Quantum-information theory of magnetic field influence on circular dots with different boundary conditions

• URL: http://arxiv.org/abs/2306.16114v2
• Date: Mon, 10 Jul 2023 11:29:29 GMT
• Title: Quantum-information theory of magnetic field influence on circular dots with different boundary conditions
• Authors: H. Shafeekali, O. Olendski
• Abstract summary: 2D circular quantum dots (QDs) whose circumference supports homogeneous either Dirichlet or Neumann boundary condition (BC) Physical interpretation is based on the different roles of the two BCs and their interplay with the field: Dirichlet (Neumann) surface is a repulsive (attractive) interface.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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 $I_{\rho,\gamma}$ and informational energies $O_{\rho,\gamma}$ is studied theoretically for the 2D circular quantum dots (QDs) whose circumference supports homogeneous either Dirichlet or Neumann boundary condition (BC). Analysis reveals similarities and differences of the influence on the properties of the structure of the surface interaction with the magnetic field. Conspicuous distinction between the spectra are crossings at the increasing induction of the Neumann energies with the same radial quantum number $n$ and adjacent non-positive angular indices $m$. At the growing $B$, either system undergoes Landau condensation when its characteristics turn into their uniform field counterparts. For the Dirichlet system this transformation takes place at the smaller magnetic intensities; e.g., the Dirichlet sum $S_{\rho_{00}}+S_{\gamma_{00}}$ on its approach from above to a fundamental limit $2(1+\ln\pi)$ is at any $B$ smaller than the corresponding Neumann quantity what physically means that the former geometry provides more total information about the position and motion of the particle. It is pointed out that the widely accepted disequilibrium uncertainty relation $O_\rho O_\gamma\leq(2\pi)^{-\mathtt{d}}$, with $\mathtt{d}$ being a dimensionality of the system, is violated by the Neumann QD in the magnetic field. Comparison with electrostatic harmonic confinement is performed. Physical interpretation is based on the different roles of the two BCs and their interplay with the field: Dirichlet (Neumann) surface is a repulsive (attractive) interface.

Related papers

• Cylindrically confined $H$ atom in magnetic field: variational cut-off factor [0.0]
  We consider the hydrogen atom confined within an impenetrable infinite cylindrical cavity of radius $rho_0$ in the presence of a constant magnetic field. In the Born-Oppenheimer approximation, anchoring the nucleus to the geometric center of the cylinder, a physically meaningful 3-parametric trial function is used to determine the ground state energy.
  arXiv  Detail & Related papers  (2025-01-24T07:38:29Z)
• Hamiltonians for Quantum Systems with Contact Interactions [49.1574468325115]
  We show that in the limit one obtains the one-body Hamiltonian for the light particle subject to $N$ (non-local) point interactions placed at fixed positions. We will verify that such non-local point interactions do not exhibit the ultraviolet pathologies that are present in the case of standard local point interactions.
  arXiv  Detail & Related papers  (2024-07-09T14:04:11Z)
• Dirac fermions with electric dipole moment and position-dependent mass in the presence of a magnetic field generated by magnetic monopoles [0.0]
  We determine the bound-state solutions for Dirac fermions with electric dipole moment (EDM) and position-dependent mass (PDM) in the presence of a radial magnetic field generated by magnetic monopoles.
  arXiv  Detail & Related papers  (2024-05-25T16:49:01Z)
• Waveguide quantum electrodynamics at the onset of spin-spin correlations [36.136619420474766]
  We find that molecules belonging to one of the two crystal sublattices form one-dimensional spin chains. The microwave transmission shows evidences for the collective coupling of quasi-identical spins to the propagating photons.
  arXiv  Detail & Related papers  (2024-04-04T18:00:05Z)
• Small-time controllability for the nonlinear Schr\"odinger equation on $\mathbb{R}^N$ via bilinear electromagnetic fields [55.2480439325792]
  We address the small-time controllability problem for a nonlinear Schr"odinger equation (NLS) on $mathbbRN$ in the presence of magnetic and electric external fields. In detail, we study when it is possible to control the dynamics of (NLS) as fast as desired via sufficiently large control signals.
  arXiv  Detail & Related papers  (2023-07-28T21:30:44Z)
• Quantum phase transitions in non-Hermitian $\mathcal{P}\mathcal{T}$-symmetric transverse-field Ising spin chains [0.0]
  We present a theoretical study of quantum phases and quantum phase transitions occurring in non-Hermitian $mathcalPmathcalT$-symmetric superconducting qubits chains. A non-Hermitian part of the Hamiltonian is implemented via imaginary staggered textitlongitudinal magnetic field. We obtain two quantum phases for $J0$, namely, $mathcalPmathcalT$-symmetry broken antiferromagnetic state and $mathcalPmathcalT$-symmetry preserved paramagnetic state
  arXiv  Detail & Related papers  (2022-11-01T18:10:12Z)
• On parametric resonance in the laser action [91.3755431537592]
  We consider the selfconsistent semiclassical Maxwell--Schr"odinger system for the solid state laser. We introduce the corresponding Poincar'e map $P$ and consider the differential $DP(Y0)$ at suitable stationary state $Y0$.
  arXiv  Detail & Related papers  (2022-08-22T09:43:57Z)
• Spin-zero bound states on the 2D Klein-Gordon equation under uniform magnetic field [0.0]
  We present an interaction modeling for the relativistic spin-0 charged particles moving in a uniform magnetic field. As a functional approach to the nuclear interaction, we consider particle bound states without antiparticle regime. Putting the approximation to spin-zero motion with $V(r)$$neq$$0$ and $S(r)$$=$$0$, one can introduced solvable model in the 2D polar space.
  arXiv  Detail & Related papers  (2022-08-09T13:28:23Z)
• Quantum information measures of the Dirichlet and Neumann hyperspherical dots [0.0]
  $mathttd$-dimensional hyperspherical quantum dot with either Dirichlet or Neumann boundary conditions (BCs) This paves the way to an efficient computation in either space of Shannon, R'enyi and Tsallis entropies, Onicescu energies and Fisher informations.
  arXiv  Detail & Related papers  (2021-03-24T11:08:31Z)
• Hyperfine and quadrupole interactions for Dy isotopes in DyPc$_2$ molecules [77.57930329012771]
  Nuclear spin levels play an important role in understanding magnetization dynamics and implementation and control of quantum bits in lanthanide-based single-molecule magnets. We investigate the hyperfine and nuclear quadrupole interactions for $161$Dy and $163$Dy nucleus in anionic DyPc$.
  arXiv  Detail & Related papers  (2020-02-12T18:25:31Z)
• Anisotropy-mediated reentrant localization [62.997667081978825]
  We consider a 2d dipolar system, $d=2$, with the generalized dipole-dipole interaction $sim r-a$, and the power $a$ controlled experimentally in trapped-ion or Rydberg-atom systems. We show that the spatially homogeneous tilt $beta$ of the dipoles giving rise to the anisotropic dipole exchange leads to the non-trivial reentrant localization beyond the locator expansion.
  arXiv  Detail & Related papers  (2020-01-31T19:00:01Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.