Measurement of the neutron interaction time with quantum objects

Frank, A. I.; Bondarenko, I. V.; Vasil'ev, V. V.; Anderson, I. S.; Ehlers, Georg; Høghøj, Peter

doi:10.1134/1.1503321

Cited by 13 publications

(12 citation statements)

References 14 publications

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“…(6), is a general resonance condition, and it can be used for finding the value of any one of the parameters , , L, and U at the resonance, once the values of all the other parameters are known. For instance, in the experimental paper [2], the values of , L and U were known, and it was measured the "resonance value" of the neutron energy; in such a case, eq. (5) allows us calculating the value of the effective neutron mass and using it, then, for the evaluation of the tunneling phase-time.…”

Section: The Resonant Tunneling Case: Conditionsmentioning

confidence: 99%

“…The neutrons in ref. [2] tunneled through two equal rectangular barriers with width a and height of about 230 neV, separated by a potential well with width 195 (and almost zero value of the potential). For such a set-up, a single resonance level exists, with energy 127 neV and halfwidth 4 neV.…”

Section: Brief Comparison With the Experimental Data On Resonant Neutmentioning

confidence: 99%

“…In refs. [2][3][4] it was shown that, however, for a sufficiently large region of magnetic field and for quasi-monochromatic neutrons, the Larmor-time coincides with the phase-time.…”

Section: Introductionmentioning

confidence: 99%

“…[2], where experimental data on the time spent by cold neutrons when tunneling through a so-called neutron interference filter have been presented. The structure of the filter used therein consists in two rectangular barriers separated by a rectangular potential well; and the directly measured quantity has been the precession-phase shift for neutrons during their interaction with the neutronfilter.…”

Section: Introductionmentioning

confidence: 99%

“…On the basis of their measurements, the authors of ref. [2] have actually obtained the tunneling Larmor time for neutrons in the region of the relevant resonance, corresponding to a quasi-bound state of the neutrons in the potential well between the barriers. In refs.…”

Section: Introductionmentioning

confidence: 99%

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Resonant and non-resonant tunneling through a double barrier

2005

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An explicit expression is obtained for the phase-time corresponding to tunneling of a (non-relativistic) particle through two rectangular barriers, both in the case of resonant and in the case of non-resonant tunneling. It is shown that the behavior of the transmission coefficient and of the tunneling phase-time near a resonance is given by expressions with"Breit-Wigner type" denominators. By contrast, it is shown that, when the tunneling probability is low (but not negligible), the non-resonant tunneling time depends on the barrier width and on the distance between the barriers only in a very weak (exponentially decreasing) way: This can imply in various cases, as well-known, the highly Superluminal tunneling associated with the so-called "generalized Hartman Effect"; but we are now able to improve and modify the mathematical description of such an effect, and to compare more in detail our results with the experimental data for non-resonant tunneling of photons. Finally, as a second example, the tunneling phase-time is calculated, and compared with the available experimental results, in the case of the quantum-mechanical tunneling of neutrons through two barrier-filters at the resonance energy of the set-up.

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Section: The Resonant Tunneling Case: Conditionsmentioning

confidence: 99%

Section: Brief Comparison With the Experimental Data On Resonant Neutmentioning

confidence: 99%

“…In refs. [2][3][4] it was shown that, however, for a sufficiently large region of magnetic field and for quasi-monochromatic neutrons, the Larmor-time coincides with the phase-time.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Resonant and non-resonant tunneling through a double barrier

2005

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The manifestation of one-dimensional noncollinear spin-dependent scattering on magnetized nano-element structures

2013

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Stationary phase method and delay times for relativistic and non-relativistic tunneling particles

Bernardini

2009

Annals of Physics

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This report deals with the basic concepts on deducing transit times for quantum scattering: the stationary phase method and its relation with delay times for relativistic and non-relativistic tunneling particles. After reexamining the above-barrier diffusion problem, we notice that the applicability of this method is constrained by several subtleties in deriving the phase time that describes the localization of scattered wave packets. Using a recently developed procedure -multiple wave packet decomposition -for some specifical colliding configurations, we demonstrate that the analytical difficulties arising when the stationary phase method is applied for obtaining phase (traversal) times are all overcome. In this case, we also investigate the general relation between phase times and dwell times for quantum tunneling/scattering. Considering a symmetrical collision of two identical wave packets with an one-dimensional barrier, we demonstrate that these two distinct transit time definitions are explicitly connected. The traversal times are obtained for a symmetrized (two identical bosons) and an antisymmetrized (two identical fermions) quantum colliding configuration. Multiple wave packet decomposition shows us that the phase time (group delay) describes the exact position of the scattered particles and, in addition to the exact relation with the dwell time, leads to correct conceptual understanding of both transit time definitions.At last, we extend the non-relativistic formalism to the solutions for the tunneling zone of a onedimensional electrostatic potential in the relativistic (Dirac to Klein-Gordon) wave equation where the incoming wave packet exhibits the possibility of being almost totally transmitted through the potential barrier. The conditions for the occurrence of accelerated and, eventually, superluminal tunneling transmission probabilities are all quantified and the problematic superluminal interpretation based on the non-relativistic tunneling dynamics is revisited. Lessons concerning the dynamics of relativistic tunneling and the mathematical structure of its solutions suggest revealing insights into mathematically analogous condensed-matter experiments using electrostatic barriers in single-and bi-layer graphene, for which the accelerated tunneling effect deserves a more careful investigation.

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Measurement of the neutron interaction time with quantum objects

Cited by 13 publications

References 14 publications

Resonant and non-resonant tunneling through a double barrier

Resonant and non-resonant tunneling through a double barrier

The manifestation of one-dimensional noncollinear spin-dependent scattering on magnetized nano-element structures

Stationary phase method and delay times for relativistic and non-relativistic tunneling particles

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