Volume 535, Issue 10 2300166
Research Article

Control of Correlation Using Confinement in Case of Quantum System

Kirtee Kumar

Kirtee Kumar

Department of Physics and Astrophysics, University of Delhi, Delhi, 110007 India

Department of Physics, Kirori Mal College, University of Delhi, Delhi, 110007 India

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Vinod Prasad

Corresponding Author

Vinod Prasad

Department of Physics, Swami Shraddhanand College, University of Delhi, Delhi, 110036 India

E-mail: [email protected]

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First published: 19 September 2023
Citations: 2

Abstract

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.

Conflict of Interest

The authors declare no conflict of interest.

Data Availability Statement

The data that support the findings of this study are available from the corresponding author upon reasonable request.

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