Three Faces of the Aharonov-Bohm Phase

• URL: http://arxiv.org/abs/2010.12010v1
• Date: Wed, 21 Oct 2020 13:34:38 GMT
• Title: Three Faces of the Aharonov-Bohm Phase
• Authors: Patrick Das Gupta
• Abstract summary: The Aharonov-Bohm (AB) phase that makes its entry in the above bizarre effect is also deployed to derive the observed magnetic flux quantisation in superconductors. The Dirac result implies that the existence of a single magnetic monopole anywhere in the universe would entail quantisation of the product of a particle's electric charge and the monopole's magnetic charge.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Beginning with the basic notions of quantum theory, impossibility of `trajectory' description for particles that ensues from uncertainty principle is discussed. Why the observed tracks in bubble/cloud chambers are not really the `trajectories' of high energy particles, rather they are simply the trails of the atoms/molecules excited or ionized in the direction of the high momenta of the incoming particles, are highlighted. Thereafter, the notion of symmetry and its application to the non-relativistic Schrodinger equation have been delineated. The demand for U(1) gauge invariance and the resulting `gauge miracle', that automatically leads to the correct interaction terms describing the electromagnetic force between the charge particles and the field, have been elaborated upon. A simple treatment, but with explicit derivation, of the Aharonov-Bohm effect, is presented, that underlines a strange phenomena - sites, impenetrable by charge particles but are threaded with magnetic field lines, conspire with a `Trojan Horse', namely the magnetic vector potential outside, to cause measurable shift in the double-slit interference fringes. This shift in the interference pattern is non-classical since the charge particles move in field-free regions. The crucial Aharonov-Bohm (AB) phase that makes its entry in the above bizarre effect is also deployed to derive the observed magnetic flux quantisation in superconductors as well as the Dirac result which implies that the existence of a single magnetic monopole anywhere in the universe would entail quantisation of the product of a particle's electric charge and the monopole's magnetic charge. Nontrivial consequences of AB phase follow whenever the physical region accessible, from the point of view of the wavefunction of a charge particle, is multiply-connected.

Related papers

• 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)
• Quantum electrodynamics of lossy magnetodielectric samples in vacuum: modified Langevin noise formalism [55.2480439325792]
  We analytically derive the modified Langevin noise formalism from the established canonical quantization of the electromagnetic field in macroscopic media. We prove that each of the two field parts can be expressed in term of particular bosonic operators, which in turn diagonalize the electromagnetic Hamiltonian.
  arXiv  Detail & Related papers  (2024-04-07T14:37:04Z)
• The strongly driven Fermi polaron [49.81410781350196]
  Quasiparticles are emergent excitations of matter that underlie much of our understanding of quantum many-body systems. We take advantage of the clean setting of homogeneous quantum gases and fast radio-frequency control to manipulate Fermi polarons. We measure the decay rate and the quasiparticle residue of the driven polaron from the Rabi oscillations between the two internal states.
  arXiv  Detail & Related papers  (2023-08-10T17:59:51Z)
• Electrodynamic Aharonov-Bohm effect [0.0]
  We propose an electrodynamic Aharonov-Bohm scheme where a nonzero AB phase difference appears even if the interferometer paths do not enclose a magnetic flux. In the proposal, the current in a solenoid outside the interferometer varies in time while the quantum particle is in a superposition state inside two Faraday cages.
  arXiv  Detail & Related papers  (2023-02-28T13:07:24Z)
• Aharonov-Bohm effect in phase space [0.0]
  We characterize for the first time the Aharonov-Bohm effect within two different formalisms of quantum mechanics. The aim is to obtain a consistent description of the quantum system by means of the quasiprobability Wigner function. We study the Aharonov-Bohm effect within them for two specific cases: One determined by a non-zero electric potential, and another determined by a non-zero magnetic vector potential.
  arXiv  Detail & Related papers  (2022-11-23T18:38:58Z)
• Revealing inherent quantum interference and entanglement of a Dirac particle [13.68785696051536]
  Zitterbewegung of Dirac particles is underlain by a more fundamental and universal interference behavior without classical analogs. We reveal such an interference pattern in phase space, which underlies but goes beyond Zitterbewegung. Besides being of fundamental importance, the demonstrated nonclassical effects are useful in quantum technology.
  arXiv  Detail & Related papers  (2022-11-23T08:49:22Z)
• Gauge invariance of the local phase in the Aharonov-Bohm interference: quantum electrodynamic approach [0.0]
  In the Aharonov-Bohm (AB) effect, interference fringes are observed for a charged particle in the absence of the local overlap with the external electromagnetic field. This notion of the apparent nonlocality of the interaction or the significant role of the potential has recently been challenged and are under debate. The quantum electrodynamic approach provides a microscopic picture of the characteristics of the interaction between a charge and an external field.
  arXiv  Detail & Related papers  (2022-06-17T08:31:51Z)
• Spin-1/2 particles under the influence of a uniform magnetic field in the interior Schwarzschild solution [62.997667081978825]
  relativistic wave equation for spin-1/2 particles in the interior Schwarzschild solution in the presence of a uniform magnetic field is obtained. Results are relevant to the physics of the interior of neutron stars, where both the gravitational and the magnetic fields are very intense.
  arXiv  Detail & Related papers  (2021-11-30T14:46:00Z)
• 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)
• Observation-dependent suppression and enhancement of two-photon coincidences by tailored losses [68.8204255655161]
  Hong-Ou-Mandel (HOM) effect can lead to a perfect suppression of two-particle coincidences between the output ports of a balanced beam splitter. In this work, we demonstrate experimentally that the two-particle coincidence statistics of two bosons can instead be seamlessly tuned to substantial enhancement. Our findings reveal a new approach to harnessing non-Hermitian settings for the manipulation of multi-particle quantum states.
  arXiv  Detail & Related papers  (2021-05-12T06:47:35Z)
• Enhanced decoherence for a neutral particle sliding on a metallic surface in vacuum [68.8204255655161]
  We show that non-contact friction enhances the decoherence of the moving atom. We suggest that measuring decoherence times through velocity dependence of coherences could indirectly demonstrate the existence of quantum friction.
  arXiv  Detail & Related papers  (2020-11-06T17:34:35Z)

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.