Krzysztof
Jachymski
University of Warsaw
Quantum many-body systems are characterized by exponentially large Hilbert space, which makes them difficult to model efficiently. Quantum simulators can act as a bridge between simplistic models and more complex ones. We show how to realize the extended Hubbard-Holstein model relevant for materials with strong electron-phonon coupling in an AMO setup using a mixture of Rydberg and ground state atoms. We discuss a variational numerical method designed to access the phase diagram of the system and its extension to other hybrid systems such as the Dicke model.
