Aspects of quantum geometry in photonic time crystals
Optics
2025-11-24 v1 Quantum Gases
Quantum Physics
Abstract
We develop a geometric description of quantum light in photonic time crystals on the SU(1,1) coherent-state manifold. In a projective picture, the evolution of each mode appears as a M\"obius isometry on the Poincar\'e disk, where topologies of trajectories distinguish stable, unstable, and critical regimes. The geometric phase is related to the hyperbolic area enclosed by cyclic paths in the complex projective Hilbert space. This framework offers an intuitive view of stability and topology in quantum photonic time crystals.
Keywords
Cite
@article{arxiv.2511.17317,
title = {Aspects of quantum geometry in photonic time crystals},
author = {Karthik Subramaniam Eswaran and Ali Emami Kopaei and Krzysztof Sacha},
journal= {arXiv preprint arXiv:2511.17317},
year = {2025}
}
Comments
4 pages, 4 figures + supplementary material