Wigner wave packets: Transmission, reflection, and tunneling

Jensen, Kevin L.; Lebowitz, Joel L.; Riga, Jeanne; Shiffler, D.; Seviour, Rebecca

doi:10.1103/physrevb.103.155427

Cited by 10 publications

(4 citation statements)

References 121 publications

(209 reference statements)

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“…Since its invention, due to its relatively easy fabrication, the RTD has been the prototypical tunneling device where new physical phenomena are predicted and experimentally explored [87][88][89][90][91]. We consider the double barrier static potential V e (x) = V e (x, t) of Fig.…”

Section: Resultsmentioning

confidence: 99%

THz displacement current in tunneling devices with coherent electron-photon interaction

Villani¹,

Destefani²,

Cartoixà³

et al. 2022

Preprint

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For frequencies comparable to the inverse of the electron transit time, the measured total current in electron devices needs to include not only the particle but also the displacement current. Typically, in most quantum transport simulators, the displacement current is ignored, or simply computed from Gauss' law involving only the longitudinal (zero rotational) electric field. In this work, the role of the transverse (zero divergence) electromagnetic field in the evaluation of the displacement current in resonant tunneling diodes is analyzed within either classical or quantum models of such fields. In the quantum case, the peaks of the original transmission coefficient, without interaction with photons, split into two new peaks due to the resonant electron-photon interaction leading to Rabi oscillations. Such phenomenon, that mimics known effects predicted by a Jaynes-Cummings model in closed systems, exemplifies how a full quantum treatment of electrons and electromagnetic fields opens unexplored paths for engineering new THz electron devices. The computational burden involved in the multi-time measurements of THz currents is minimized by invoking a Bohmian description of the lightmatter interaction. As an additional result, we show that the traditional transmission coefficient used to characterize DC quantum electron devices has to be substituted by a new displacement current coefficient in high frequency AC scenarios.

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Section: Resultsmentioning

confidence: 99%

THz displacement current in tunneling devices with coherent electron-photon interaction

Villani¹,

Destefani²,

Cartoixà³

et al. 2022

Preprint

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show abstract

“…In this paper, we have used simple, analytical examples to demonstrate the correspondence between quantum mechanics and electromagnetism with the intent of establishing a framework for the verification and vali-dation of our previously developed atomistic emission models 18,[24][25][26][27] . Beginning with the frequency-dependent EM S-parameters which can either be calculated using HFSS or obtained through laboratory measurement, the frequency-dependent refractive index vector of a wire array medium was calculated.…”

Section: Discussionmentioning

confidence: 99%

“…For the finite barriers, the probability density in either side of the well was studied for different center barrier heights, Fermi levels, and temperatures. The methodology was then extended to treat barriers and systems more relevant to field emission, which must be solved numerically because an analytical solution does not exist 25 . The infinite boundaries were replaced by open boundaries, and the transmission and reflection characteristics of a wavepacket incident on Gaussian and parabolic barriers was simulated, along with the delay time associated with barrier interactions, where the solution was found numerically using finite difference methods.…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic analogs of quantum mechanical tunneling

Riga

Seviour

2022

Journal of Applied Physics

Self Cite

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In this paper, we introduce the theoretical framework underlying our proposed methodology of verification and validation (V&V) for quantum mechanical emission models using analogous macroscopic electromagnetic systems. We derive the correspondence between quantum mechanics and electromagnetism using the transfer matrix approach and describe the electromagnetic analog that will be used to anchor the atomistic quantum tunneling simulations. Finally, we illustrate this correspondence by comparing the quantum mechanical and electromagnetic systems for some simple, analytically soluble examples and outline future V&V work based on the framework presented here.

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“…In follow-up work to [186], Jensen et al developed a novel numerical solution to the time evolution equation of the Wigner distribution function [187]. A particular focus was to correctly capture the intricate dynamics of an impinging wave packet (electron) on a barrier (focus on Gaussian and parabolic), exhibiting transmission and reflection behavior, i.e., transmission and reflection delay times.…”

Section: Waveguides and Electron Dynamicsmentioning

confidence: 99%

Computational perspective on recent advances in quantum electronics: from electron quantum optics to nanoelectronic devices and systems

Weinbub

Kosik

2022

J. Phys.: Condens. Matter

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Quantum electronics has significantly evolved over the last decades. Where initially the clear focus was on light-matter interactions, nowadays approaches based on the electron's wave nature have solidified themselves as additional focus areas. This development is largely driven by continuous advances in electron quantum optics, electron based quantum information processing, electronic materials, and nanoelectronic devices and systems. The pace of research in all of these areas is astonishing and is accompanied by substantial theoretical and experimental advancements. What is particularly exciting is the fact that the computational methods, together with broadly available large-scale computing resources, have matured to such a degree so as to be essential enabling technologies themselves. These methods allow to predict, analyze, and design not only individual physical processes but also entire devices and systems, which would otherwise be very challenging or sometimes even out of reach with conventional experimental capabilities. This review is thus a testament to the increasingly towering importance of computational methods for advancing the expanding field of quantum electronics. To that end, computational aspects of a representative selection of recent research in quantum electronics are highlighted where a major focus is on the electron's wave nature. By categorizing the research into concrete technological applications, researchers and engineers will be able to use this review as a source for inspiration regarding problem-specific computational methods.

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Wigner wave packets: Transmission, reflection, and tunneling

Cited by 10 publications

References 121 publications

THz displacement current in tunneling devices with coherent electron-photon interaction

THz displacement current in tunneling devices with coherent electron-photon interaction

Electromagnetic analogs of quantum mechanical tunneling

Computational perspective on recent advances in quantum electronics: from electron quantum optics to nanoelectronic devices and systems

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