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The stationary phase method is often employed for computing tunneling {\em phase} times of analytically-continuous {\em gaussian} or infinite-bandwidth step pulses which collide with a potential barrier. The indiscriminate utilization of…

Quantum Physics · Physics 2009-05-04 Alex E. Bernardini

Tunneling is an important physical process. The observation that particles surmount a high mountain in spite of the fact that they don't have the necessary energy cannot be explained by classical physics. However, this so called tunneling…

Quantum Physics · Physics 2009-11-13 G. Nimtz , A. A. Stahlhofen

We study the tunneling through an arbitrary number of finite rectangular opaque barriers and generalize earlier results by showing that the total tunneling phase time depends neither on the barrier thickness nor on the inter-barrier…

Quantum Physics · Physics 2009-11-07 S. Esposito

We present a theoretical framework for electromagnetic scattering by particles with a permittivity that is periodically varying in time, based on a perturbative approach. Within this framework, we derive explicit expressions for the…

We derive an analytical expression for the transition path time (TPT) distribution for a one-dimensional particle crossing a parabolic barrier. The solution is expressed in terms of the eigenfunctions and eigenvalues of the associated…

Statistical Mechanics · Physics 2018-12-10 Michele Caraglio , Stefanie Put , Enrico Carlon , Carlo Vanderzande

Tunneling time, time needed for a quantum particle to tunnel through a potential energy barrier, can be measured by a duration marker. One such marker is spin reorientation due to Larmor precession. With a weak magnetic field in $z$…

Quantum Physics · Physics 2022-07-27 Durmus Demir

This paper studies time-dependent electromagnetic scattering from metamaterials that are described by dispersive material laws. We consider the numerical treatment of a scattering problem in which a dispersive material law, for a causal and…

Numerical Analysis · Mathematics 2023-11-08 Jörg Nick , Selina Burkhard , Christian Lubich

We present results for the fluctuations of the displacement of a tracer particle on a planar lattice pulled by a step force in the presence of impenetrable, immobile obstacles. The fluctuations perpendicular to the applied force are…

Statistical Mechanics · Physics 2018-02-06 Sebastian Leitmann , Thomas Schwab , Thomas Franosch

We analyze the propagation of an incident electromagnetic wave in a purely-time modulated medium. Precisely, we assume that the permeability is unchanged while the permittivity has a multiple-step profile in time and uniformly constant in…

Mathematical Physics · Physics 2023-12-18 Mourad Sini , Haibing Wang , Qingyun Yao

Recent studies of the tunnelling through two opaque barriers claim that the transit time is independent of the barrier widths and of the separation distance between the barriers. We observe, in contrast, that if multiple reflections are…

Quantum Physics · Physics 2007-05-23 Stefano De Leo , Pietro Rotelli

The nonstationary and steady-state transport through a mesoscopic sample connected to particle reservoirs via time-dependent barriers is investigated within the reduced density operator method. The generalized Master equation is solved via…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Valeriu Moldoveanu , Andrei Manolescu , Vidar Gudmundsson

We study the time required for a wave packet to tunnel beyond a square barrier, or to be reflected, by envisaging a physical clock which ticks only when the particle is within the barrier region. The clock consists in a magnetic moment…

Quantum Physics · Physics 2008-02-03 Andrea Begliuomini , Luciano Bracci

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 recent investigation into the phenomena of refraction and reflection at temporal boundaries, conducted through the lens of spacetime duality, has attracted considerable scholarly interest. This duality unveils insights into the…

Optics · Physics 2025-03-21 Jing Wang , Yuetao Chen , Shaoyan Gao

Inspired by the observation of a distributed time delay in the nonlinear response of an optical resonator, we investigate the effects of a similar delay on a noise-driven mechanical oscillator. For a delay time that is commensurate with the…

Optics · Physics 2022-02-16 K. J. H. Peters , S. R. K. Rodriguez

The exchange interaction and correlations may produce a power-law decay instead of the usual exponential decrease of the wave function under potential barrier. The exchange-assisted tunneling vanishes in the classical limit, however, the…

Quantum Physics · Physics 2015-05-14 V. V. Flambaum

This paper analyzes theoretically the signal propagation in spin transport by modulating the current passing through magnetic multilayers. Using a macroscopic description of spin transport based on the dynamical Boltzmann equation, we show…

Other Condensed Matter · Physics 2009-11-13 Yao-Hui Zhu , Burkard Hillebrands , Hans Christian Schneider

We study the relaxation time of a generic plasma which is perturbed by means of a time-dependent pulsed force. This time pulse is modelled using a Gaussian superposition. During such a pulse two forces are considered: An inhomogeneous…

Statistical Mechanics · Physics 2025-09-23 Juan-Luis Domenech-Garret

A classical representation of an extended body over barriers of height greater than the energy of the incident body is shown to have many features in common with quantum tunneling as the center-of-mass literally goes through the barrier. It…

General Physics · Physics 2008-11-26 Arthur Cohn , Mario Rabinowitz

We bring together the semiclassical approximation, matrix integrals and the theory of symmetric polynomials in order to solve a long standing problem in the field of quantum chaos: to compute transport moments when tunnel barriers are…

Mesoscale and Nanoscale Physics · Physics 2022-07-04 Lucas H. Oliveira , Pedro H. S. Bento , Marcel Novaes
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