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The general and explicit relation between the phase time and the dwell time for quantum tunneling or scattering is investigated. Considering a symmetrical collision of two identical wave packets with an one-dimensional barrier, here we…

Quantum Physics · Physics 2009-11-10 Alex E. Bernardini

After reexamining the above barrier diffusion problem where we notice that the wave packet collision implies the existence of {\em multiple} reflected and transmitted wave packets, we analyze the way of obtaining phase times for…

High Energy Physics - Phenomenology · Physics 2010-10-27 Alex E. Bernardini

The refraction of space-time (ST) wave packets at planar interfaces between non-dispersive, homogeneous, isotropic dielectrics exhibit fascinating phenomena, even at normal incidence. Examples of such refractive phenomena include…

A complete one-dimensional scattering of a spinless particle on a time-independent potential barrier is considered. To describe separately transmitted and reflected particles in the corresponding subsets of identical experiments, we…

Quantum Physics · Physics 2007-05-23 N. L. Chuprikov

We demonstrate, both theoretically and experimentally, that arbitrary scatterers preserving parity-time-duality ($\mathcal{P}\cdot\mathcal{T}\cdot\mathcal{D}$) symmetry inherently produce a backscattered wave whose electric field is the…

Optics · Physics 2025-01-23 Roee Geva , Mário G. Silveirinha , Raphael Kastner

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

The group delay incurred by an optical wave packet depends on its path length. Therefore, when a wave packet is obliquely incident on a planar homogeneous slab, the group delay upon traversing it inevitably increases with the angle of…

Optics · Physics 2021-05-19 Alyssa A. Allende Motz , Murat Yessenov , Ayman F. Abouraddy

We develop a new variant of the wave-packet analysis and solve the tunneling time problem for one particle. Our approach suggests an individual asymptotic description of the quantum subensembles of transmitted and reflected particles both…

Quantum Physics · Physics 2007-05-23 N. L. Chuprikov

This is the first of two subsequent publications where the probability distribution of delay-times in scattering of wave packets is discussed. The probability distribution is expressed in terms of the on-shell scattering matrix, the…

Mathematical Physics · Physics 2017-05-24 Uzy Smilansky

The Wigner-Smith time-delay of flux conserving systems is a real quantity that measures how long an excitation resides in an interaction region. The complex generalization of time-delay to non-Hermitian systems is still under development,…

Chaotic Dynamics · Physics 2025-04-14 Nadav Shaibe , Jared M. Erb , Steven M. Anlage

Space-time (ST) wave packets are a class of pulsed optical beams whose spatio-temporal spectral structure results in propagation invariance, tunable group velocity, and fascinating refractive phenomena. Here, we investigate the refraction…

We identify the poles and zeros of the scattering matrix of a simple quantum graph by means of systematic measurement and analysis of Wigner, transmission, and reflection complex time delays. We examine the ring graph because it displays…

Disordered Systems and Neural Networks · Physics 2022-05-24 Lei Chen , Steven M. Anlage

Entanglement is usually associated with compound systems. We first show that a one-dimensional (1D) completed scattering of a particle on a static potential barrier represents an entanglement of two alternative one-particle sub-processes,…

Quantum Physics · Physics 2007-05-23 N. L. Chuprikov

Negative refraction is a peculiar wave propagation phenomenon that occurs when a wave crosses a boundary between a regular medium and a medium with both constitutive parameters negative at the given frequency. The phase and group velocities…

Optics · Physics 2022-09-23 Or Lasri , Lea Sirota

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. We notice that the…

Quantum Physics · Physics 2017-11-08 Alex E. Bernardini

Two-particle scattering probabilities in tunneling scenarios with exchange interaction are analyzed with quasi-particle wave packets. Two initial one-particle wave packets (with opposite central momentums) are spatially localized at each…

Quantum Physics · Physics 2015-06-03 D. Marian , E. Colomés , X. Oriols

The refraction of space-time (ST) wave packets offers many fascinating surprises with respect to conventional pulsed beams. In paper (I) of this sequence, we described theoretically the refraction of all families of ST wave packets at…

In the linear regime, transport properties of ballistic two-terminal devices are generally considered to be independent of the direction of the current. This two-terminal reciprocity applies to both the electron transmission and reflection…

Mesoscale and Nanoscale Physics · Physics 2021-01-20 P. Bredol

Space-time (ST) wave packets are pulsed optical beams endowed with precise spatio-temporal structure by virtue of which they exhibit unique and useful characteristics, such as propagation invariance and tunable group velocity. We study in…

Optics · Physics 2021-09-29 Murat Yessenov , Basanta Bhaduri , Ayman F. Abouraddy

Delay time is defined as a time that a wave spent in a scattering medium before it escapes, and this can be derived by the energy derivative of the phase of the scattering wave. Considering the complex reflection amplitude…

Optics · Physics 2018-12-31 Prabhakar Pradhan , Peeyush Sahay , Huda M. Almabadi
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