The transient response of a quantum wave to an instantaneous potential step switching

Delgado, Fernando; Cruz, H.; Muga, J. G.

doi:10.1088/0305-4470/35/48/311

Cited by 15 publications

(12 citation statements)

References 22 publications

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“…Brouard and Muga studied this problem paying attention to the ''tunneling'' configuration in which the carrier energy is below the barrier top, E 0 < V 0 [60]. They used a complex momentum plane approach associated with asymptotic expansions which has been applied later to different transient phenomena [199,63,64,32,200,36,65,201,202]. The aim of the approach is to describe the wave propagation with a minimum of elements and maximal efficiency.…”

Section: Transients For a Square Barriermentioning

confidence: 99%

Quantum transients

2009

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Quantum transients are temporary features of matter waves before they reach a stationary regime. Transients may arise after the preparation of an unstable initial state or due to a sudden interaction or a change in the boundary conditions. Examples are diffraction in time, buildup processes, decay, trapping, forerunners or pulse formation, as well as other phenomena recently discovered, such as the simultaneous arrival of a wave peak at arbitrarily distant observers. The interest on these transients is nowadays enhanced by new technological possibilities to control, manipulate and measure matter waves.Comment: review article, 76 pp, 36 figures, more content, typos correcte

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Section: Transients For a Square Barriermentioning

confidence: 99%

Quantum transients

2009

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“…It may be perhaps surprising that no accurate and detailed account of these basic transition processes exist at this elementary level. 17 One of the advantages of this method is that it is not based on a temporal grid. A vicious circle is established since, to fix the time-dependent boundary conditions, the solution at the box edge is needed.…”

Section: Introductionmentioning

confidence: 99%

Resonant tunneling transients and decay for a one-dimensional double barrier potential

Delgado

Muga

Austing

et al. 2004

Journal of Applied Physics

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Erratum: "Resonant tunneling transients and decay for a one-dimensional double barrier structure" [J. Appl. Phys.97, 013705 (2005)] J. Appl. Phys. 99, 089901 (2006); 10.1063/1.2175355 Observation of resonant tunneling through a quantized state in InP quantum dots in a double-barrier heterostructure Appl.Motivated by recent experimental work on quantum dots subjected to voltage pulses we consider a simple model to study the transition between off-resonance and on-resonance scattering states with the same incident energy in response to a sudden change in the well depth of a double barrier potential structure. The change displaces the real part of the resonance energy to coincide with the incident energy. The resonance buildup is not given by a pure exponential growth due to the interference between incident and resonance components represented by nearby poles, but the resonance lifetime is a relevant time scale. The reverse process (resonance depletion) that follows the opposite change in the well depth detunes the resonance level and the incident energy but, except for short and long time deviations, the decay is exponential with the lifetime of the displaced resonance. For a larger change in the well depth beyond a critical depth, trapping dominates rather than decay since the resonance becomes a bound state.

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“…These temporal oscillations are a pure quantum phenomenon, and similar oscillations arise at the moment of closing and opening gates in nanoscopic circuits [3]. With adequate potentials added to the model, it has been used to study transient dynamics of tunneling matter waves [4]- [7], and the transient responses to abrupt changes of the interaction potential in semiconductor structures and quantum dots [8] [9]. For a review on the subject see [10] [11].…”

Section: Introductionmentioning

confidence: 99%

A Basis for Causal Scattering Waves, Relativistic Diffraction in Time Functions

Godoy¹,

Villa²

2016

JMP

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Relativistic diffraction in time wave functions can be used as a basis for causal scattering waves. We derive such exact wave function for a beam of Dirac and Klein-Gordon particles. The transient Dirac spinors are expressed in terms of integral defined functions which are the relativistic equivalent of the Fresnel integrals. When plotted versus time the exact relativistic densities show transient oscillations which resemble a diffraction pattern. The Dirac and Klein-Gordon time oscillations look different, hence relativistic diffraction in time depends strongly on the particle spin.

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The transient response of a quantum wave to an instantaneous potential step switching

Cited by 15 publications

References 22 publications

Quantum transients

Quantum transients

Resonant tunneling transients and decay for a one-dimensional double barrier potential

A Basis for Causal Scattering Waves, Relativistic Diffraction in Time Functions

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