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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

The scattering matrix $S$ linearly relates the vector of incoming waves to outgoing wave excitations, and contains an enormous amount of information about the scattering system and its connections to the scattering channels. Time delay is…

Optics · Physics 2026-02-02 Isabella L. Giovannelli , Steven M. Anlage

Characterizing resonant scatterers is challenging because their poles and zeros usually lie away from the real-frequency axis, whereas most measurements sample only real frequencies and infer off-axis behavior from fitted models. Here we…

Optics · Physics 2026-03-16 Alex Krasnok , Denis Seletskiy

We consider wave propagation in a complex structure coupled to a finite number $N$ of scattering channels, such as chaotic cavities or quantum dots with external leads. Temporal aspects of the scattering process are analysed through the…

Mathematical Physics · Physics 2019-12-12 Aurélien Grabsch , Dmitry V. Savin , Christophe Texier

The Wigner-Smith (WS) time delay matrix relates a lossless system's scattering matrix to its frequency derivative. First proposed in the realm of quantum mechanics to characterize time delays experienced by particles during a collision,…

Computational Engineering, Finance, and Science · Computer Science 2023-05-17 Utkarsh R. Patel , Yiqian Mao , Eric Michielssen

We study the effect of the chirped laser pulse on the transmission and associated ion acceleration by the sub-wavelength target. In the chirped laser pulses, the pulse frequency has a temporal variation about its fundamental frequency,…

Plasma Physics · Physics 2018-11-06 Shivani Choudhary , Amol R. Holkundkar

We report an asymmetric behavior of optical pulses during their propagation through a time-varying linear optical medium. The refractive index of the medium is considered to be varying with time and complex such that a sufficient amount of…

Optics · Physics 2020-07-17 Piyali Biswas , Harsh K. Gandhi , Vaibhab Mishra , Somnath Ghosh

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

We study the universal fluctuations of the Wigner-Smith time delay for systems which exhibit chaotic dynamics in their classical limit. We present a new derivation of the semiclassical relation of the quantum time delay to properties of the…

chao-dyn · Physics 2009-10-30 R. O. Vallejos , A. M. Ozorio de Almeida , C. H. Lewenkopf

The Wigner time delay, defined by the energy derivative of the total scattering phase shift, is an important spectral measure of an open quantum system characterising the duration of the scattering event. It is related to the trace of the…

Chaotic Dynamics · Physics 2014-12-12 Jack Kuipers , Dmitry V. Savin , Martin Sieber

Utilizing scattering theory, we quantify the consequences of physical constraints that limit the visibility of non-Hermitian effects in passive devices. The constraints arise from the fundamental requirement that the system obeys causality,…

Optics · Physics 2023-12-15 Henning Schomerus

We study cumulative scattering effects on wave front propagation in time dependent randomly layered media. It is well known that the wave front has a deterministic characterization in time independent media, aside from a small random shift…

Analysis of PDEs · Mathematics 2016-01-20 Liliana Borcea , Knut Solna

Using numerical simulations, we study propagation of linearly-chirped optical pulses in a homogeneously broadened two-level medium. We pay attention to the three main topics -- validity of the rotating-wave approximation (RWA), pulse…

Optics · Physics 2015-10-13 Denis Novitsky

We consider a sequence of quantized Lorentzian pulses of non-interacting electrons impinging on a quantum point contact (QPC) and study the waiting time distribution (WTD), for any transmission and any number of pulses. As the degree of…

Mesoscale and Nanoscale Physics · Physics 2014-07-24 Mathias Albert , Pierre Devillard

We review recent developments on quantum scattering from mesoscopic systems. Various spatial geometries whose closed analogs shows diffusive, localized or critical behavior are considered. These are features that cannot be described by the…

Disordered Systems and Neural Networks · Physics 2009-11-11 Tsampikos Kottos

We consider reflection and transmission of 2D quantum wavepackets with phase vortices (also known in optics as spatiotemporal vortex pulses) at potential step-like, delta-function, and rectangular barriers. The presence of a vortex…

Quantum Physics · Physics 2022-09-28 Maxim Mazanov , Konstantin Y. Bliokh

We investigate the scattering properties of an anti-parity-symmetric non-Hermitian system. The anti-parity-symmetric scattering center possesses imaginary nearest-neighbor hoppings and real onsite potentials, it has been experimentally…

Optics · Physics 2018-09-30 L. Jin

We present a robust approach to incorporating models for the time-variable broadening of the pulse profile due to scattering in the ionized interstellar medium into profile-domain pulsar timing analysis. We use this approach to…

Instrumentation and Methods for Astrophysics · Physics 2017-04-12 L. Lentati , M. Kerr , S. Dai , R. M. Shannon , G. Hobbs , S. Oslowski

We show that there exist non-relativistic scattering experiments which, if successful, freeze out, speed up or even reverse the free dynamics of any ensemble of quantum systems present in the scattering region. This time translation effect…

Quantum Physics · Physics 2020-12-16 David Trillo , Benjamin Dive , Miguel Navascues

We study inelastic resonant scattering of a Gaussian wave packet with the parameters close to a zero of the complex scattering coefficient. We demonstrate, both theoretically and experimentally, that such near-zero scattering can result in…

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