Quantum optics with spins: from single-excitation to many-body physics

SPICE Workshop on Quantum Spinoptics, June 18th - June 20th 2024

Ana Asenjo Garcia

In these lectures, I will present a theoretical framework to describe interacting ensembles of two-level systems in diverse environments, discuss opportunities for developing efficient quantum applications, and address the challenges of open out-of-equilibrium dynamics. The first lecture will introduce a unified language connecting quantum optics and solid-state physics, employing a spin model that captures both coherent and dissipative dynamics. The second lecture will examine single and few-excitation physics of ordered arrays of spins, focusing on how collective behavior can be harnessed to realize efficient interactions between the qubits and specific modes of the environment. I will also discuss the emergence of dark states due to correlated dissipation, which can be leveraged for improving quantum information processing and storage protocols. The final lecture will venture into non-equilibrium many-body physics, highlighting open challenges and interdisciplinary methods. I will discuss how some tools developed within the condensed matter and Hamiltonian complexity theory communities can be applied in the context of out-of-equilibrium dynamics. While the series will focus on theoretical developments, I will also showcase recent experimental breakthroughs.