Tunneling times: a critical review

Hauge, E. H.; Støvneng, Jon Andreas

doi:10.1103/revmodphys.61.917

Cited by 1,060 publications

(804 citation statements)

References 43 publications

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“…The universality of 'phase time' distributions in random and chaotic systems has already been established earlier [17]. In the case of 'not too opaque' barriers, the tunneling time evaluated either as a simple 'phase time' [5] or calculated through the analysis of the wave packet behaviour [18] becomes independent of the barrier width. This phenomenon is termed as the Hartman effect [13,18,19].…”

Section: Introductionmentioning

confidence: 84%

“…Since the velocity of the 'peak' may exceed arbitrarily large numbers, this 'fast tunneling' has been frequently related to 'superluminal propagation' [20]. The 'Hartman effect' has been extensively studied both for nonrelativistic (Schrödinger equation) and relativistic (Dirac equation) [4,5,20] cases. Recently Winful [21] showed that the saturation of phase time is a direct consequence of saturation of integrated probability density under the barrier.…”

Section: Introductionmentioning

confidence: 99%

“…In 1932 MacColl [3] pointed out that tunneling is not only characterized by a tunneling probability but also by a time the tunneling particle takes to traverse the barrier. There is considerable interest on the question of time spent by a particle in a given region of space [4,5,6]. 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.…”

Section: Introductionmentioning

confidence: 99%

“…Büttiker and Landauer proposed [11] that one should study 'tunneling time' using the transmission coefficient through a static barrier of interest, supplemented by a small oscillatory perturbation. A large number of researchers interpret the phase delay time [5,12,13] as the temporal delay of a transmitted wave packet. This time is usually taken as the difference between the time at which the peak of the transmit-ted packet leaves the barrier and the time at which the peak of the incident Gaussian wave packet arrives at the barrier.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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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Section: Introductionmentioning

confidence: 84%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Hartman effect and nonlocality in quantum networks

Bandopadhyay

Jayannavar

2005

Physics Letters A

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“…A recent review [22] discusses resonant tunneling, tunneling of composite particles and how the coupling to intrinsic and external degrees of freedom can affect the tunneling probabilities. There exist extensive reviews [23][24][25] on the subject and one often finds contradictory remarks regarding the physical interpretation of some of the times. Ref.…”

Section: Tunneling Times and The Assault Frequency In Alpha Decaymentioning

confidence: 99%

Signature of theN= 126 shell closure in dwell times of alpha-particle tunneling

Kelkar

Nowakowski

2016

J. Phys. G: Nucl. Part. Phys.

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Characteristic quantities such as the penetration and preformation probabilities, assault frequency and tunneling times in the tunneling description of alpha decay of heavy nuclei are explored to reveal their sensitivity to neutron numbers in the vicinity of the magic neutron number N = 126. Using realistic nuclear potentials, the sensitivity of these quantities to the parameters of the theoretical approach is also tested. An investigation of the region from N = 116 to N = 132 in Po nuclei reveals that the tunneling α particle spends the least amount of time with an N = 126 magic daughter nucleus. The shell closure at N = 126 seems to affect the behaviour of the dwell times of the tunneling alpha particles and this occurs through the influence of the Q-values involved.

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An atom optics experiment to investigate faster-than-light tunneling

et al. 1998

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We describe a series of atom optics experiments underway a t T oronto for investigating tunnelling interaction times of various sorts. We begin by discussing some outstanding issues and confusions related to the question of whether or not superluminal tunnelling can be construed as true faster-than-light \signal propagation," a question which w e answer in the negative. We then argue that atom optics is an arena ideally suited for addressing a variety of remaining questions about how, where, and for how long a particle interacts with a tunnel barrier. We present recent results on a modied \delta-kick cooling" scheme which w e h a ve used to prepare Rubidium atoms with one-dimensional de Broglie wavelengths on the order of an optical wavelength, along with simulations showing that from these temperatures, we will be able to use acousto-optically modulated dipole-force barriers to velocity-select ultracold atom samples ideal for future tunnelling experiments.

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Tunneling times: a critical review

Cited by 1,060 publications

References 43 publications

Hartman effect and nonlocality in quantum networks

Hartman effect and nonlocality in quantum networks

Signature of theN= 126 shell closure in dwell times of alpha-particle tunneling

An atom optics experiment to investigate faster-than-light tunneling

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