Inspired by Eugene Wigner’s work, we can transform quantum dynamics into phase-space dynamics using quasi-probability distributions (QPDs), which encapsulate the complete behavior of the system. Solving the dynamics of a QPD enables the calculation of other observables, such as entanglement entropy.

My research focuses on finding mappings to analytical partial differential equations in phase space for various continuous-variable, open bosonic many-body systems. I aim to capture these dynamics through a generative Neural Quantum States (NQS) ansatz, where neural networks serve as powerful function approximators. I aim to provide a scalable, accurate approach to simulate open quantum systems, pushing the boundaries of what can be calculated in quantum many-body dynamics.