for probing, controlling, and detecting strongly correlated many-body phases by engineering highly tunable quantum baths coupled to superconducting circuits.

We developed a comprehensive experiment toolbox for creating quantum baths with full spatial, spectral, and temporal control in superconducting circuits. As the first application of this toolbox, we observed and characterized the non-equilibrium transport processes in a bath-coupled 1D Bose-Hubbard lattice. Extending this transport-type scheme to higher-dimensional systems can give us even richer physics. Utilizing the spectral tunability of the baths, we also employed these baths as tunneling probes to characterize the local quasi-particle and hole spectra in a strongly interacting Bose-Hubbard lattice. We observed the effect of two-body and three-body interactions. Aside from serving as probes in analog quantum simulation, we also demonstrated how to control entanglement in the lattice using these drive-dissipative baths. From stabilizing two-qubit entanglement to many-body eigentstates, we discussed the details of the experiment realization and its limitations. On the other hand, these engineered bath protocols can be extended to control correlated decays in an interacting qubit array, which is closely related to the study of super- and sub-radiance in many-body systems. Aside from these driven-dissipative controls, we also developed new methods for efficiently characterizing many-body entanglement, the dynamics of quantum correlations, and their statistics.

These works demonstrate new methods for controlling many-body phases and probing quantum many-body dynamics, thereby deepening our understanding of novel quantum phenomena and serving as a valuable resource for the advancement of quantum technologies.