Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physics Letters A

Quantum information entropies for a squared tangent potential well

Shishan Dong, Guo-Hua Sun, Shi‐Hai Dong, Jerry Paul Draayer

Published Nov 21, 2013• 95 citations
Publisher
DOI
10.1016/j.physleta.2013.11.020

Related papers

Generalized quantum entropies

Adriana Paula Batista dos Santos, R. Silva, J. S. Alcaniz +1 more

Physics Letters A•Jul 10, 2011•8 citations

Nonlinear optical refractive index changes of GaAs/AlGaAs quantum dot under tangent-square potential

Ceng Chang

Abstract We investigate in detail the effects of some factors on the optical refractive index change (RICs) in GaAs/AlGaAs parabolic quantum dot (QD) with tangent-square potential (TSP) in our paper, such as the radius of quantum dot, the depth and width limit potential. In the first place, we increase the limit of tangent square potential in the z-direction of the system, which is based on the original parabolic QD, then the Schrödinger equation corresponding to the modified system is solved, and the expressions of different splitting energy levels and wave functions are obtained. At last, the numerical simulations indicate that these physical factors have a significant effect on the nonlinear optical performances of the tunable system.

Physica Scripta•Mar 15, 2023•4 citations

Complexification of Information Geometry in view of quantum estimation theory

Hiroshi Nagaoka

Complexification of Information Geometry in view of quantum estimation theory Introduction • M : manifold with affine structure (flat connection) (θi ) ↓ TM : tangent bundle with a complex structure • M : manifold with a Hessian structure ((θi ), g, ψ) gij(θ) = ∂i∂jψ(θ) (∂ = ∂ ∂θi ) ↓ TM : tangent bundle with a K¨ahler structure with a K¨ahler potential ψ(θ) • M : manifold with affine structure (flat connection) (θi ) ↓ TM : tangent bundle with a complex structure • M : manifold with a Hessian structure ((θi ), g, ψ) gij(θ) = ∂i∂jψ(θ) (∂ = ∂ ∂θi ) ↓ TM : tangent bundle with a K¨ahler structure with a K¨ahler potential ψ(θ) As H. Shima pointed out in his book: and (dually flat structure) Introduction • M : manifold with affine structure (flat connection) (θi ) ↓ TM : tangent bundle with a complex structure • M : manifold with a Hessian structure ((θi ), g, ψ) gij(θ) = ∂i∂jψ(θ) (∂ = ∂ ∂θi ) ↓ TM : tangent bundle with a K¨ahler structure with a K¨ahler potential ψ(θ) • M : manifold with affine structure (flat connection) (θi ) ↓ TM : tangent bundle with a complex structure • M : manifol

•Aug 28, 2013•0 citations

Quantum entropies

Sarah Chehade, Anna Vershynina

Scholarpedia•Jan 1, 2019•19 citations

Quantum Entropies and Their Maximizations

Masanori Ohya

Springer eBooks•Jan 1, 1993•0 citations

Information theory and thermodynamic study of a 2D harmonic oscillator modified by inverse-square potential

Chou‐Yi Hsu, Pradeep Kumar Singh, C. A. Onate +4 more

This work provides analytical study of a two-dimensional quantum harmonic oscillator (HO) coupled with a perpendicular magnetic field (B) in the x-direction and an inverse-square potential in the y-direction. The system’s Hamiltonian is exactly solved via variable separation, to obtain the energy levels and wavefunctions composed of Hermite and associated Laguerre polynomials. Fisher information (FI) and Shannon entropy (SE) for both position space (PS) and momentum space (MS) are fully examined under the magnetic field strength and anisotropic potential parameters. The canonical partition function is computed and thermodynamic quantities such as internal energy, entropy, and Gibbs free energy are evaluated. The result shows that the presence of magnetic field enhances spatial localization and reduces uncertainty in PS but has a revised effect in the MS. In the thermodynamic properties, there is asymmetric thermodynamic responses in the x- and y-directions due to the presence of the magnetic field and the inverse-square potential. This study highlights the deep relationship between quantum information theory and thermodynamics in low-dimensional systems with structured interactions.

Scientific Reports•Dec 21, 2025•1 citation
Abstract We investigate in detail the effects of some factors on the optical refractive index change (RICs) in GaAs/AlGaAs parabolic quantum dot (QD) with tangent-square potential (TSP) in our paper, such as the radius of quantum dot, the depth and width limit potential. In the first place, we increase the limit of tangent square potential in the z-direction of the system, which is based on the original parabolic QD, then the Schrödinger equation corresponding to the modified system is solved, and the expressions of different splitting energy levels and wave functions are obtained. At last, the numerical simulations indicate that these physical factors have a significant effect on the nonlinear optical performances of the tunable system.
Complexification of Information Geometry in view of quantum estimation theory Introduction • M : manifold with affine structure (flat connection) (θi ) ↓ TM : tangent bundle with a complex structure • M : manifold with a Hessian structure ((θi ), g, ψ) gij(θ) = ∂i∂jψ(θ) (∂ = ∂ ∂θi ) ↓ TM : tangent bundle with a K¨ahler structure with a K¨ahler potential ψ(θ) • M : manifold with affine structure (flat connection) (θi ) ↓ TM : tangent bundle with a complex structure • M : manifold with a Hessian structure ((θi ), g, ψ) gij(θ) = ∂i∂jψ(θ) (∂ = ∂ ∂θi ) ↓ TM : tangent bundle with a K¨ahler structure with a K¨ahler potential ψ(θ) As H. Shima pointed out in his book: and (dually flat structure) Introduction • M : manifold with affine structure (flat connection) (θi ) ↓ TM : tangent bundle with a complex structure • M : manifold with a Hessian structure ((θi ), g, ψ) gij(θ) = ∂i∂jψ(θ) (∂ = ∂ ∂θi ) ↓ TM : tangent bundle with a K¨ahler structure with a K¨ahler potential ψ(θ) • M : manifold with affine structure (flat connection) (θi ) ↓ TM : tangent bundle with a complex structure • M : manifol
This work provides analytical study of a two-dimensional quantum harmonic oscillator (HO) coupled with a perpendicular magnetic field (B) in the x-direction and an inverse-square potential in the y-direction. The system’s Hamiltonian is exactly solved via variable separation, to obtain the energy levels and wavefunctions composed of Hermite and associated Laguerre polynomials. Fisher information (FI) and Shannon entropy (SE) for both position space (PS) and momentum space (MS) are fully examined under the magnetic field strength and anisotropic potential parameters. The canonical partition function is computed and thermodynamic quantities such as internal energy, entropy, and Gibbs free energy are evaluated. The result shows that the presence of magnetic field enhances spatial localization and reduces uncertainty in PS but has a revised effect in the MS. In the thermodynamic properties, there is asymmetric thermodynamic responses in the x- and y-directions due to the presence of the magnetic field and the inverse-square potential. This study highlights the deep relationship between quantum information theory and thermodynamics in low-dimensional systems with structured interactions.