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Time-independent scattering methods are widely employed to analyze transport in non-Hermitian systems. Their application, however, rests on a critical yet often overlooked assumption: that an incident wave is a pure superposition of…

Quantum Physics · Physics 2025-11-04 Chao Zheng

Resonances of open non-Hermitian systems are associated with the poles of the system scattering matrix. Perturbations of the system cause these poles to shift in the complex frequency plane. In this work, we introduce a novel method for…

Optics · Physics 2025-11-03 Niall Byrnes , Matthew R. Foreman

In this paper, we describe analytically the propagation of Airy-type pulses truncated by a finite-time aperture when second and third order dispersion effects are considered. The mathematical method presented here, based on the…

A new technique for obtaining switched wave packets using spectrally truncated chirped laser pulses is demonstrated experimentally and numerically by one-dimensional alignment of both linear and asymmetric top molecules. Using a simple…

We apply the framework developed in the preceding paper in this series (Smilansky 2017 J. Phys. A: Math. Theor. 50, 215301) to compute the time-delay distribution in the scattering of ultra short radio frequency pulses on complex networks…

Mathematical Physics · Physics 2018-01-23 Uzy Smilansky , Holger Schanz

In Impulsive Stimulated Raman Scattering vibrational oscillations, coherently stimulated by a femtosecond Raman pulse, are real time monitored and read out as intensity modulations in the transmission of a temporally delayed probe pulse.…

Chemical Physics · Physics 2019-11-28 Giovanni Batignani , Carino Ferrante , Giuseppe Fumero , Tullio Scopigno

The concepts of Wigner time delay and Wigner-Smith matrix allow to characterize temporal aspects of a quantum scattering process. The article reviews the statistical properties of the Wigner time delay for disordered systems; the case of…

Mesoscale and Nanoscale Physics · Physics 2018-11-06 Christophe Texier

We show here that due to non-adiabatic couplings in decaying systems applying the same time-dependent protocol in the forward and reverse direction to the same mixed initial state leads to different final pure states. In particular, in…

Quantum Physics · Physics 2013-02-07 Ido Gilary , Alexei A. Mailybaev , Nimrod Moiseyev

A one-dimensional scattering problem off a $\delta$-shaped potential is solved analytically and the time development of a wave packet is derived from the time-dependent Schr\"odinger equation. The exact and explicit expression of the…

Quantum Physics · Physics 2009-10-30 Hiromichi Nakazato

We study the statistical properties of the complex generalization of Wigner time delay $\tau_\text{W}$ for sub-unitary wave chaotic scattering systems. We first demonstrate theoretically that the mean value of the $\text{Re}[\tau_\text{W}]$…

Disordered Systems and Neural Networks · Physics 2021-11-15 Lei Chen , Steven M. Anlage , Yan V. Fyodorov

We study fluctuations of the Wigner time delay for open (scattering) systems which exhibit mixed dynamics in the classical limit. It is shown that in the semiclassical limit the time delay fluctuations have a distribution that differs…

Chaotic Dynamics · Physics 2010-03-09 J. P. Keating , A. M. Ozorio de Almeida , S. D. Prado , M. Sieber , R. Vallejos

Symmetry plays fundamental role in physics and the nature of symmetry changes in non-Hermitian physics. Here the symmetry-protected scattering in non-Hermitian linear systems is investigated by employing the discrete symmetries that…

Quantum Physics · Physics 2021-01-05 L. Jin , Z. Song

The reflection and transmission of a few-cycle laser pulse impinging on two parallel thin metal layers have been analyzed. The two layers, with a thickness much smaller than the skin depth of the incoming radiation field, are represented by…

Classical Physics · Physics 2019-05-16 M. Polner , S. Varró , A. Vörös-Kiss

Wigner-Smith (WS) time delay concepts have been used extensively in quantum mechanics to characterize delays experienced by particles interacting with a potential well. This paper formally extends WS time delay theory to Maxwell's equations…

Computational Physics · Physics 2021-02-09 Utkarsh R. Patel , Eric Michielssen

Time-reversal symmetry allows waves to retrace their paths through complex media and refocus at their origin. However, incomplete capture and reversal of scattered waves often limits pulse recompression. We address this challenge for…

Space-time varying media with moving interfaces unlock new ways to manipulate electromagnetic waves. Yet, analytical solutions have been mostly limited to interfaces moving at constant velocity or constant proper acceleration. Here, we…

Optics · Physics 2025-10-10 Klaas De Kinder , Amir Bahrami , Christophe Caloz

Focusing control of ultrashort pulsed beams is an important research topic, due to its impact to subsequent interaction with matter. In this work, we study the propagation near the focus of ultrashort laser pulses of ~25 fs duration under…

Significant progress in manipulating heat diffusion has been achieved with the advent of non-Hermitian physics and topology. However, previous studies on diffusive systems have primarily concentrated on isolated cases, where fields decay…

Applied Physics · Physics 2026-03-12 Dong Wang , Pei-Chao Cao , Yanxiang Wang , Minghong Qi , Ran Ju , Hongsheng Chen , Chengwei Qiu , Ying Li

The Wigner time delay of slow particles in the process of their elastic scattering by complex targets formed by several zero-range potentials is investigated. It is shown that at asymptotically large distances from the target, the…

Quantum Physics · Physics 2022-01-19 M. Ya. Amusia , A. S. Baltenkov , I. Woiciechowski

We study the occurence of delay mechanisms other than periodic orbits in systems with time dependent potentials that exhibit chaotic scattering. By using as model system two harmonically oscillating disks on a plane, we have found the…

Chaotic Dynamics · Physics 2009-10-31 P. Papachristou , F. K. Diakonos , E. Mavrommatis , V. Constantoudis