On 26 September 2022, we observed a quiescent solar prominence with Hα imaging spectroscopy using the Solar Dynamics Doppler Imager (SDDI) on the SMART telescope. Unlike earlier works that detected 4- and 15-min oscillations through long-slit, 1D wavelet methods, we adapt the wavelet analysis to 3D data to explore the full prominence structure. Complementary data from SDO/AIA (304 Å, 171 Å) STEREO-A/EUVI (304 Å), and Solar Orbiter EUI/FSI (304 Å, 174 Å) enable a multi-view, multi-thermal investigation of wave periodicity across the prominence. Our aim is to characterize how oscillatory periods are distributed in plasma at different temperatures and viewing angles, thereby assessing wave propagation and variability throughout the prominence body.
Geometric frustration lies at the heart of many unconventional quantum phases in strongly interacting electron systems. In this talk, I will present our recent work [1], in which we analytically determine the ground state magnetization of the half-filled Hubbard model on frustrated geometries where superstable states —eigenstates that are robust against frustration —are manifest. Our results apply to a broad class of lattices, including those in which alternating magnetic and superconducting states are known to emerge. Furthermore, they provide evidence for phase transitions involving a geometric rearrangement of magnetic correlations in the thermodynamic limit. Finally, we will discuss implications for equilibrium and non-equilibrium dynamics.
[1] F. P. M. Méndez-Córdoba, J. Tindall, D. Jaksch, and F. Schlawin, arXiv:2509.07079 (2025).
