Quantized vortices around wavefunction nodes. II

Hirschfelder, Joseph O.; Goebel, C.; Bruch, L. W.

doi:10.1063/1.1681900

Cited by 149 publications

(107 citation statements)

References 6 publications

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“…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: 99%

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 Pointsmentioning

confidence: 99%

Nonclassical polarization dynamics in classical-like states

Luis

Sanz

2015

Phys. Rev. A

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“…(12). Accordingly, these lines would follow the flow described by the quantum (probabilistic) fluid which describes the system.…”

Section: A Brief Account On Bohmian Mechanicsmentioning

confidence: 99%

“…These ideas underwent a rebirth in the 1970s through the works of BialynickiBirula [9,10] and Hirschfelder [11][12][13][14]. Within this hydrodynamical framework, treating the probability density as a quantum fluid, the chemical reactivity of collinear reactions was formerly studied by the end of the 1960s and beginning of the 1970s by McCullough and Wyatt [15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Investigating transition state resonances in the time domain by means of Bohmian mechanics: The F+HD reaction

Sanz¹,

López‐Durán²,

González‐Lezana³

2012

Chemical Physics

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In this work, we investigate the existence of transition state resonances on atom-diatom reactive collisions from a timedependent perspective, stressing the role of quantum trajectories as a tool to analyze this phenomenon. As it is shown, when one focusses on the quantum probability current density, new dynamical information about the reactive process can be extracted. In order to detect the effects of the different rotational populations and their dynamics/coherences, we have considered a reduced two-dimensional dynamics obtained from the evolution of a full three-dimensional quantum time-dependent wave packet associated with a particular angle. This reduction procedure provides us with information about the entanglement between the radial degrees of freedom (r, R) and the angular one (γ), which can be considered as describing an environment. The combined approach here proposed has been applied to study the F+HD reaction, for which the FH+D product channel exhibits a resonance-mediated dynamics.

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“…To examine vortices in general, it is useful to turn to the hydrodynamical representation of the wave function [12], ͑r,t͒ = ͱ ͑r,t͒e i ͑r,t͒/ប ,…”

Section: Vortices In Superpositions Of Plane Wavesmentioning

confidence: 99%

“…Hirschfelder and collaborators, for example, examined vortex creation around wave-function holes for plane-wave scattering from 2-D potentials such as partially and totally reflecting walls [11,12]. In the present paper, the fundamental mechanism for generating what we call interference vortices (also known as optical vortices [13]) is examined using two simple geometries.…”

Section: Introductionmentioning

confidence: 99%

Manifestations of vortices during ultracold-atom propagation through waveguides

Bromley

Esry

2004

Phys. Rev. A

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The possibility of generating vortices during matter-wave propagation through microstructures is examined. Vortices can arise solely due to wave interference in low-density ultracold atom clouds, and do not require any atom-atom (nonlinear) interactions. The properties of these "interference vortices" are understood from a simple two-mode model in a straight waveguide. This model is then applied to vortex creation in a circular bend since a circular waveguide bend is one of the simplest atom optical elements that can induce mode excitations. Time-independent and time-dependent analyses are used to investigate vortex creation and dynamics in these systems.

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Quantized vortices around wavefunction nodes. II

Cited by 149 publications

References 6 publications

Nonclassical polarization dynamics in classical-like states

Nonclassical polarization dynamics in classical-like states

Investigating transition state resonances in the time domain by means of Bohmian mechanics: The F+HD reaction

Manifestations of vortices during ultracold-atom propagation through waveguides

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