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We study quantum walks on general graphs from the point of view of scattering theory. For a general finite graph we choose two vertices and attach one half line to each. We are interested in walks that proceed from one half line, through…

量子物理 · 物理学 2009-11-10 Edgar Feldman , Mark Hillery

We theoretically and experimentally establish a connection between linearly chirped pulse propagation properties and the complex generalization of Wigner-Smith time delay for both transmitted and reflected pulses in linear and dispersive…

光学 · 物理学 2026-05-19 Isabella L. Giovannelli , Steven M. Anlage , Thomas M. Antonsen

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…

无序系统与神经网络 · 物理学 2009-11-11 Tsampikos Kottos

We investigate the diffusive motion of an overdamped classical particle in a 1D random potential using the mean first-passage time formalism and demonstrate the efficiency of this method in the investigation of the large-time dynamics of…

超导电性 · 物理学 2009-10-31 D. A. Gorokhov , G. Blatter

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…

量子物理 · 物理学 2009-05-04 Alex E. Bernardini

We show that arrival times for electromagnetic pulses measured through the rate of absorption in an ideal impedance matched detector are equivalent to the arrival times using the average flow of optical energy as proposed by Peatross {\it…

材料科学 · 物理学 2009-11-11 Lipsa Nanda , Aakash Basu , S. Anantha Ramakrishna

Quantum threshold reflection is a well known quantum phenomenon which prescribes that at threshold, except for special circumstances, a quantum particle scattering from any potential, even if attractive at long range, will be reflected with…

量子物理 · 物理学 2018-04-11 Jakob Petersen , Eli Pollak , Salvador Miret-Artes

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…

量子物理 · 物理学 2022-01-19 M. Ya. Amusia , A. S. Baltenkov , I. Woiciechowski

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…

介观与纳米尺度物理 · 物理学 2014-07-24 Mathias Albert , Pierre Devillard

Eisenbud-Wigner-Smith delay and the Larmor time give different estimates for the duration of a quantum scattering event. The difference is most pronounced in the case where de-Broglie wavelength is large compared to the size of the…

量子物理 · 物理学 2024-01-17 X. Gutiérrez de la Cal , M. Pons , D. Sokolovski

Fluids confined to quasi-one-dimensional channels exhibit a dynamic crossover from single file diffusion to normal diffusion as the channel becomes wide enough for particles to hop past each other. In the crossover regime, where hopping…

软凝聚态物质 · 物理学 2019-07-24 Sheida Ahmadi , Marina Schmidt , Raymond J. Spiteri , Richard K. Bowles

We develop a general framework for the construction of probabilities for the time of arrival in quantum systems. The time of arrival is identified with the time instant when a transition in the detector's degrees of freedom takes place.…

量子物理 · 物理学 2013-05-30 Charis Anastopoulos , Ntina Savvidou

We make the first steps towards a generic theory for energy spreading and quantum dissipation. The Wall formula for the calculation of friction in nuclear physics and the Drude formula for the calculation of conductivity in mesoscopic…

凝聚态物理 · 物理学 2009-10-31 Doron Cohen

The delay time associated with a scattering process is one of the most important dynamical aspects in quantum mechanics. A common measure of this is the Wigner delay time based on the group velocity description of a wave-packet, which my…

量子物理 · 物理学 2016-12-31 S. Anantha Ramakrishna , Arun M. Jayannavar

We explore the absorption and scattering properties of one dimensional parity-time ($\mathcal{PT}$)-symmetric photonic crystal. In addition to the familiar transmittance and reflectance, we give the definition of the generalized absorptance…

光学 · 物理学 2021-07-30 Tiecheng Wang

In recent years, Couder and collaborators have initiated a series of studies on walking droplets. Experimentally, they found that at frequencies and amplitudes close to the onset of Faraday waves, droplets on the surface of silicone oil can…

混沌动力学 · 物理学 2024-09-19 Chuan-Yu Hung , Ting-Heng Hsieh , Tzay-Ming Hong

Motivated by recent time domain experiments on ultrafast atom ionization, we analyze the transients and timescales that characterize, besides the relatively long lifetime, the decay by tunneling of a localized state. While the tunneling…

量子物理 · 物理学 2011-01-07 Yue Ban , E. Ya. Sherman , J. G. Muga , M. Büttiker

We present a scattering theory for the efficient transmission of an excitation across a finite network with designed disorder. We show that the presence of randomly positioned networks sites allows to significantly accelerate the excitation…

量子物理 · 物理学 2017-11-22 Mattia Walschaers , Roberto Mulet , Andreas Buchleitner

We study non-relativistic propagation of Gaussian wave packets in one-dimensional Eckart potential, a barrier, or a well. In the picture used, the transmitted wave packet results from interference between the copies of the freely…

量子物理 · 物理学 2022-03-10 X. Gutiérrez de la Cal , M. Pons , D. Sokolovski

We put forward several inherently quantum characteristics of the dwell time, and propose an operational method to detect them. The quantum dwell time is pointed out to be a conserved quantity, totally bypassing Pauli's theorem. Furthermore,…

量子物理 · 物理学 2007-05-23 J. A. Damborenea , I. L. Egusquiza , J. G. Muga , B. Navarro