I've been studying several spin systems, specially collective spin systems where semiclassical analogues can be defined. Also, many body systems like the Bose-Hubbard model

I'm currently looking for signatures of multifractality and its connection to quantum chaos, particularly in the Quantum Kicked Top model and coupled kicked tops.

I'm starting a new line of research using quantum channels to describe bipartite systems by tracing out one of the subsystems.

Many body quantum chaos and periodic systems

Localization measures and multifractality

Quantum channel description of composite systems

Quantum classical correspondence in closed and open quantum systems

arxiv Participation Ratio as a Quantum Probe of Hierarchical Stickiness 

arxiv Choi echo: dynamical irreversibility and local decoherence in quantum many-body chaos  

Phys. Rev. E 112, 024201 Phase space geometry of collective spin systems: Scaling and fractality