arXiv subjects

Godfrey E. Akpojotor

Publications and source records attributed to Godfrey E. Akpojotor.

6 recordsLinked to original sources

arXiv2026

Energy-Modulated Time-Asymmetric Spontaneous Collapse: Forward-Backward Dynamics from Stochastic Ito Reversal and Bright Solitons

We present a rigorous theoretical framework for symmetry breaking and quantum irreversibility arising from stochastic Ito field reversal within a cubic-quintic nonlinear Schrodinger equation (CQ-NLSE) formalism. Starting from three physically motivated considerations, forward and backward nonlinear stochastic differential equations are derived via the Ito calculus. Kinematic time-reversal is shown to be fundamentally incompatible with the Ito stochastic structure, yielding the universal asymmetry-coupling parameter of 2/3. An energy-driven collapse operator proportional to the product of noise strength, local probability density, and excitation energy squared is introduced, amplifying the collapse in high-density, high-excitation regions. Exactly bright soliton solutions are obtained for a quasi-one-dimensional BEC of attractive Li-7 atoms, with forward and backward amplitude ratio of 1.870. Heat map analysis of the parameter planes reveals that the forward collapse operator grows monotonically in time while the backward counterpart decays, achieving a ratio approximately 1030, sharply distinguishing this framework from conventional symmetric collapse models.

quant-ph↗

arXiv2013

Theorems to demostrate the presence of antiferromagnetism in the periodic Anderson model

Anderson model is an important model in the theory of strongly correlated electron system. In this study, we explore the ground state of this model and the concept of electron correlation by bipartite lattice and prove rigorously theorems leading to the presence of spin singlet in the model. By using the results of Ueda et al (1992) and Tian (1994), we show theoretically that the ground state of the symmetric periodic Anderson model has a short range order antiferromagnetism.

math-ph↗

arXiv2013

Simulation and Visualization of Chaos in a Driven Nonlinear Pendulum: An Aid to Introducing Chaotic Systems in Physics

The presence of physical systems whose characteristics change in a seemingly erratic manner gives rise to the study of chaotic systems. The characteristics of these systems are due to their hypersensitivity to changes in initial conditions. In order to understand chaotic systems, some sort of simulation and visualization is pertinent. Consequently, in this work, we have simulated and graphically visualized chaos in a driven nonlinear pendulum as a means of introducing chaotic systems. The visualized results obtained which highlight the hypersensitivity of the pendulum to initial conditions can be used to effectively introduce the physics of chaotic system. The simulation and visualization programme is written in Python codes.

nlin.CD↗

arXiv2013

Ultracold atoms in superlattices as quantum simulators for a spin ordering model and phenomena

Cold atoms in optical lattices is the application of two formerly distinct aspects of physics: quantum gases from atomic physics and laser theory from quantum optics. Its use to simulate quantum phenomena and models in condensed matter physics is a growing field. The major goal is to use cold fermonic atoms in these superlattices for the simulations. We present here a theoretical proposal for simulating a spin ordering model using fermions. We demonstrate superexchange interaction in the double well and resonating valence bond (RVB) states in kagome lattice which is important for understanding the CuO2 plane of the superconducting cuprates and other magnetic frustrated materials.

quant-ph↗

arXiv2013

A Pedagogical Study of the Grand Unification Theorem with Realization of Some Standard Equations

The God Almighty Grand Unification Theory proposed by Oyibo to unify all known forces in nature and other possibly unknown force fields has remained controversial not just because of its ambitious claims but also because of its unconventional mathematical approach. He has adopted the mathematical approach from his experience at solving the Navier Stokes equations in fluid mechanics using invariance of an arbitrary function under a group of conformal transformations. However, this esoteric approach resulted in a sound mathematical formulation for the modelling philosophy of his theorem which is that since the fundamental characteristic of the universe is motion and motion can only be provided by force, then the universe could be viewed as a large force field. He then represented the conservation of this large force field at a given space time point in the universe by a set of generic equations from which he obtained his generic solutions whose specific applications depend on the initial/boundary conditions and other physical constraint conditions. An important achievement of the theorem methodology is that modelling with it is reduced to algebraic operations rather than differential equations for the most parts in previous methodologies. With this understanding from pedagogically studying the modelling philosophy and mathematics of the theorem, we have been able to recover from it simple standard equations such as in the Fermat principle for geometric optics. This is encouraging and therefore supports the possibility to recover more results and also to provide new ones, thereby supporting the theorem as a potential candidate for a grand unification theory.

physics.gen-ph↗

arXiv2012

A possible fundamental theory of Cooper Pair formation in unconventional superconductivity

The successful application of the electron-phonon interaction (EPI) mechanism in formulating the Bardeen-Cooper-Schrieffer (BCS) theory of superconductivity is among the most outstanding intellectual achievements in theoretical physics because of the successful application of the theory to the conventional superconducting materials. Therefore, its unsuccessful application to the nonconventional superconducting materials has led to the search for new theories which generalized it, include an interplay with other mechanisms or are formulated from non - EPI mechanisms. We observe in this current study that to achieve a generalized theory of superconductivity, there is need to first developed a quantitative structure model of the Cooper pair formation (CPF) in line with the formulation of the molecules in nature which has given birth to hadronic mechanics. This generalized formulation is the iso-superonductivity model which is based on the observation that the Cooper pair of the standard BCS model may have a nonlocal-nonhamiltonian structure equivalent to the strong interaction ("hadronic" mechanics (HM)) structure of the neutral pion, as compressed positronium atom at short distances (< 1 F \sim 10-13 cm. The equivalent but approximate description at large distances (> 1 F) is by the quantum mechanical superexchange interaction. This generalized CPF has been used to successfully explain the high-Tc superconductivity in the cuprates as well as to account for the transition temperatures of these materials. It is also used to account for the high-Tc iron based superconducting materials.

cond-mat.supr-con↗