Effect of electric and magnetic field on thermal property of two dimensional harmonic oscillator

Arora, Monika; Giri, Rajesh; Varsha,; Kumar, Kirtee; Yadav, Chanchal; Vidhani, Bhavna; Gambhir, Monica; Prasad, Vinod

doi:10.1016/j.rinp.2023.106225

Cited by 2 publications

(1 citation statement)

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“…[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%

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: Introductionmentioning

confidence: 99%

Control of Correlation Using Confinement in Case of Quantum System

Kumar,

Prasad

2023

Annalen der Physik

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Analysis of Shannon Entropy and Quantum States of a Confined Hydrogen Atom Screened by the Hellmann Potential

Kumar,

Prasad

2024

Advcd Theory and Sims

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This study investigates the impact of spatial confinement and the Hellmann potential on the Shannon entropy of a hydrogenic atom. A hydrogenic atom screened by the Hellmann potential and confined within an impenetrable spherical potential is analyzed. The Schrödinger equation is solved numerically using the finite difference method to determine energy eigenvalues and wavefunctions. These wavefunctions are examined in both position and momentum spaces to calculate the Shannon entropy in position space , the Shannon entropy in momentum space , and the total Shannon entropy . How the confinement radius and the screening parameter affect these entropies is investigated, and the results are compared to those of unconstrained systems. The findings are contrasted with previously reported results and discussed in relation to the Beckner–Bialynicki–Birula–Mycielski (BBM) inequality, offering insights into the behavior of quantum states under confinement. Significant variations in Shannon entropy and energy levels are observed with changes in confinement and screening parameters, providing a deeper understanding of quantum mechanics in confined systems. The study reveals a critical screening parameter at which the behavior of entropy transitions, shedding light on the interplay between spatial confinement, screening effects, and quantum uncertainties.

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Effect of electric and magnetic field on thermal property of two dimensional harmonic oscillator

Cited by 2 publications

References 42 publications

Control of Correlation Using Confinement in Case of Quantum System

Control of Correlation Using Confinement in Case of Quantum System

Analysis of Shannon Entropy and Quantum States of a Confined Hydrogen Atom Screened by the Hellmann Potential

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