Unveiling the Quantum Toroidal Dipole in Nanosystems: Quantization, Interaction Energy, and Measurement

• URL: http://arxiv.org/abs/2401.15128v1
• Date: Fri, 26 Jan 2024 13:31:32 GMT
• Title: Unveiling the Quantum Toroidal Dipole in Nanosystems: Quantization, Interaction Energy, and Measurement
• Authors: Mircea Dolineanu, Alexandru-Lucian Nastasia, and Dragos-Victor Anghel
• Abstract summary: We investigate a quantum particle confined to a toroidal surface in the presence of a filiform current along the system's rotational axis. Our analysis reveals that the interaction between the particle and the current induces a non-zero toroidal dipole in the particle's stationary states.
• Score: 44.99833362998488
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We investigate the physical properties of a charged quantum particle confined to a toroidal surface in the presence of a filiform current along the system's rotational axis. Our analysis reveals that the interaction between the particle and the current induces a non-zero toroidal dipole in the particle's stationary states. We demonstrate that the differences between the toroidal dipole projections for different energy levels can be quantized in units of $\hbar R/(4m_p)$ (where $R$ is the major radius of the torus and $m_p$ is the particle mass), suggesting the existence of toroidal dipole quanta. Furthermore, we find that both the toroidal dipole projection and the energy eigenvalues exhibit periodic behavior with respect to the current intensity, with a period that depends solely on the torus's aspect ratio $R/r$, where r is the minor radius. This periodicity opens up the possibility of using the current intensity to manipulate and measure the toroidal dipole projection. We also observe abrupt changes in the toroidal dipole projection and energy eigenvalues around integer multiples of the current half-period. These changes provide further evidence for the quantization of the toroidal dipole in such systems. The interaction energy between the particle and the current follows the classical electrodynamics form, suggesting a potential method for measuring and manipulating the toroidal dipole projection along the current axis. The quantization rules we have identified represent hallmarks of the quantum toroidal dipole in nanosystems and could lead to the development of novel devices based on this fundamental property.

Related papers

• Direct derivation of the modified Langevin noise formalism from the canonical quantization of macroscopic electromagnetism [51.56484100374058]
  We derive the exact analytical expressions for the polariton operators in terms of the canonical CQME field operators.<n>We provide a direct and rigorous derivation of the Langevin noise formalism from the canonical theory in the Schrdinger picture.
  arXiv  Detail & Related papers  (2026-03-04T17:53:31Z)
• Light-induced Magnetization by Quantum Geometry [0.0]
  We propose a mechanism for the inverse Faraday and the inverse Cotton--Mouton effects arising from quantum geometry.<n>Within a semiclassical framework based on the Boltzmann transport theory, we establish a general formalism describing light-induced magnetization in electronic systems.
  arXiv  Detail & Related papers  (2026-01-14T17:13:08Z)
• Quantum Metrology of Spin Sensing with Free Space Electrons [0.0]
  Recent advances in transmission electron microscopy have opened the path toward spin resonance spectroscopy with single-spin sensitivity.<n>We study two metrological tasks: estimating the magnitude of the magnetic moment and discriminating the presence of a spin.<n>We find that conventional TEM imaging can saturate the quantum bound when backaction of the probe electron onto the spin state is negligible.
  arXiv  Detail & Related papers  (2025-09-18T14:12:56Z)
• Waveguides in a quantum perspective [45.88028371034407]
  Solid state quantum devices, operated at dilution cryostat temperatures, are relying on microwave signals to drive and read-out their quantum states.<n>Here we report on the quantum theory that describes the simplest Cartesian-type geometries: parallel plates, and rectangular tubes.
  arXiv  Detail & Related papers  (2025-05-20T12:42:07Z)
• Missing Aharonov-Casher geometric quantum phase [0.0]
  We show that a geometric quantum phase stems from the missing electric charge per unit length. We discuss the possibility of existing Aharonov-Bohm-type effects with regard to this geometric quantum phase.
  arXiv  Detail & Related papers  (2025-02-25T14:26:39Z)
• Quantum optical scattering by macroscopic lossy objects: A general approach [55.2480439325792]
  We develop a general approach to describe the scattering of quantum light by a lossy macroscopic object placed in vacuum.<n>We exploit the input-output relation to connect the output state of the field to the input one.<n>We analyze the impact of the classical transmission and absorption dyadics on the transitions from ingoing to outgoing s-polariton.
  arXiv  Detail & Related papers  (2024-11-27T17:44:29Z)
• Aharonov-Bohm Scattering From Knots [0.0]
  The Aharonov-Bohm effect is perhaps the first example in which the the interplay between classical topology and quantum theory was explored. Several attempts were made to generalize the Aharonov-Bohm effect by modifying the simple solenoidal current distribution.
  arXiv  Detail & Related papers  (2024-05-29T10:13:53Z)
• Thermal masses and trapped-ion quantum spin models: a self-consistent approach to Yukawa-type interactions in the $λ\!φ^4$ model [44.99833362998488]
  A quantum simulation of magnetism in trapped-ion systems makes use of the crystal vibrations to mediate pairwise interactions between spins. These interactions can be accounted for by a long-wavelength relativistic theory, where the phonons are described by a coarse-grained Klein-Gordon field. We show that thermal effects, which can be controlled by laser cooling, can unveil this flow through the appearance of thermal masses in interacting QFTs.
  arXiv  Detail & Related papers  (2023-05-10T12:59:07Z)
• Non-relativistic quantum particles interacting with pseudoharmonic-type potential under flux field in a topological defect geometry [0.0]
  We investigate the quantum motions of non-relativistic particles interacting with a potential in the presence of the Aharonov-Bohm flux field. Our findings reveal that the eigenvalue solutions are significantly influenced by the topological defect characterized by the parameter $beta$. This influence manifests as a shift in the energy spectrum, drawing parallels to the gravitational analog of the Aharonov-Bohm effect.
  arXiv  Detail & Related papers  (2023-02-01T17:45:02Z)
• Toroidal optical transitions in hydrogen-like atoms [0.0]
  We show that interactions between light and matter also involve toroidal multipoles. We show that toroidal transitions are odd under parity and time-reversal symmetries.
  arXiv  Detail & Related papers  (2022-05-03T10:55:25Z)
• The self-adjoint toroidal dipole operator in nanostructures [0.0]
  We analyze a quantum particle in a system with cylindrical symmetry, which is a typical system in which toroidal moments appear. While the toroidal dipole is hermitian, it is not self-adjoint, but in the new set of coordinates the operator $hatT_3$ splits into two components, one of which is physically significant and represents an observable.
  arXiv  Detail & Related papers  (2022-02-24T02:23:29Z)
• Self-oscillating pump in a topological dissipative atom-cavity system [55.41644538483948]
  We report on an emergent mechanism for pumping in a quantum gas coupled to an optical resonator. Due to dissipation, the cavity field evolves between its two quadratures, each corresponding to a different centrosymmetric crystal configuration. This self-oscillation results in a time-periodic potential analogous to that describing the transport of electrons in topological tight-binding models.
  arXiv  Detail & Related papers  (2021-12-21T19:57:30Z)
• Chiral Cavity Quantum Electrodynamics [0.0]
  We explore for the first time cavity quantum electrodynamics of a transmon qubit in the topological vacuum of a Harper-Hofstadter topological lattice. We spectroscopically resolve the individual bulk and edge modes of this lattice, detect vacuum-stimulated Rabi oscillations between the excited transmon and each mode, and thereby measure the synthetic-vacuum-induced Lamb shift of the transmon.
  arXiv  Detail & Related papers  (2021-09-09T22:26:36Z)
• Controlled coherent dynamics of [VO(TPP)], a prototype molecular nuclear qudit with an electronic ancilla [50.002949299918136]
  We show that [VO(TPP)] (vanadyl tetraphenylporphyrinate) is a promising system suitable to implement quantum computation algorithms. It embeds an electronic spin 1/2 coupled through hyperfine interaction to a nuclear spin 7/2, both characterized by remarkable coherence.
  arXiv  Detail & Related papers  (2021-03-15T21:38:41Z)
• Quantum coherent spin-electric control in a molecular nanomagnet at clock transitions [57.50861918173065]
  Electrical control of spins at the nanoscale offers architectural advantages in spintronics. Recent demonstrations of electric-field (E-field) sensitivities in molecular spin materials are tantalising. E-field sensitivities reported so far are rather weak, prompting the question of how to design molecules with stronger spin-electric couplings.
  arXiv  Detail & Related papers  (2020-05-03T09:27:31Z)
• Generalized spin-orbit interaction in two-dimensional electron systems [0.0]
  Dirac quantum field theory describes electrons and positrons as elementary excitations of the spinor field. The dependence of the spin-orbit interaction on the spin states in quasi-two-dimensional systems of electrons localized in a quantum well is analyzed.
  arXiv  Detail & Related papers  (2020-03-23T07:18:52Z)
• Zitterbewegung and Klein-tunneling phenomena for transient quantum waves [77.34726150561087]
  We show that the Zitterbewegung effect manifests itself as a series of quantum beats of the particle density in the long-time limit. We also find a time-domain where the particle density of the point source is governed by the propagation of a main wavefront. The relative positions of these wavefronts are used to investigate the time-delay of quantum waves in the Klein-tunneling regime.
  arXiv  Detail & Related papers  (2020-03-09T21:27:02Z)
• Spin current generation and control in carbon nanotubes by combining rotation and magnetic field [78.72753218464803]
  We study the quantum dynamics of ballistic electrons in rotating carbon nanotubes in the presence of a uniform magnetic field. By suitably combining the applied magnetic field intensity and rotation speed, one can tune one of the currents to zero while keeping the other one finite, giving rise to a spin current generator.
  arXiv  Detail & Related papers  (2020-01-20T08:54:56Z)
• Quantum decoherence by Coulomb interaction [58.720142291102135]
  We present an experimental study of the Coulomb-induced decoherence of free electrons in a superposition state in a biprism electron interferometer close to a semiconducting and metallic surface. The results will enable the determination and minimization of specific decoherence channels in the design of novel quantum instruments.
  arXiv  Detail & Related papers  (2020-01-17T04:11:44Z)

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.