Relationship between dwell, transmission and reflection tunnelling times

Goto, Mario; Iwamoto, Hiroaki; Aquino, V. M.; Aguilera‐Navarro, V. C.; Kobe, Donald H.

doi:10.1088/0305-4470/37/11/005

Cited by 27 publications

(23 citation statements)

References 31 publications

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“…Though static measurement of transmission cannot yield the position of the reflector, the dwell time of waves incident from one side of the sample, τ D,l , allows determining the location of the reflector. The dwell time τ D,l corresponds to the energy excited inside the medium by the wave incident from left side of the sample [30,31]. This energy varies with the position of the reflector, as can be seen in Fig.…”

Section: B Position Of the Reflectormentioning

confidence: 99%

Characterizing random 1D media with an embedded reflector via scattered waves

Huang,

Ma,

Genack

et al. 2021

Preprint

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We show in random matrix theory, microwave measurements, and computer simulations that the mean free path of a random medium and the strength and position of an embedded reflector can be determined from radiation scattered by the system. The mean free path and strength of the reflector are determined from the statistics of transmission. The statistics of transmission are independent of the position of the reflector. The reflector's position can be found, however, from the average dwell time for waves incident from one side of the sample.

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Section: B Position Of the Reflectormentioning

confidence: 99%

Characterizing random 1D media with an embedded reflector via scattered waves

Huang,

Ma,

Genack

et al. 2021

Preprint

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“…However, one can also define transmission and reflection dwell times for the particular cases when the particle, after dwelling in a region, escaped either by transmission or reflection. The flux j in these cases would get replaced by the transmitted or reflected fluxes, j T = k 0 |T | 2 /M and j R = k 0 |R| 2 /M [31] respectively. One would then obtain [31],…”

Section: Dissipative Tunnelingmentioning

confidence: 99%

“…The flux j in these cases would get replaced by the transmitted or reflected fluxes, j T = k 0 |T | 2 /M and j R = k 0 |R| 2 /M [31] respectively. One would then obtain [31],…”

Section: Dissipative Tunnelingmentioning

confidence: 99%

Electron interaction with the environment in tunnel ionization

Lozano-Gómez

Kelkar

2020

Annals of Physics

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The average dwell time of an electron in a potential barrier formed by an external electric field and the potential of a helium atom is evaluated within a semi classical one-dimensional tunneling approach. The tunneling electron is considered to interact with a nuclear charge screened by the electron in the helium ion. It is found that screening leads to smaller average dwell times of the tunneling electron. The dissipative effect of the environment on the tunneling electron is taken into account within a semiclassical model involving a velocity dependent frictional force and is found to change the average dwell time significantly. * Electronic address: dlozanogomez@uwaterloo.ca † Electronic address: nkelkar@uniandes.edu.co

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“…A relationship between dwell, transmission, and reflection times has recently been analysed in paper [36] while in paper [37] a relation between the group delay and the dwell time for quantum tunnelling is derived. It is shown that the group delay is equal to the dwell time plus self-interference delay which depends on the dispersion outside the barrier.…”

Section: Dwell Timementioning

confidence: 99%

Time problem in quantum mechanics and its analysis by the concept of weak measurements

Ruseckas¹,

Kaulakys²

2004

Lith. J. Phys.

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The model of weak measurements is applied to various problems, related to the time problem in quantum mechanics. The review and generalization of the theoretical analysis of the time problem in quantum mechanics based on the concept of weak measurements are presented. A question of the time interval the system spends in the specified state, when the final state of the system is given, is raised. Using the concept of weak measurements the expression for such time is obtained. The results are applied to the tunnelling problem. A procedure for the calculation of the asymptotic tunnelling and reflection times is proposed. Examples for δ-form and rectangular barrier illustrate the obtained results. Using the concept of weak measurements the arrival time probability distribution is defined by analogy with the classical mechanics. The proposed procedure is suitable to the free particles and to particles subjected to an external potential, as well. It is shown that such an approach imposes an inherent limitation to the accuracy of the arrival time definition.

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Relationship between dwell, transmission and reflection tunnelling times

Cited by 27 publications

References 31 publications

Characterizing random 1D media with an embedded reflector via scattered waves

Characterizing random 1D media with an embedded reflector via scattered waves

Electron interaction with the environment in tunnel ionization

Time problem in quantum mechanics and its analysis by the concept of weak measurements

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