Transmission and reflection tunneling times

Muga, J. G.; Brouard, S.; Sala, R.

doi:10.1016/0375-9601(92)90620-2

Cited by 80 publications

(39 citation statements)

References 15 publications

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“…20 could correspond to an observable (assumingÂ andB Hermitian and g real). Note that other operator orderings have also been studied in certain contexts [22]. Through an analogous calculation we can obtain an expression for the imaginary part of the weak value of the operatorÂB by calculating the first nonzero term in the expectation value of the operator O xpy ≡ |f f |XP y under the same interaction Hamiltonian from Eq.…”

mentioning

confidence: 98%

Extracting Joint Weak Values with Local, Single-Particle Measurements

2004

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Weak measurement is a new technique which allows one to describe the evolution of postselected quantum systems. It appears to be useful for resolving a variety of thorny quantum paradoxes, particularly when used to study properties of pairs of particles. Unfortunately, such nonlocal or joint observables often prove difficult to measure weakly in practice (for instance, in optics -a common testing ground for this technique -strong photon-photon interactions would be needed). Here we derive a general, experimentally feasible, method for extracting these values from correlations between single-particle observables.

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confidence: 98%

Extracting Joint Weak Values with Local, Single-Particle Measurements

2004

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“…Another approach is based on the determination of a set of dynamic paths, i. e. the calculation of the time the different paths spend in the barrier and averaging over the set of the paths. The paths can be found from the Feynman path integral formalism [38], from the Bohm approach [40][41][42][43][44][45], or from the Wigner distribution [46]. The third class uses a physical clock which is used for determination of the time elapsed during the tunnelling (Büttiker and Landauer used an oscillatory barrier [39], Baz' suggested the Larmor time [47]).…”

Section: Tunnelling 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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“…Jensen and Buot [83] used it to calculate the time for stationary waves, and Muga et el. [84] for wavepackets.…”

Section: Complex Timementioning

confidence: 99%

Tunneling time in nanostructures

Gasparian

Ortuño

Schön³

et al. 2000

Handbook of Nanostructured Materials and Nanotechnology

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We review existing approaches to the problem of tunneling time, focussing on the Larmor clock approach. We develop a Green's function formalism and with it we are able to obtain close expressions for the tunneling and for the reflection times. A strong analogy between the results of the different approaches is established, and we show that their main differences are due to finite size effects. Furthermore we study the dwell time, and check that it can be exactly written as an average of one of the components of the traversal and the reflection times.We apply the results to a rectangular barrier, a periodic system and resonant tunneling, and we analyze the dependence of the tunneling time with the size of the wavepacket.We also discuss the recharging time in chemical nanostructures like ligand stabilized microclusters. We show that for nanoparticles with very small tunneling resistance RT ≤ 10 5 Ω it becomes to the same order of magnitude with tunneling time. CONTENTS

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Transmission and reflection tunneling times

Cited by 80 publications

References 15 publications

Extracting Joint Weak Values with Local, Single-Particle Measurements

Extracting Joint Weak Values with Local, Single-Particle Measurements

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

Tunneling time in nanostructures

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