The behavior of many-particle quantum systems remains one of the central challenges in modern physics, with direct implications for quantum technologies and fundamental science. In particular, systems with long-range interactions exhibit rich and often unexpected phenomena, including emergent ordering, nontrivial collective dynamics, and enhanced correlations that cannot be captured by standard theoretical approaches. This project uses advanced large-scale simulations to investigate these effects in controlled quantum systems.
A primary focus is on ultracold dipolar gases and related quantum simulators, where long-range and anisotropic interactions arise naturally. These platforms provide a unique opportunity to explore complex quantum matter in regimes that are difficult to access experimentally or analytically. However, their theoretical description requires methods that go beyond mean-field approximations and can accurately capture correlations and dynamics.
To address this challenge, we employ and further develop multiconfigurational methods based on MCTDH-X, together with its extension AETHER, which enables efficient simulations of strongly correlated systems and provides access to regimes beyond conventional approaches. In the current project phase, these tools have been validated through systematic benchmarks of dipolar interactions, including the development of momentum-space formulations and GPU-accelerated implementations, enabling stable and scalable simulations of long-range interacting systems (see also the progress report for the first medium allocation).
Building on these developments, the next phase of the project will focus on large-scale simulations of dipolar systems and two-dimensional generalizations of the Calogero--Sutherland model in more complex and dynamically driven settings. In particular, we will investigate non-equilibrium dynamics through quantum quenches, study the response of these systems under rotation and external driving, and develop protocols to extract excitation spectra and collective modes directly from time-dependent simulations. This will allow us to probe key physical phenomena such as roton softening, droplet formation, and the emergence of supersolidity in dipolar gases, as well as crystallization and glassy behavior in strongly interacting long-range systems.
A central goal of this effort is to bridge the gap between few-body exact approaches and experimentally relevant many-body regimes. By combining improved numerical stability, GPU acceleration, and systematic benchmarking, we will provide quantitatively reliable predictions for systems where mean-field approaches are insufficient, and identify signatures of correlation-driven physics beyond current theoretical descriptions.
The project will leverage high-performance computing resources to carry out these simulations at unprecedented scale and accuracy. Ultimately, it will provide new insights into the role of long-range interactions in quantum matter and contribute to the development of predictive tools for next-generation quantum technologies.