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This paper aims to describe absolutely nothing yet somewhat everything, under the assumption that there are many more generations of particles and waves than the accepted view that there are three generations. This paper aims to describe what each generation means, suggesting that for each generation there is a different dimension, and where each generation describes a type of certainty, a type of decision, and a type of communication. This paper introduces a model of communication, for which there is a fundamental hierarchy.

The dynamics of a particle in a spherical box (PISB) in the presence of a static electric field is analyzed. According to recent research, the electric field has an interesting effect on information measurements like Shannon entropy. In this work, we propose to study the influence of the external electric field on entropic measures of a PISB. The total Shannon entropy $$S_\mathrm{T}$$ in the presence of a static electric field shows variations with the confining radius, but $$S_\mathrm{T}$$ remains constant with the confining radius in the absence of a static electric field. We calculated different quantum entropic measures of PISB with and without the external electric field. The Shannon entropy of considered levels with confinement and electric field is studied in detail. It is shown the electric field shows considerable modification on $$S_\mathrm{T}$$ and other parameters. We have also calculated corresponding Kullback–Leibler distance in position and momentum space.

Quantum entanglement is a phenomenon in theoretical physics that happens when pairs or groups of particles are generated in such a way that the quantum state of each particle cannot be described independently...

The elusive nature of localized integrals of motion (or l-bits) in disordered quantum systems lies at the core of some of their most prominent features, i.e. emergent integrability and lack of thermalization. Here, we study the quench dynamics of a one-dimensional model of spinless interacting fermions in a quasi-periodic potential with a localization-delocalization transition. Starting from an unentangled initial state, we show that in the strong disorder regime an important subset of the $l$-bits can be explicitly identified with strongly localized two-level systems, associated with particles confined on two lattice sites. The existence of such subsystems forming an ensemble of nearly free l-bits is found to dominate the short-time dynamics of experimentally relevant quantities, such as the Loschmidt echo and the particle imbalance. We investigate the importance of the choice of the initial state by developing a second quench protocol, starting from the ground-state of the model at different initial disorder strengths and monitoring the quench dynamics close to the delicate ETH-MBL transition regime., 15 pages, 5 Figures. Submitted to the 2020 Localization Special Issue of Annals of Physics