2024/06/12 by Ricardo Herrera Romero, Romero, Ricardo Herrera, M. A. Bastarrachea-Magnani +1
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Cosmology and Gravitation Theories #FOS: Physical sciences #Nonlinear Waves and Solitons #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.2406.09446
openalex publication_date 2024/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Phase and amplitude modes are emergent phenomena that manifest across diverse physical systems, from condensed matter and particle physics to quantum optics. Also called polariton modes, we study their behavior in an anisotropic Dicke model that includes collective matter interactions. We study the low-lying spectrum in the thermodynamic limit via the Holstein-Primakoff transformation and contrast the results with the semiclassical energy surface obtained via coherent states. We also explore the geometric phase for both boson and spin contours in the parameter space as a function of the phases in the system. We unveil novel phenomena due to the unique critical features provided by the interplay between the anisotropy and matter interactions. We expect our results to serve for the observation of phase and amplitude modes in current quantum information platforms.