Corbett Abdi (rangetaste1)

A study of Floquet states within multiqubit systems, accommodating arbitrarily powerful couplings, brings forward a fresh view for interpreting the behavior of strongly driven hybrid systems. The capacity of elastic structures to rapidly change form between stable states is noticeable in the way umbrellas invert in strong winds and the way hopper-popper toys flip when reversed. The snap-through mechanism, a common motif for storing and releasing elastic energy rapidly, is effectively employed in biological systems, such as the Venus flytrap, and in engineered systems like mechanical metamaterials. The system's shape transitions display a clear relationship with the type of bifurcation the system undergoes; nonetheless, the selection criteria for these bifurcations remain obscure. We delve into two systems, recently published, which are examined numerically and analytically. These systems concern an elastic strip, initially buckled, undergoing shape transitions prompted by either rotation or translation of its boundaries. The two systems are shown to be mathematically equivalent, and three representative cases are identified that fully capture the range of transitions reported by prior authors. Key to this analysis, reduction order methods determine the character of the intrinsic bifurcations and illustrate how these bifurcations are forecast from geometric symmetries and symmetry-breaking processes, thereby providing universal rules for elastic shape alterations. The impact of light-induced plasmon excitations on energy confinement within nanoclusters affects nanophotonics, photocatalysis, and the development of controlled slow-electron emission devices. A unique perspective on the collective electronic behavior is offered by the resonant decay of these excitations, observed within the cluster's ionization continuum. Still, the shift of a portion of this decay amplitude into the continuous range of a second, conjugate cluster could grant control and efficiency in the non-local dispersion of energy, leading to distant collective happenings. Considering a spherically nested dimer Na20@C240 of two plasmonic systems, we find that such a transfer phenomenon is possible, originating from the fundamental resonant intercluster Coulombic decay (RICD). The photoelectron velocity map imaging technique allows for the experimental detection of this plasmonic RICD signal. We hypothesize the presence of superluminal solitons situated within the momentum gap (k gap) of nonlinear photonic time crystals. Spatial plane waves constitute these gap solitons, which simultaneously exhibit periodic self-reconstructing wave packets in time. Modes with infinite group velocity give rise to solitons, causing superluminal evolution, a characteristic opposite to the stationary nature of Bragg gap solitons located at the edge of an energy gap (or a spatial gap) with zero group velocity. We explore the faster-than-light pulsed propagation of k-gap solitons in relation to Einstein's causality. We introduce a truncated input seed as a precursor for a signal velocity forerunner, and the results confirm that this superluminal propagation does not violate causality. The cutting-edge model for natural language processing, and now also for computer vision, is the transformer architecture, which has led to the development of the Vision Transformer (ViT) architecture. A significant quality is the capacity to characterize extended correlations across the elements within the input series, by employing the self-attention method. Employing a modified ViT architecture with complex parameters, we present a new class of variational neural-network states for describing quantum many-body systems, namely the ViT wave function. We demonstrate the efficacy of this idea on the one-dimensional J1-J2 Heisenberg model, revealing that a relatively simple parameterization provides excellent results for both gapped and gapless phases. This s