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We show that a short-range strong repulsive (contact) interaction between the particles in the barrier may change the statistics of two-particle tunnelling. In the case of a resonance of a width $\Gamma$, the effect would be observed if the…

Quantum Physics · Physics 2015-06-19 D. Sokolovski , L. M. Baskin

We calculate the time taken by a wave packet to travel through a classically forbidden region of space in space fractional quantum mechanics. We obtain the close form expression of tunneling time from a rectangular barrier by stationary…

Quantum Physics · Physics 2019-08-06 Mohammad Hasan , Bhabani Prasad Mandal

Time evolution of tunneling phenomena in medium is studied using a standard model of environment interaction. A semiclassical formula valid at low, but finite temperatures is derived in the form of integral transform for the reduced Wigner…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sh. Matsumoto , M. Yoshimura

We begin the Article with confusing citations in published papers on the question recently: how much time does a wave packet spend in a tunnelling barrier? ..a particle tunnelling through a barrier appears to do so in zero time 1. .. The…

Quantum Physics · Physics 2022-11-02 Guenter Nimtz , Horst Aichmann

We apply the bosonization technique to the problem of tunneling in a Fermi liquid, and present a semiclassical theory of tunneling rates. To test the method, we derive and evaluate an expression for the tunneling current in the problem of…

Condensed Matter · Physics 2007-05-23 L. S. Levitov , A. V. Shytov

We have used the method of generating functional in imaginary time to derive the current-voltage characteristics of a tunnel junction with arbitrary tunneling conductance, connected in series with an external impedance and a voltage source.…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 X. H. Wang , K. A. Chao

We consider the quantum creation of a closed universe within the Euclidean path-integral formalism. An analytical expression for the tunneling probability is derived, including both the exponential suppression and the exact Gaussian…

General Relativity and Quantum Cosmology · Physics 2026-05-18 L. Salasnich

Characteristic features of tunneling times for dissipative tunneling of a particle through a rectangular barrier are studied within a semiclassical model involving dissipation in the form of a velocity dependent frictional force. The…

Quantum Physics · Physics 2017-05-15 N. G. Kelkar , D. Lozano Gómez , Edgar J. Patiño

The tunneling rates for scalar fields with quartic potentials in de Sitter space in the limit of no gravitational back reaction are calculated numerically and the results are fitted by analytic formulae.

High Energy Physics - Phenomenology · Physics 2009-10-09 Misao Sasaki , Ewan D. Stewart , Takahiro Tanaka

Probabilities of resonant tunneling through a potential barrier are compared for a rigid molecule and an excited molecule. It is shown that the resonance spectrum is mainly governed by the transmission resonance spectrum of the rigid…

Quantum Physics · Physics 2015-06-23 P. M. Krassovitskiy , F. M. Pen'kov

We investigate theoretically and numerically quantum reflection of dark solitons propagating through an external reflectionless potential barrier or in the presence of a position-dependent dispersion. We confirm that quantum reflection…

Pattern Formation and Solitons · Physics 2022-01-11 L. Al Sakkaf , T. Uthayakumar , U. Al Khawaja

We present the first experimental observation of resonance-assisted tunneling, a wave phenomenon, where regular-to-chaotic tunneling is strongly enhanced by the presence of a classical nonlinear resonance chain. For this we use a microwave…

Mesoscale and Nanoscale Physics · Physics 2015-09-09 Stefan Gehler , Steffen Löck , Susumu Shinohara , Arnd Bäcker , Roland Ketzmerick , Ulrich Kuhl , Hans-Jürgen Stöckmann

We derive an expression for the conditional time for the reflection of a wave from an arbitrary potential barrier using the WKB wavefunction in the barrier region. Our result indicates that the conditional times for transmission and…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 S. Anantha Ramakrishna , A. M. Jayannavar

In a recent review paper [{\em Phys. Reports} {\bf 214} (1992) 339] we proposed, within conventional quantum mechanics, new definitions for the sub-barrier tunnelling and reflection times. \ Aims of the present paper are: \ (i) presenting…

Quantum Physics · Physics 2009-10-28 V. S. Olkhovsky , E. Recami , F. Raciti , A. Zaichenko

We theoretically investigate the properties of crossing for two perpendicular subwavelength plasmonic slot waveguides. We show that, when encountering nano intersection, the crosstalk for the direct crossing is around 25%, almost same as…

Optics · Physics 2008-09-23 Sanshui Xiao , Niels Asger Mortensen

Electron tunneling through small metallic islands with low capacitance is studied. The large charging energy in these systems is responsible for nonperturbative Coulomb blockade effects. We further consider the effect of electron…

Condensed Matter · Physics 2016-08-31 Jürgen König , Herbert Schoeller , Gerd Schön , Rosario Fazio

The extremely small probability of tunneling through an almost classical potential barrier may become not small under the action of the specially adapted non-stationary signal which selects the certain particle energy E_R. For particle…

Quantum Physics · Physics 2009-02-05 B. I. Ivlev

We propose measurements of low-frequency noise in the tunneling current through a single molecule with a spin as an experimental probe for identifying a mechanism of the spin-dependent tunneling. A specific tail near the zero frequency in…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Y. M. Galperin , V. I. Kozub , V. M. Vinokur

Experiments with evanescent modes and tunneling particles have shown that i) their signal velocity may be faster than light, ii) they are described by virtual particles, iii) they are nonlocal and act at a distance, iv) experimental…

Quantum Physics · Physics 2015-05-18 Guenter Nimtz

In this paper, we probe the validity of the tunnelling interpretation that is usually called forth in literature to explain the phenomenon of particle production by time independent classical electromagnetic backgrounds. We show that the…

High Energy Physics - Theory · Physics 2009-10-30 L. Sriramkumar , T. Padmanabhan