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We formulate quantum tunneling as a time-of-arrival problem: we determine the detection probability for particles passing through a barrier at a detector located a distance L from the tunneling region. For this purpose, we use a…

Quantum Physics · Physics 2009-11-13 Charis Anastopoulos , Ntina Savvidou

A high energy density plasma embedded in a neutral gas is able to launch an outward-propagating nonlinear electrostatic ionization wave that traps energetic electrons. The trapping maintains a strong sheath electric field, enabling rapid…

Plasma Physics · Physics 2021-02-24 Haotian Mao , Kathleen Weichman , Zheng Gong , Todd Ditmire , Hernan Quevedo , Alexey Arefiev

We consider resonant tunneling of electromagnetic waves through an optical barrier formed by dielectric layers with the frequency dispersion of their dielectric permiability. The frequency region between lower and upper polariton branches…

Condensed Matter · Physics 2009-10-30 Lev I. Deych , D. Livdan , A. A. Lisyansky

We analyze tunnel ionization of a single atom based on the Wigner function over the classical phase space which inspires improved classical electron trajectories: these start with exit momenta based on the quantum momentum function and…

Quantum Physics · Physics 2019-04-12 Szabolcs Hack , Szilárd Majorosi , Mihály Benedict , Attila Czirják

An Electromagnetic (EM) pulse falling on a plasma medium from vacuum can either reflect or propagate inside the plasma depending on whether it is overdense or underdense. In a magnetised plasma, however, there are usually several pass and…

Plasma Physics · Physics 2021-07-26 Devshree Mandal , Ayushi Vashistha , Amita Das

We study the temporal aspects of quantum tunneling as manifested in time-of-arrival experiments in which the detected particle tunnels through a potential barrier. In particular, we present a general method for constructing temporal…

Quantum Physics · Physics 2015-06-12 Charis Anastopoulos , Ntina Savvidou

Waves play an essential role in many aspects of plasma science, such as plasma manipulation and diagnostics. Due to the complexity of the governing equations, approximate models are often necessary to describe wave dynamics. In this…

Plasma Physics · Physics 2017-08-21 D. E. Ruiz

Besides the relation between the wave vector $\bm k$ and the complex frequency $\omega$, wave polarization is useful for characterizing the properties of a plasma wave. The polarization of the electromagnetic fields, $\delta \bm E$ and…

Plasma Physics · Physics 2021-03-31 Hua-sheng Xie , Richard Denton , Jin-song Zhao , Wen Liu

The Wigner time delay is a measure of the time spent by a particle inside the scattering region of an open system. For chaotic systems, the statistics of the individual delay times (whose average is the Wigner time delay) are thought to be…

Chaotic Dynamics · Physics 2013-03-06 Gregory Berkolaiko , Jack Kuipers

Tunneling times in atomic ionization are studied theoretically by a virtual detector approach. A virtual detector is a hypothetical device that allows one to monitor the wave function's density with spatial and temporal resolution during…

Quantum Physics · Physics 2016-08-10 Nicolas Teeny , Christoph H. Keitel , Heiko Bauke

Tunneling of optical pulses at 1.5 micron wavelength through double-barrier periodic fiber Bragg gratings is experimentally investigated. Tunneling time measurements as a function of barrier distance show that, far from the resonances of…

Optics · Physics 2009-11-07 S. Longhi , P. Laporta , M. Belmone , E. Recami

A theory is presented for tunneling between compressible regions on the sides of a narrow incompressible Quantum Hall strip. Assuming that electron interactions lead to formation of a Wigner crystal on the edges of the compressible regions,…

Condensed Matter · Physics 2016-08-31 M. B. Hastings , L. S. Levitov

The Salecker-Wigner-Peres (SWP) clock is often used to determine the duration a quantum particle is supposed to spend is a specified region of space $\Om$. By construction, the result is a real positive number, and the method seems to avoid…

Quantum Physics · Physics 2017-08-23 D. Sokolovski

The Wigner-Smith (WS) time delay matrix relates a system's scattering matrix to its frequency derivative and gives rise to so-called WS modes that experience well-defined group delays when interacting with the system. For systems composed…

Computational Physics · Physics 2023-06-14 Yiqian Mao , Utkarsh R. Patel , Eric Michielssen

There remains the old question of how long a quantum particle takes to tunnel through a potential barrier higher than its incident kinetic energy. In this article a solution of the question is proposed on the basis of a realistic…

Quantum Physics · Physics 2007-06-26 Wang Guowen

Long ago appeared a discussion in quantum mechanics of the problem of opening a completely absorbing shutter on which were impinging a stream of particles of definite velocity. The solution of the problem was obtained in a form entirely…

Quantum Physics · Physics 2009-10-31 Vladimir Man'ko , Marcos Moshinsky , Anju Sharma

After a brief review of the derivation of the standard phase time formula, based on the use of the stationary phase method, we propose, in the opaque limit, an alternative method to calculate the phase time. The new formula for the phase…

Quantum Physics · Physics 2015-05-27 Stefano De Leo , Vinicius Leonardi

Attosecond dynamics of electron transmission through atomically-thin crystalline films is studied with an {\em ab initio} scattering theory. The temporal character of the electron propagation through graphene multilayers is traced to the…

Materials Science · Physics 2025-06-10 E. E. Krasovskii , R. O. Kuzian

Photoemission and tunneling spectroscopies measure the energies at which single electrons can be added to or removed from an electronic system. Features observed in such spectra have revealed electrons coupling to vibrational modes of ions…

Strongly Correlated Electrons · Physics 2017-05-09 Joonho Jang , Benjamin Hunt , Loren N. Pfeiffer , Kenneth W. West , Raymond C. Ashoori

This paper presents a comprehensive investigation of the problem of a harmonic oscillator with time-depending frequencies in the framework of the Vlasov theory and the Wigner function apparatus for quantum systems in the phase space. A new…

Quantum Physics · Physics 2023-05-16 E. E. Perepelkin , B. I. Sadovnikov , N. G. Inozemtseva , A. A. Korepanova