Shannon entropy and Fisher information for endohedral confined one- and two-electron atoms

Martínez‐Flores, César

doi:10.1016/j.physleta.2020.126988

Cited by 37 publications

(27 citation statements)

References 63 publications

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“…The study of quantum systems in information theory context already has a series of published works, for instance, analyses involving the one-dimensional systems [13][14][15][16][17] and confined hydrogen atom [18][19][20][21][22][23]. Studies on the free or confined helium-like atoms also have received attention in the informational context [24][25][26][27][28][29][30][31][32][33].…”

Section: Supplementary Informationmentioning

confidence: 99%

Coulomb correlation and information entropies in confined helium-like atoms

2021

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The present work studies aspects of the electronic correlation in confined H − , He and Li + atoms in their ground states using the informational entropies. In this way, different variational wavefunctions are employed in order of better take account of Coulomb correlation. The obtained values for the Sr, Sp and St entropies are sensitive in relation to Coulomb correlation effects. In the strong confinement regime, the effects of the Coulomb correlation are negligible and the employment of the models of independent particle and two non-interacting electrons confined by a impenetrable spherical cage gains importance in this regime. Lastly, energy values are obtained in good agreement with the results available in the literature.

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Section: Supplementary Informationmentioning

confidence: 99%

Coulomb correlation and information entropies in confined helium-like atoms

2021

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“…Not far from quantum theory, information theory has been a practical tool to investigate uncertainty measurements related to quantum-mechanical systems [ 42 , 43 , 44 , 45 , 46 ]. Information theory emerged with Shannon’s seminal paper A Mathematical Theory of Communication in 1948 [ 47 ].…”

Section: Introductionmentioning

confidence: 99%

Quantum Information of the Aharanov–Bohm Ring with Yukawa Interaction in the Presence of Disclination

Edet

Lima

Almeida

et al. 2022

Entropy

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We investigate quantum information by a theoretical measurement approach of an Aharanov–Bohm (AB) ring with Yukawa interaction in curved space with disclination. We obtained the so-called Shannon entropy through the eigenfunctions of the system. The quantum states considered come from Schrödinger theory with the AB field in the background of curved space. With this entropy, we can explore the quantum information at the position space and reciprocal space. Furthermore, we discussed how the magnetic field, the AB flux, and the topological defect influence the quantum states and the information entropy.

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“…The other statistical measures of complexity C was defined by López-Ruiz [27] and known as LMC measure. In the context of measuring Shannon information entropy, complexity is taken as the most efficient measure of order and disorder exist in a system [28][29][30][31][32][33][34]. The most common case is the 'convex' type complexity where it is minimum both for completely ordered and disordered system.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of order-disorder and complexity for interacting bosons in optical lattice

Roy¹,

Chakrabarti²,

Chavda³

et al. 2022

Preprint

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The present work reports on the dynamical measures of order, disorder and complexity for the interacting bosons in optical lattice. We report results both for the relaxed state as well as quench dynamics. Our key observations are: (1) Lattice depth can be taken as order-disorder parameter.(2) The superfluid to Mott insulator transition can be treated as 'order-disorder' transition. Our main motivation is to find how the system organize by itself during quench and how it optimizes the complexity. We find dynamical measures of order and disorder are more sensitive tool than entropy measures. We specifically calculate the time scale of entry and exit of different phases during time evolution. Initially the system exhibits collapse revival trend, however gradually looses its ability to turn back to superfluid phase and finally Settle to Mott insulator phase.

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Shannon entropy and Fisher information for endohedral confined one- and two-electron atoms

Cited by 37 publications

References 63 publications

Coulomb correlation and information entropies in confined helium-like atoms

Coulomb correlation and information entropies in confined helium-like atoms

Quantum Information of the Aharanov–Bohm Ring with Yukawa Interaction in the Presence of Disclination

Dynamics of order-disorder and complexity for interacting bosons in optical lattice

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