Caballero Benitez, Santiago

Structural dynamics with strong quantum correlations and analog magnetic simulation with ultracold atoms in high-q cavities

Santiago Caballero Benitez - Universidad Nacional Autónoma de México, Mexico City, Mexico

In this talk, we will discuss theoretical aspects of emergent orders in crossed cavity systems [1] with posible realizations in the limit of strong and weak interactions. In one setup, we consider atoms in the quantum correlated regime [2] where we employ a newly developed light-matter DRMG algorithm. In the second setup, we consider analog emergent magnetic order that can be controlled in a mixed system using pseudo-spectral methods for simulations [3].

[1]F. Mivehvar, F. Piazza, T. Donner, and H. Ritsch, Cavity QED with quantum gases: new paradigms in many-body physics, Advances in Physics 70, 1–153 (2021).
[2]A. U. Ramírez-Barajas and S. F. Caballero-Benítez, Structural Dynamics and Strong Correlations in Dynamical Quantum Optical Lattices,
arXiv:2502.00588 (2025).
[3]B. Ríos-Sánchez and S. F. Caballero-Benítez, Control, competition and coexistence of effective magnetic orders by interactions in Bose-Einstein condensates with high-Q cavities, arXiv:2412.07250 (2024)