Role of quantum vortices in atomic scattering from single adsorbates

Sanz, Ángel S.; Borondo, F.; Miret‐Artés, Salvador

doi:10.1103/physrevb.69.115413

Cited by 54 publications

(51 citation statements)

References 16 publications

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“…Consequently, if the curl of ∇S is nonzero, its circulation will be quantized. This is precisely what we observe in the case of Bohmian trajectories that whirl around a node of the wave function [20][21][22][23], where the quantization is in terms of integer multiples of 2π . Of course, this also holds for the polarization trajectories that we are dealing with here, since…”

Section: Equilibrium Pointssupporting

confidence: 76%

“…Or, in topological terms, it accounts for the number of jumps between different equivalent points of the Riemann surface described by the logarithm of the wave function. In all cases examined in this work, the trajectories around the zeros will be nearly circular in a neighborhood of the node, giving rise to a vortical dynamics [20][21][22][23][24]. It is worth noting that in quantum mechanics, it was Dirac who first noticed this effect [28], suggesting the existence of magnetic monopoles.…”

Section: Equilibrium Pointsmentioning

confidence: 97%

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Nonclassical polarization dynamics in classical-like states

Luis

Sanz

2015

Phys. Rev. A

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Quantum polarization is investigated by means of a trajectory picture based on the Bohmian formulation of quantum mechanics. Relevant examples of classical-like two-mode field states are thus examined, namely, Glauber and SU(2) coherent states. Although these states are often regarded as classical, the analysis here shows that the corresponding electric-field polarization trajectories display topologies very different from those expected from classical electrodynamics. Rather than incompatibility with the usual classical model, this result demonstrates the dynamical richness of quantum motions, determined by local variations of the system quantum phase in the corresponding (polarization) configuration space, absent in classical-like models. These variations can be related to the evolution in time of the phase, but also to its dependence on configurational coordinates, which is the crucial factor to generate motion in the case of stationary states like those considered here. In this regard, for completeness these results are compared with those obtained from nonclassical NOON states.

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Section: Equilibrium Pointssupporting

confidence: 76%

Section: Equilibrium Pointsmentioning

confidence: 97%

Nonclassical polarization dynamics in classical-like states

Luis

Sanz

2015

Phys. Rev. A

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“…In this field various aspects have been analyzed since 2000 in order to determine the relationship between surface diffraction and classical rainbow features [202][203][204], the role of vortical dynamics in adsorption process [204][205][206], or the dynamical origin of selective adsorption resonances below the onset of classical chaos [196]. Differently with respect to the diffraction by localized targets, the presence of an extended object provides very interesting results from a dynamical or, more precisely, hydrodynamical point of view.…”

Section: Elastic Collisionsmentioning

confidence: 99%

“…If one observes the dynamical behavior of the wave packet as it approaches the surface from a Bohmian viewpoint, there is an also interesting perpendicular effect: the trajectories starting in positions located around the rearmost parts of the initial wave function never reach physically the surface, but bounce backwards at a certain distance from it [196,[204][205][206]. On the contrary, the trajectories with initial positions closer to the surface are pushed against the surface and obliged to move parallel to it until the wave starts getting diffracted and abandons the surface.…”

Section: Elastic Collisionsmentioning

confidence: 99%

Applied Bohmian Mechanics

Oriols¹,

Mompart²

2012

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Abstract. Bohmian mechanics provides an explanation of quantum phenomena in terms of point-like particles guided by wave functions. This review focuses on the use of nonrelativistic Bohmian mechanics to address practical problems, rather than on its interpretation. Although the Bohmian and standard quantum theories have different formalisms, both give exactly the same predictions for all phenomena. Fifteen years ago, the quantum chemistry community began to study the practical usefulness of Bohmian mechanics. Since then, the scientific community has mainly applied it to study the (unitary) evolution of single-particle wave functions, either by developing efficient quantum trajectory algorithms or by providing a trajectorybased explanation of complicated quantum phenomena. Here we present a large list of examples showing how the Bohmian formalism provides a useful solution in different forefront research fields for this kind of problems (where the Bohmian and the quantum hydrodynamic formalisms coincide). In addition, this work also emphasizes that the Bohmian formalism can be a useful tool in other types of (nonunitary and nonlinear) quantum problems where the influence of the environment or the nonsimulated degrees of freedom are relevant. This review contains also examples on the use of the Bohmian formalism for the many-body problem, decoherence and measurement processes. The ability of the Bohmian formalism to analyze this last type of problems for (open) quantum systems remains mainly unexplored by the scientific community. The authors of this review are convinced that the final status of the Bohmian theory among the scientific community will be greatly influenced by its potential success in those types of problems that present nonunitary and/or nonlinear quantum evolutions. A brief introduction of the Bohmian formalism and some of its extensions are presented in the last part of this review.

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“…A full characterization of the different dynamical regimes that can be observed in diffraction of rare gases by metal surfaces at low incident energies, namely the gradual transition from the Fresnel to the Fraunhofer diffraction, has already been reported by means of this technique [15,16], as well as the effects of increasingly more massive probes [17] or turbulence (vortical dynamics) arising under presence of impurities on the surface [18,19]. Similar quantitative analyses of grating diffraction of low energy electrons, neutrons, or fullerenes have also been reported in the literature [16,20], finding interesting analogies between the behavior displayed by the diffracted system and manifestations found in other different physical contexts, such as the relationship between the formation of Talbot carpets and wave-guiding or Bloch-like periodic invariance [21].…”

Section: Introductionmentioning

confidence: 99%

A novel quantum dynamical approach in electron microscopy combining wave-packet propagation with Bohmian trajectories

Rudinsky

Sanz

Gauvin

2017

The Journal of Chemical Physics

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The numerical analysis of the diffraction features rendered by transmission electron microscopy (TEM) typically relies either on classical approximations (Monte Carlo simulations) or quantum paraxial tomography (the multislice method and any of its variants). Although numerically advantageous (relatively simple implementations and low computational costs), they involve important approximations and thus their range of applicability is limited. To overcome such limitations, an alternative, more general approach is proposed, based on an optimal combination of wave-packet propagation with the on-the-fly computation of associated Bohmian trajectories. For the sake of clarity, but without loss of generality, the approach is used to analyze the diffraction of an electron beam by a thin aluminum slab as a function of three different incidence (work) conditions which are of interest in electron microscopy: the probe width, the tilting angle, and the beam energy. Specifically, it is shown that, because there is a dependence on particular thresholds of the beam energy, this approach provides a clear description of the diffraction process at any energy, revealing at the same time any diversion of the beam inside the material towards directions that cannot be accounted for by other conventional methods, which is of much interest when dealing with relatively low energies and/or relatively large tilting angles.

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Role of quantum vortices in atomic scattering from single adsorbates

Cited by 54 publications

References 16 publications

Nonclassical polarization dynamics in classical-like states

Nonclassical polarization dynamics in classical-like states

Applied Bohmian Mechanics

A novel quantum dynamical approach in electron microscopy combining wave-packet propagation with Bohmian trajectories

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