SAMOP 2023 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 18: Quantum Optics: Cavity and Waveguide QED I
Q 18.3: Vortrag
Dienstag, 7. März 2023, 11:45–12:00, E214
Crafting the dynamical structure of synchronization by harnessing bosonic multi-level cavity QED — •Riccardo J. Valencia-Tortora1, Shane P. Kelly1, Tobias Donner2, Giovanna Morigi3, Rosario Fazio4,5, and Jamir Marino1 — 1JGU Mainz, Mainz, Germany — 2ETH Zürich, Zürich, Switzerland — 3Saarland University, Saarbrücken, Germany — 4ICTP, Trieste, Italy — 5Università di Napoli Federico II, Napoli, Italy
Recently, the theoretical and experimental investigation of multi-level cavity systems has gathered increasing attention. Yet, the rich diversity of dynamical responses they can host is still widely unexplored, and the few individual results call for a unifying picture both for theoretical and experimental purposes. We present a framework which could serve this scope based on a dynamical reduction hypothesis, which in summary states that the dynamics of collective observables can be described by a few-body effective Hamiltonian. Using this conjecture as a guiding principle, we intuitively explain and craft the dynamical response of an exchange model for SU(N) spins mediated by cavity photons after a quench. In this regard, we unveil the susceptibility of the dynamical response of multi-level systems to quantum fluctuations and intra-levels entanglement, observing among the others the onset of a chaotic phase characterized by exponential sensitivity to the initial conditions. To conclude, we discuss possible extensions to other spin-exchange quantum simulators and a universal conjecture for the dynamical reduction of non-integrable all-to-all interacting systems.