The quantum mechanical tunnelling time problem-revisited

Collins, Stephen P.; Lowe, David; Barker, John R.

doi:10.1088/0022-3719/20/36/021

Cited by 140 publications

(64 citation statements)

References 22 publications

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“…Recently Landsman [9] showed that these time approximations are in disagreement with the experimental finding of KASE, and that the FPI with a coarse graining procedure fits well with the KASE measurement data. Collins's most critical point [49], which addresses the question: how long does it take for an electron to tunnel through a barrier, was the conclusion that the scattering time, defined through the inverse of the transition probability matrix, is not related to the dynamical trans- [49]. A similar point of view was considered by Fock and Krylov [51], in regards to the lifetime and TEUR, see discussion by Aharonov [52].…”

Section: B Many Different Approachesmentioning

confidence: 92%

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How to understand the tunneling in attosecond experiment?

Kullie

2018

Annals of Physics

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The measurement of the tunneling time (T-time) in today's attosecond and strong field (low-frequency) experiments, despite its controversial discussion, offers a fruitful opportunity to understand time measurement and the time in quantum mechanics. In addition, as we will see in this work, a related controversial issue is the particulate nature of the radiation. Different models used to calculate the T-time will be discussed in this work in relation to my model of real T-time, Phys. Rev. 92, 052118 (2015), where an intriguing similarity to the Bohr-Einstein photon box Gedanken experiment was found. The tunneling process itself is still not well understood, but I am arguing that a scattering mechanism (by the laser wave packet) offers a possibility to understand the tunneling process in the tunneling region. This is related to the question about the corpuscular nature of light which is widely discussed in modern quantum optics experiments.Keywords: Attosecond physics, tunneling time and time measurement in attosecond experiments, timeenergy uncertainty relation, time and time-operator in quantum mechanics, Bohr-Einstein's photon box Gedanken experiment, multiphoton processing, Compton scattering, wave-particle duality. I. INTRODUCTIONThere is no doubt that the advent of 'attophysics' opens new perspectives in the study of time resolved phenomena in atomic and molecular physics [1][2][3][4][5] A similar controversial issue to the time issue (and the T-time and TEUR) is the wave-matter duality and the partic-

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Section: B Many Different Approachesmentioning

confidence: 92%

“…However, following Collins [49] this is not justified. Recently Landsman [9] showed that these time approximations are in disagreement with the experimental finding of KASE, and that the FPI with a coarse graining procedure fits well with the KASE measurement data.…”

Section: B Many Different Approachesmentioning

confidence: 99%

How to understand the tunneling in attosecond experiment?

Kullie

2018

Annals of Physics

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“…The discussion goes on in spite of the theoretical investigation by Collins et al: The quantum mechanical tunneling time problem-revisited. Their rigorous investigation concluded that the early quantum mechanical calculation by Hartman and the phase time approach present the correct description of tunneling time [7]. Experimental studies have confirmed this statement [15][16][17].…”

Section: Introductionmentioning

confidence: 97%

“…This symmetrical design of the beam path in Fig. 2 allows a direct measurement of the time a signal spends crossing the gap d. 18] Theoretical investigations resulted in zero time spent inside an opaque barrier [2][3][4][5][6][7]. Opaque means that the exponent of the wave function or of the evanescent mode is given by κx ≥ 1, where κ = ik is given by the pure imaginary wave number k inside the barrier and x is the barrier length.…”

Section: Introductionmentioning

confidence: 99%

Erratum to: On Virtual Phonons, Photons, and Electrons

Nimtz

2010

Found Phys

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A macroscopic realization of the peculiar virtual particles is presented. The classical Helmholtz and the Schrödinger equations are differential equations of the same mathematical structure. The solutions with an imaginary wave number are called evanescent modes in the case of elastic and electromagnetic fields. In the case of non-relativistic quantum mechanical fields they are called tunneling solutions. The imaginary wave numbers point to strange consequences: The waves are non-local, they are not observable, and they are described as virtual particles. During the last two decades QED calculations of the solutions with an imaginary wave number have been experimentally confirmed for phonons, photons, and electrons. The experimental proofs of the predictions of non-relativistic quantum mechanics and the Wigner phase time approach for the elastic, electromagnetic and Schrödinger fields will be presented in this article. The results are zero time in the barrier and an interaction time (i.e. a phase shift) at the barrier interfaces. The measured tunneling time scalesThe online version of the original article can be found under doi:10.1007/s10701-009-9356-z.G. Nimtz ( ) II. Physikalisches Institut, Universität zu Köln, Zülpicherstrasse 77, 50937 Köln, Germany e-mail: G. Nimtz@uni-koeln.de 1222 Found Phys (2010) 40: 1221-1230 approximately inversely with the particle energy. Actually, the tunneling time is given only by the barrier boundary interaction time, as zero time is spent inside a barrier.

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“…The recent development of nanotechnology brought new urgency to study the tunneling time as it is directly related to the maximum attainable speed of nanoscale electronic devices. In a number of numerical [7], experimental [8,9] and analytical study of quantum tunneling processes, various definitions of tunneling times have been investigated. These different time scales are based on various different operational definitions and physical interpretations.…”

Section: Introductionmentioning

confidence: 99%

Hartman effect and nonlocality in quantum networks

Bandopadhyay

Jayannavar

2005

Physics Letters A

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We study the phase time for various quantum mechanical networks having potential barriers in its arms to find the generic presence of Hartman effect. In such systems it is possible to control the 'super arrival' time in one of the arms by changing parameters on another, spatially separated from it. This is yet another quantum nonlocal effect. Negative time delays (time advancement) and 'ultra Hartman effect' with negative saturation times have been observed in some parameter regimes.

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The quantum mechanical tunnelling time problem-revisited

Cited by 140 publications

References 22 publications

How to understand the tunneling in attosecond experiment?

How to understand the tunneling in attosecond experiment?

Erratum to: On Virtual Phonons, Photons, and Electrons

Hartman effect and nonlocality in quantum networks

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