Anomalous pulse delay in microwave propagation: A plausible connection to the tunneling time

Ranfagni, A.; Fabeni, P.; Pazzi, G.P.; Mugnai, D.

doi:10.1103/physreve.48.1453

Cited by 166 publications

(96 citation statements)

References 17 publications

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“…Other experiments confirming the superluminality of tunneling have been performed in Cologne, Florence, and Vienna [14,15,16]. The Cologne and Florence groups performed microwave experiments, and the Vienna group performed a femtosecond laser experiment.…”

Section: Details Of the Berkeley Experimentsmentioning

confidence: 99%

Tunneling times and superluminality: a tutorial

Chiao¹

1999

Mysteries, Puzzles, and Paradoxes in Quantum Mechanics

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Experiments have shown that individual photons penetrate an optical tunnel barrier with an effective group velocity considerably greater than the vacuum speed of light. The experiments were conducted with a two-photon parametric down-conversion light source, which produced correlated, but random, emissions of photon pairs. The two photons of a given pair were emitted in slightly different directions so that one photon passed through the tunnel barrier, while the other photon passed through the vacuum. The time delay for the tunneling photon relative to its twin was measured by adjusting the path length difference between the two photons in a Hong-Ou-Mandel interferometer, in order to achieve coincidence detection. We found that the photon transit time through the barrier was smaller than the twin photon's transit time through an equal distance in vacuum, indicating that the process of tunneling in quantum mechanics is superluminal. Various conflicting theories of tunneling times are compared with experiment.

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Section: Details Of the Berkeley Experimentsmentioning

confidence: 99%

Tunneling times and superluminality: a tutorial

Chiao¹

1999

Mysteries, Puzzles, and Paradoxes in Quantum Mechanics

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“…Such a generalization of Special Relativity is based on a "deformation" of the Minkowski space, namely a space-time endowed with a metric whose coefficients depend on the energy of the investigated processes. More precisely, the analysis of the Cologne experiment [4] (superluminal sub-cutoff propagation in waveguide), and of the Florence one [5] (superluminal propagation in air), carried out by means of the DSR formalism, brought about upper threshold values both in energy and in space for the electromagnetic breakdown of LLI. These values are E 0 = 4.5 µV and l 0 = 9 cm [3,6] respectively.…”

Section: Introductionmentioning

confidence: 99%

The Shadow of Light: Lorentz Invariance and Complementarity Principle in Anomalous Photon Behavior

Cardone

Mignani

Perconti

et al. 2006

Int. J. Mod. Phys. B

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We review the results of two double-slit-like experiments in the infrared range, which evidence an anomalous behaviour of photon systems under particular (energy and space) constraints. These outcomes (independently confirmed by crossing photon beam experiments in both the optical and the microwave range) apparently rule out the Copenhagen interpretation of the quantum wave, i.e. the probability wave, by admitting an interpretation in terms of the Einstein-de Broglie-Bohm hollow wave for photons. Moreover, these experiments support the interpretation of the hollow wave as a deformation of the Minkowski space-time geometry. We stress the implications of these experimental results and of their interpretation for the concept of action-at-a-distance, Einstein's relativistic correlation and Bohr's principle of complementarity.

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“…Thus looking back, it was not so surprising that the actual discussion on "superluminal " speed started almost at the same time with the series of microwaves experiments by transmission through systems consisting of undersized waveguides [7,8,25,26,27,28,29]. Steinberg et al [9] found "superluminal" velocities for electromagnetic waves in the photonic band gap of multilayer dielectric mirrors.…”

Section: E Phase Time and Superluminal Velocity In Periodic Nanostrucmentioning

confidence: 99%

“…Indeed, in most of the past tunneling experiments, instead of electrons, electromagnetic waves were used [8,25], to exclude any electronic interaction with the tunneling barrier. The analogy between the time independent forms of the Schrödinger and the Maxwell equations confronts us again with Hartman's case: the possibility of achieving extremely high tunneling velocities, even superluminal velocities.…”

Section: E Phase Time and Superluminal Velocity In Periodic Nanostrucmentioning

confidence: 99%

“…The question of the time spent by a particle in a given region of space is not new and has recently attracted a great deal of interest [4,5,6,7,8,9,10,11,12,13,14,15,16]. The problem has been approached from many different points of view, and there exists a huge literature on the tunneling problem of electrons through a barrier, although tunneling times have continued to be controversial even until now.…”

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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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Anomalous pulse delay in microwave propagation: A plausible connection to the tunneling time

Cited by 166 publications

References 17 publications

Tunneling times and superluminality: a tutorial

Tunneling times and superluminality: a tutorial

The Shadow of Light: Lorentz Invariance and Complementarity Principle in Anomalous Photon Behavior

Tunneling time in nanostructures

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