arXiv subjects

P. O. Amadi

Publications and source records attributed to P. O. Amadi.

8 recordsLinked to original sources

arXiv2026

Three-Photon and Hybrid Coherent-Fock Interference in a Two-Phase Six-Port Mach-Zehnder Interferometer

We present a unified theoretical analysis of three-photon quantum interference in a Six-Port Mach-Zehnder Interferometer (6p-MZI) constructed from two cascaded tritters, with two independent phase modulators placed between the tritter arms. We analytically derive the transfer matrix of the 6p-MZI and show how they organize into three symmetry classes, governed by the discrete Fourier transform (DFT) structure of the tritter and the conjugate relations. Furthermore, we analyze two input regimes: First, three indistinguishable single photons are injected into the tritter, and the output probability distributions $P_{[111]}$, $P_{[\{300\}]}$, and $P_{[\{210\}]}$ are derived as functions of the two relative phases $(ϕ_1, ϕ_2)$. At $ϕ_2 = 0$, the single-phase limit is recovered, which confirms 100\% visibility of the even-distribution fringe. Second, a hybrid coherent-Fock input $|α\rangle_1|α\rangle_2|1\rangle_3$ is analyzed via the density matrix formalism. The average photon number at each output port exhibits amplitude-dependent phase shifts. Our results establish the 6p-MZI as a programmable platform for tripartite quantum state manipulation and coherent amplitude sensing.

quant-ph↗

arXiv2026

Quantum Information Analysis in a q-Deformed Deng-Fan Model

We introduce a $q$-deformed Deng-Fan potential ($q$DFP) model that enables controlled modulation of short-range repulsion and long-range attraction while preserving the equilibrium configuration. The model is solved exactly within the framework of the time-independent Schrödinger equation, yielding closed-form expressions for the energy eigenvalues and wave functions in terms of hypergeometric functions. We show that the deformation parameter $q$ induces non-uniform spectral shifts and a redistribution of bound states. In particular, for $q<1$, the system exhibits spectral compression and enhanced spatial localization. In addition, we investigate the system from an information-theoretic perspective using Shannon entropy, Fisher information, and Fisher--Shannon complexity measures in both position and momentum spaces. The results reveal that the deformation parameter governs the redistribution of quantum information, establishing a direct connection between spatial confinement and momentum delocalization in accordance with the Białynicki-Birula and Mycielski entropic uncertainty principle. Stronger deformation pushes the quantum state further from the minimum-uncertainty configuration, increasing the entropic excess above the BBM bound and reducing the information content about complementary observables, even as position-space localization sharpens. The analysis of entropic and Fisher information densities further shows how the deformation reshapes both the local information content and the structural complexity of the quantum states. We show that in the limit $q\to 1$, the $q$DFP model is reduced to the standard Deng-Fan potential.

quant-ph↗

arXiv2023

Quantum flux effects on the energy spectra and thermo-magnetic properties in 2D Schrodinger equation with Mobius square potential

A 2D Schrodinger equation with interacting Mobius square potential model is solved using Nikiforov-Uvarov Functional Analysis (NUFA) formalism. The energy spectra and the corresponding wave function for the linearly and exponentially varying quantum magnetic flux are obtained analytically in a closed form. The evaluated energy spectra are used to obtain an expression for the partition functions for the two cases comprises of the linearly and exponentially varying quantum magnetic flux and vis-a-vis is use to evaluate other thermodynamic and magnetic properties for the system. The results are used to study the free energy, mean energy, the entropy, specific heat, magnetization, magnetic susceptibility and the persistent current of the system. The numerical bound state energies are computed.

quant-ph↗

arXiv2020

Approximate Solutions of the Fractional Schrodinger Equation for the Screened Kratzer Potential

By employing the concept of conformable fractional Nikiforv-Uvarov (NU) method, we solved the fractional Schrodinger equation with the screened Kratzer potential (SKP). By applying the Greene-Aldrich approximation and a coordinate transformation schemes, the analytical expressions of the bound state energy spectra and eigenfunctions for SKP were obtained. Numerical results for the energies of SKP for lithium hydride and hydrogen chloride diatomic molecules were computed for different fractional parameters. Also, the graphical variation of the bound state energy eigenvalues of SKP for LiH with different potential parameters and quantum numbers were discussed, as regards the selected fractional parameters. Our results are new and have not been reported in any literature before.

physics.chem-ph↗

arXiv2020

Superstatistics of the screened Kratzer potential with Modified Dirac Delta and Uniform Distributions

We solve the Schrodinger equation to obtain the energy eigenvalues expression of the screened Kratzer potential (SKP) model. With the energy eigenvalues, we evaluated for the partition function within the framework of superstatistics and extended to study the thermodynamic function for some selected diatomic molecules including HCl, LiH and H2. The modified Dirac delta and uniform distribution comparatively in each case in the absence and the presence of the deformation parameter were considered.

physics.chem-ph↗

arXiv2019

Thermodynamic properties of the Superstatistics and Normal Statistics of the Schrodinger Equation with generalized trigonometric Poschl Teller potential

Analytical solutions of the Schrodinger equation for the generalized trigonometric Poschl Teller potential by using an appropriate approximation to the centrifugal term within the framework of the Functional Analysis Approach have been considered. Using the energy equation obtained, the vibrational partition function was calculated and other relevant thermodynamic properties. More so, we use the concept of the superstatistics to also evaluate the thermodynamics properties of the system. It is noted that the well-known normal statistics results are recovered in the absence of the deformation parameter and this is displayed graphically for the clarity of our results. We also obtain analytic forms for the energy eigenvalues and the bound state eigenfunction solutions are obtained in terms of the hypergeometric functions. The numerical energy spectra for different values of the principal and orbital quantum numbers are obtained. To show the accuracy of our results, we discuss some special cases by adjusting some potential parameters and also compute the numerical eigenvalue of the trigonometric Poschl Teller potential for comparison sake. However, it was found out that our results agree excellently with the results obtained via other methods

quant-ph↗

arXiv2019

Thermal properties and Magnetic susceptibility of Hellmann potential in Aharanov-Bohm(AB) flux and Magnetic fields at zero and finite temperatures

In this research work, the Hellmann potential is studied in the presence of external magnetic and AB-flux fields. We solve the Schrodinger in the presence of these fields and the potential via the functional analysis approach (FAA). The energy equation and wave function of the system are obtained in closed form. The effect of the fields on the energy spectra of the system examined in details. It is found that the AB field performs better than the magnetic in its ability to remove degeneracy. Furthermore, the magnetization and magnetic susceptibility of the system was discussed at zero and finite temperatures. We evaluate the partition function and use it to evaluate other thermodynamic properties of the system such as magnetic susceptibility, Helmholtz free energy,entropy, internal energy and specific heat. A comparative analysis of the magnetic susceptibility of the system at zero and finite temperature shows a similarity in the behavior of the system. A straight forward extension of our results to three dimension shows that the present result is consistent with what is obtains in literature.

cond-mat.stat-mech↗

arXiv2019

Superstatistics of Schrödinger Equation with Pseudoharmonic potential in an External Magnetic and Aharanov-Bohm(AB) Fields

In this work, the thermodynamic property of pseudoharmonic potential in the presence of external magnetic and AB fields is investigated. We used effective Boltzmann factor within the superstatistics formalism to obtain the thermodynamic properties such as Helmholtz free energy (F), Internal energy (U), entropy(S) and specific heat (C) of the system. In addition, we discuss the result of the thermodynamic properties of some selected diatomic molecules of N2, Cl2, I2 and CH using their experimental spectroscopic parameters and that of the variation of the deformation parameter of q=0,0.3,0.7. We also illustrated with some graphs for clarity of our results in both cases.

quant-ph↗