SPICE Workshop on Quantum Spinoptics, June 18th - June 20th 2024
Hossein Hosseinabadi
The theory of spin glasses is one of the pillars of modern statistical physics, offering insights that extend beyond its own domain to illuminate the behavior of various complex systems. Despite the experimental discovery of spin glasses in solid-state platforms, the disordered nature of these systems has hindered a comprehensive exploration of their theoretical foundations. Recent advancements in cavity quantum electrodynamics (c-QED) have provided the opportunity to investigate this curious phase of matter with unprecedented precision and control. In this talk I discuss our recent work, which provides the understanding of real-time dynamics in the formation of spin glasses within a setup closely connected c-QED experiments. Employing non-equilibrium quantum field theory methods, we explore the emergence of spin glass order in real time following a quench. We address dynamics across a diverse range of parameters for long times, while treating quantum and classical fluctuations on the same footing. Our theoretical approach offers the potential to tackle numerous other systems of interest in the field of many-body quantum optics.