Miguel Bastarrachea-Magnani

Universidad Autónoma
Metropolitana-Iztapalapa

Quantum probing of classical structures in the Dicke Hamiltonian

When: 12:00-13:00 CET, November 21st (Thursday), 2024

Where: Seminar Room (182), ICMM-CSIC, Campus de Cantoblanco, Madrid

The Dicke Hamiltonian is a paradigmatic model of quantum
optics that describe the ultra-strong coupling between light and
collective modes of matter. This interaction results in the creation of
polaritons, hybrid quantum states that share properties of their
original components. Originally proposed to describe atoms in cavities,
the model has now become a general formulation of the spin-boson
interaction with applications in polariton physics and various systems
within the context of quantum information, atomic physics, and condensed
matter. In this talk, I will address the model’s theoretical richness
for exploring the quantum-classical correspondence. Thanks to its
collective nature, it is possible to easily identify a classical
counterpart and use quantum localization techniques to probe, identify,
and quantify structures in phase space, regularity, and chaos,
establishing a route to explore other, more complex, interacting quantum
systems.