Particle confined in modified ring-shaped potential

Talwar, Shalini Lumb; Lumb, Sonia; Sen, K. D.; Prasad, Vinod

doi:10.1088/1402-4896/ab520b

Cited by 8 publications

(3 citation statements)

References 63 publications

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“…Despite the absence of interaction (𝜆 = 0), the mutual information is not zero in either space. Our numerical results for the spatially free system are in exact agreement with the analytical results provided in Equations ( 34)- (37).…”

Section: Mutual Informationsupporting

confidence: 83%

“…It can be achieved by trapping the particles inside a box, applying external potentials, plasma, etc. [32][33][34][35][36][37][38][39][40][41][42] For example, the 1D harmonic oscillator limited by impenetrable walls is called a 1D confined harmonic oscillator (CHO). [43,44] As has been shown in many studies, quantum confinement changes the system's wave functions, energies, and other parameters, [45][46][47][48][49][50][51][52][53] which may result in a modified correlation.…”

Section: Introductionmentioning

confidence: 99%

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Control of Correlation Using Confinement in Case of Quantum System

Kumar,

Prasad

2023

Annalen der Physik

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This article investigates the behavior of a Moshinsky atom in a 1D harmonic trap. Focus is given on the theoretical foundations of confinement and its impact on the correlation between particles in the Moshinsky atom. The investigation begins by illustrating the (de)localization of the probability density function using Shannon entropy. The basics of correlation and interpretation of correlation using tools such as mutual information and statistical correlation coefficients and how these can be quantified are discussed. Then the concept of confinement is explored. The impact of interaction strength and confinement on Shannon entropy, statistical correlation coefficients, and mutual information is investigated. How interaction strength and confinement can be used to induce correlations between previously uncorrelated particles, as well as how they can be used to suppress correlations between previously correlated particles is discussed. Their implications for quantum information processing and quantum simulation are discussed. In conclusion, confinement is a powerful tool for controlling correlations in quantum systems, and its impact on correlation can be understood through theoretical models. The importance of experimental studies in this field, which provide insights into the behavior of quantum systems under confinement and pave the way for future applications in quantum technology is also emphasized.

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Section: Mutual Informationsupporting

confidence: 83%

Section: Introductionmentioning

confidence: 99%

Control of Correlation Using Confinement in Case of Quantum System

Kumar,

Prasad

2023

Annalen der Physik

Self Cite

View full text Add to dashboard Cite

show abstract

“…Consequently, in view of the importance of the subject, many theoretical works on confined systems can be found in the literature [41][42][43][44][45][46][47][48][49][50][51][52][53][54]. Different models of confinement have been proposed to study the properties of confined atoms and molecules, most of which use a potential barrier to model the confinement.…”

Section: Introductionmentioning

confidence: 99%

Effects of size on the spectrum and stability of a confined on-center Hydrogen atom

2022

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In this work we studied the problem of the stability of confined atoms when they are released from confinement. We analyzed the confined Hydrogen atom inside a cage modelled by a square-well potential, in particular the effects of size on the energy and the electronic structure of the confined atom, by considering different internal radii of the confining cage. Starting from the confined wave function, we clarified the effect on the probability transition between different confined states, and characterized the stability of the atom when released from in term of both, the ionization probability and the transition probability to a bound state of the free atom. The values of the different atomic properties calculated present oscillations when they are studied as a function of the size of the confining cage. This behavior can be explained in terms of the shell structure of the atom.

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Electron-impact excitation of atoms or ions with the screened Coulomb potential

Chen

2023

Physics of Plasmas

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This paper reports the development of a novel distorted wave approach based on the relativistic configuration interaction theory for calculating atomic structures, radiative properties, and collision dynamics of atoms or ions under external confinement. Due to its physical interpretations, the Hulthén potential, valid for many important areas (widely plasma environments) in physics and chemistry, such as atomic physics, solid-state physics, nuclear physics, particle physics, and astrophysics, is used to include the effect of plasma background. The Breit interaction and quantum electromagnetic dynamics effects are perturbatively included in the multi-electron Hamiltonian. Wave functions of bound and continuous states are obtained, which are analyzed by means of the Dirac equations. Interparticle interactions in the scattering matrix element of the system are described by the screened Coulomb interactions. As a test desk, the present approach is applied to the calculation of atomic structures and collision dynamics of an exemplary He-like S14+ ion embedded in a plasma. The energy eigenvalues, transition probabilities, and excitation cross sections are analyzed in detail in terms of the screening parameter. The results of the verification cases are compared to references from the literature, which show a good agreement. The present study not only opens up an opportunity to provide a simple and effective way for understanding the plasma shielding models for many-electron systems but also has important implications for a wide range of applications in astrophysics and laboratory plasma experiments.

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Particle confined in modified ring-shaped potential

Cited by 8 publications

References 63 publications

Control of Correlation Using Confinement in Case of Quantum System

Control of Correlation Using Confinement in Case of Quantum System

Effects of size on the spectrum and stability of a confined on-center Hydrogen atom

Electron-impact excitation of atoms or ions with the screened Coulomb potential

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