Resonant tunneling dynamics and the related tunneling time

Xiao, Zhi; Huang, Hai; Lu, Xiangxiang

doi:10.1142/s0217979215500526

Cited by 12 publications

(19 citation statements)

References 46 publications

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“…In contrast to the incident plane-wave source case, where the Fabry-Perot resonance peaks occur at a maximum of T max = 1 38,57 , the transmission peaks observed here are suppressed, i.e, T max < 1 , reducing the contrast of the resonance peaks. A previous theoretical investigation observed this behaviour for the resonance of a noninteracting CW atom laser beam 23 .…”

Section: Analysis Of Resonant Transmissioncontrasting

confidence: 63%

“…1 e, f. In contrast to the ideal optical Fabry-Perot interferometer, the atomic system displays changes in the FSR and as the wave number of the incoming particles changes. To analyse the characteristics of a matter-wave Fabry–Perot interferometer, we use a previously developed analytical model 38 . This model assumes a plane wave of non-interacting particles, with energy E , transmitting through two symmetric rectangular barriers of width w , height , and separation distance d (see Fig.…”

Section: Fabry–perot Interferometrymentioning

confidence: 99%

“…This paper investigates the properties of an atomic Fabry–Perot interferometer in an experimentally-realisable parameter regime 36 , 37 . We use a simple analytic model 38 for rectangular barrier potentials to study the dependence of cavity finesse and transmission coefficient on barrier width, barrier height, cavity length, initial momentum of the atoms, and the momentum width of the atomic cloud. This allows us to identify a parameter regime where high contrast, narrow peaks are observable in the transmission spectrum.…”

Section: Introductionmentioning

confidence: 99%

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An atomic Fabry–Perot interferometer using a pulsed interacting Bose–Einstein condensate

Manju

Hardman

Wigley

et al. 2020

Sci Rep

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We numerically demonstrate atomic Fabry–Perot resonances for a pulsed interacting Bose–Einstein condensate (BEC) source transmitting through double Gaussian barriers. These resonances are observable for an experimentally-feasible parameter choice, which we determined using a previously-developed analytical model for a plane matter-wave incident on a double rectangular barrier system. Through numerical simulations using the non-polynomial Schödinger equation—an effective one-dimensional Gross–Pitaevskii equation—we investigate the effect of atom number, scattering length, and BEC momentum width on the resonant transmission peaks. For $$^{85}$$ 85 Rb atomic sources with the current experimentally-achievable momentum width of $$0.02 \hbar k_0$$ 0.02 ħ k 0 [$$k_0 = 2\pi /(780~\text {nm})$$ k 0 = 2 π / ( 780 nm ) ], we show that reasonably high contrast Fabry–Perot resonant transmission peaks can be observed using (a) non-interacting BECs, (b) interacting BECs of $$5 \times 10^4$$ 5 × 10 4 atoms with s-wave scattering lengths $$a_s=\pm 0.1a_0$$ a s = ± 0.1 a 0 ($$a_0$$ a 0 is the Bohr radius), and (c) interacting BECs of $$10^3$$ 10 3 atoms with $$a_s=\pm 1.0a_0$$ a s = ± 1.0 a 0 . Our theoretical investigation impacts any future experimental realization of an atomic Fabry–Perot interferometer with an ultracold atomic source.

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Section: Analysis Of Resonant Transmissioncontrasting

confidence: 63%

Section: Fabry–perot Interferometrymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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An atomic Fabry–Perot interferometer using a pulsed interacting Bose–Einstein condensate

Manju

Hardman

Wigley

et al. 2020

Sci Rep

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“…The highest absorption value obtained in the asymmetric reflective FP3 filter is due to the fact that the incident light inside the cavity is reflected a greater number of times which allows to graphene a higher number of multiple absorptions. The number of reflections is in fact related to the Fabry–Perot finesse which is defined by [ 68 , 88 , 89 , 90 ]:

…”

Section: Resultsmentioning

confidence: 99%

Towards Perfect Absorption of Single Layer CVD Graphene in an Optical Resonant Cavity: Challenges and Experimental Achievements

et al. 2022

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Graphene is emerging as a promising material for the integration in the most common Si platform, capable to convey some of its unique properties to fabricate novel photonic and optoelectronic devices. For many real functions and devices however, graphene absorption is too low and must be enhanced. Among strategies, the use of an optical resonant cavity was recently proposed, and graphene absorption enhancement was demonstrated, both, by theoretical and experimental studies. This paper summarizes our recent progress in graphene absorption enhancement by means of Si/SiO2-based Fabry–Perot filters fabricated by radiofrequency sputtering. Simulations and experimental achievements carried out during more than two years of investigations are reported here, detailing the technical expedients that were necessary to increase the single layer CVD graphene absorption first to 39% and then up to 84%. Graphene absorption increased when an asymmetric Fabry–Perot filter was applied rather than a symmetric one, and a further absorption increase was obtained when graphene was embedded in a reflective rather than a transmissive Fabry–Perot filter. Moreover, the effect of the incident angle of the electromagnetic radiation and of the polarization of the light was investigated in the case of the optimized reflective Fabry–Perot filter. Experimental challenges and precautions to avoid evaporation or sputtering induced damage on the graphene layers are described as well, disclosing some experimental procedures that may help other researchers to embed graphene inside PVD grown materials with minimal alterations.

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“…This is the relativistic counterpart of ordinary quantum-mechanical resonant transmission. 4 For a specific resonance number n, the resonant energy difference between states with opposite helicity is δE Res (n) ≡ E Res (n, +1) − E Res (n, −1) = 2b. For a specific barrier height V 0 and energy E of the incoming electron, the resonant barrier length is L(n, s) = nπ √ (E−V0−bs) 2 −m 2 .…”

Section: The Impact Of the LV B µ Term On Dirac Tunnelingmentioning

confidence: 99%

The Impact of Lorentz Violation on the Klein Tunneling Effect

Xiao¹

2017

CPT and Lorentz Symmetry

Self Cite

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We discuss the impact of a tiny Lorentz-violating b µ term on the one dimensional motion of a Dirac particle scattering on a rectangular barrier. We assume the experiment is performed in a particular inertial frame, where the components of b µ are assumed constants. The results show that Lorentz-violation modification to the transmission rate depends on the observer Lorentz nature of b µ . For a spacelike or lightlike b µ the induced resonant frequency shift depends on the polarization, while for timelike b µ there is essentially no modification.

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Resonant tunneling dynamics and the related tunneling time

Cited by 12 publications

References 46 publications

An atomic Fabry–Perot interferometer using a pulsed interacting Bose–Einstein condensate

An atomic Fabry–Perot interferometer using a pulsed interacting Bose–Einstein condensate

Towards Perfect Absorption of Single Layer CVD Graphene in an Optical Resonant Cavity: Challenges and Experimental Achievements

The Impact of Lorentz Violation on the Klein Tunneling Effect

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