Optical and electronic properties of a two-dimensional quantum ring under rotating effects

• URL: http://arxiv.org/abs/2305.16448v1
• Date: Thu, 25 May 2023 19:49:17 GMT
• Title: Optical and electronic properties of a two-dimensional quantum ring under rotating effects
• Authors: Daniel F. Lima, Frankbelson dos S. Azevedo, Lu\'is Fernando C. Pereira, Cleverson Filgueiras, Edilberto O. Silva
• Abstract summary: This work presents a study on the nonrelativistic quantum motion of a charged particle in a rotating frame. We derive the equation of motion and the corresponding radial equation to describe the system.
• Score: 1.6439662732340548
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: This work presents a study on the nonrelativistic quantum motion of a charged particle in a rotating frame, considering the Aharonov-Bohm effect and a uniform magnetic field. We derive the equation of motion and the corresponding radial equation to describe the system. The Schr\"odinger equation with minimal coupling incorporates rotation effects by substituting the momentum operator with an effective four-potential. Additionally, a radial potential term, dependent on the average radius of the ring, is introduced. The analysis is restricted to motion in a two-dimensional plane, neglecting the degree of freedom in the $z$-direction. By solving the radial equation, we determine the eigenvalues and eigenfunctions, allowing for an explicit expression of the energy. The probability distribution is analyzed for varying rotating parameter values, revealing a shift of the distribution as the rotation changes, resulting in a centrifugal effect and occupation of the ring's edges. Furthermore, numerical analysis demonstrates the significant rotational effects on energy levels and optical properties, including optical absorption and refractive coefficients.

Related papers

• Effects of rotation on the thermodynamic properties of a quantum dot [0.05120567378386613]
  In this work, we investigate the effects of rotation on the physical properties of a quantum dot described by a radial potential and subjected to a rotating reference frame. The interplay between rotation and confinement is analyzed by solving the Schr"odinger equation for the system. We compute key thermodynamic properties, including the density of states, magnetization, entropy, and heat capacity, in the absence of an external magnetic field.
  arXiv  Detail & Related papers  (2025-02-04T20:36:21Z)
• Dynamics and Spectral Response of linear-quadratic optomechanical interaction: Effects of pure dephasing [55.2480439325792]
  The decoherence dynamics and spectral response of an optomechanical system is addressed. The decoherence considered arises from pure dephasing, described by the Milburn evolution of the Schr"odinger equation. Results and discussion comparing the inclusions of the linear, quadratic, and linear-quadratic couplings are given.
  arXiv  Detail & Related papers  (2025-01-24T17:13:09Z)
• Decoupling of External and Internal Dynamics in Driven Two-level Systems [49.96265870315999]
  We show how a laser driven two-level system can be decoupled into a set of equations acting only on the external degrees of freedom for each state. We give a way of characterizing the solvability of this family of problems by appealing to a classical oscillator with time-dependent damping. We show that chirping of the driving fields phase emerges naturally as a means of compensating the Ehrenfest/mean-value part of the detuning operator's dynamics.
  arXiv  Detail & Related papers  (2024-06-03T16:42:28Z)
• Rotating effects on the photoionization cross-section of a 2D quantum ring [2.137799621276386]
  We investigate the nonrelativistic quantum motion of a charged particle within a rotating frame. We take into account the Aharonov-Bohm (AB) effect and a uniform magnetic field. Our numerical analysis highlights the substantial influence of rotation on both energy levels and optical properties.
  arXiv  Detail & Related papers  (2024-01-25T17:31:38Z)
• Interaction of quantum systems with single pulses of quantized radiation [68.8204255655161]
  We describe the interaction of a propagating pulse of quantum radiation with a localized quantum system. By transformation to an appropriate picture, we identify the usual Jaynes-Cummings Hamiltonian between the scatterer and a superposition of the initial and final mode. The transformed master equation offers important insights into the system dynamics and it permits numerically efficient solutions.
  arXiv  Detail & Related papers  (2022-03-14T20:23:23Z)
• Effects of rotation and Coulomb type potential on the spin-1/2 Aharonov-Bohm problem [0.0]
  We investigate how both rotation and a Coulomb potential affect the quantum mechanical description of a spin-$1/2$ particle in the presence of the Aharonov-Bohm effect. We discuss the role of the spin degree of freedom on this problem, find the energy spectrum, and investigate the results in detail.
  arXiv  Detail & Related papers  (2021-12-26T21:45:25Z)
• Dispersive readout of molecular spin qudits [68.8204255655161]
  We study the physics of a magnetic molecule described by a "giant" spin with multiple $d > 2$ spin states. We derive an expression for the output modes in the dispersive regime of operation. We find that the measurement of the cavity transmission allows to uniquely determine the spin state of the qudits.
  arXiv  Detail & Related papers  (2021-09-29T18:00:09Z)
• Interaction of the magnetic quadrupole moment of a non-relativistic particle with an electric field in the background of screw dislocations with a rotating frame [0.0]
  We consider a moving particle with a magnetic quadrupole moment in an elastic medium in the presence of a screw dislocation. We derive wave and energy eigenvalue functions by employing analytical methods for two interaction configurations. Due to the topological defect in the medium, we observed a shift in the angular momentum quantum number which affects the energy eigenvalues and the wave function of the system.
  arXiv  Detail & Related papers  (2021-06-08T20:20:30Z)
• 2D Relativistic Oscillators with a Uniform Magnetic Field in Anti-deSitter Space [0.0]
  We study the two dimensional deformed bosonic oscillator equations for charged particles (both spin 0 and spin 1 particles) We consider the presence of a minimal uncertainty in momentum caused by the Anti-deSitter model. The exact energy eigenvalues and the corresponding wave functions are analytically obtained for both Klein-Gordon and scalar Duffin-Kemmer-Petiau cases.
  arXiv  Detail & Related papers  (2021-02-23T14:33:03Z)
• Light-matter interactions near photonic Weyl points [68.8204255655161]
  Weyl photons appear when two three-dimensional photonic bands with linear dispersion are degenerated at a single momentum point, labeled as Weyl point. We analyze the dynamics of a single quantum emitter coupled to a Weyl photonic bath as a function of its detuning with respect to the Weyl point.
  arXiv  Detail & Related papers  (2020-12-23T18:51:13Z)
• New approach to describe two coupled spins in a variable magnetic field [55.41644538483948]
  We describe the evolution of two spins coupled by hyperfine interaction in an external time-dependent magnetic field. We modify the time-dependent Schr"odinger equation through a change of representation. The solution is highly simplified when an adiabatically varying magnetic field perturbs the system.
  arXiv  Detail & Related papers  (2020-11-23T17:29:31Z)

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.