Quantum-information theory of magnetic field influence on circular dots with different boundary conditions
نویسندگان
چکیده
Influence of the transverse uniform magnetic field $\bf B$ on position (subscript $\rho$) and momentum ($\gamma$) Shannon quantum-information entropies $S_{\rho,\gamma}$, Fisher informations $I_{\rho,\gamma}$ informational energies $O_{\rho,\gamma}$ is studied theoretically for 2D circular quantum dots (QDs) whose circumference supports homogeneous either Dirichlet or Neumann boundary condition (BC). Analysis reveals similarities differences influence properties structure surface interaction with field. Conspicuous distinction between spectra are crossings at increasing induction same radial number $n$ adjacent non-positive angular indices $m$. At growing $B$, system undergoes Landau condensation when its characteristics turn into their counterparts. For this transformation takes place smaller intensities; e.g., sum $S_{\rho_{00}}+S_{\gamma_{00}}$ approach from above to a fundamental limit $2(1+\ln\pi)$ any $B$ than corresponding quantity what physically means that former geometry provides more total information about motion particle. It pointed out widely accepted disequilibrium uncertainty relation $O_\rho O_\gamma\leq(2\pi)^{-\mathtt{d}}$, $\mathtt{d}$ being dimensionality system, violated by QD in Comparison electrostatic harmonic confinement performed. Physical interpretation based different roles two BCs interplay field: (Neumann) repulsive (attractive) interface.
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ژورنال
عنوان ژورنال: Physica Scripta
سال: 2023
ISSN: ['1402-4896', '0031-8949']
DOI: https://doi.org/10.1088/1402-4896/ace2f3