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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 write explicitly a transformation of the scattering phases reducing the problem of quantum chaotic scattering for systems with M statistically equivalent channels at nonideal coupling to that for ideal coupling. Unfolding the phases by…

Disordered Systems and Neural Networks · Physics 2008-12-18 Dmitry V. Savin , Yan V. Fyodorov , Hans-Juergen Sommers

In this paper, we use a straightforward numerical method to solve scattering models in one-dimensional lattices based on a tight-binding band structure. We do this by using the wave packet approach to scattering, which presents a more…

Physics Education · Physics 2022-07-06 M. Staelens , F. Marsiglio

We investigate the low-frequency dynamics for transmission or reflection of a wave by a cavity with chaotic scattering. We compute the probability distribution of the phase derivative phi'=d phi/d omega of the scattered wave amplitude,…

Disordered Systems and Neural Networks · Physics 2007-05-23 K. J. H. van Bemmel , H. Schomerus , C. W. J. Beenakker

The physics of waves in time-varying media provides numerous opportunities for wave control that are unattainable with static media. In particular, Floquet systems with a periodic time modulation are currently of considerable interest.…

Optics · Physics 2024-11-21 David Globosits , Jakob Hüpfl , Stefan Rotter

The theory of acoustic wave scattering by many small bodies is developed for bodies with impedance boundary condition. It is shown that if one embeds many small particles in a bounded domain, filled with a known material, then one can…

Mathematical Physics · Physics 2009-11-13 A. G. Ramm

A qubit (a spin-1/2 particle) prepared in the up state is scattered by local spin-flipping potentials produced by the two target qubits (two fixed spins), both prepared in the down state, to generate an entangled state in the latter when…

Quantum Physics · Physics 2009-07-11 Yuichiro Hida , Hiromichi Nakazato , Kazuya Yuasa , Yasser Omar

Although many physical arguments account for using a modified definition of time delay in multichannel-type scattering processes, one can hardly find rigorous results on that issue in the literature. We try to fill in this gap by showing,…

Mathematical Physics · Physics 2009-11-11 Rafael Tiedra de Aldecoa

We investigate the particle trapping and scattering properties in a tight-binding network which consists of several subgraphs. The particle trapping condition is proved under which particles can be trapped in a subgraph without leaking.…

Quantum Physics · Physics 2010-05-20 L. Jin , Z. Song

The spectrum of electromagnetic waves in periodic linear structures, such as periodic waveguides or chains of microelements i.e. spheres, cavities, exhibit the sequence of stop bands for propagating waves. Breaking the translational…

Classical Physics · Physics 2023-04-18 L. Ivzhenko , A. Girich , M. Baranowski , A. Kharchenko , S. Mieszczak , S. Polevoy , S. Tarapov , M. Krawczyk , J. Klos

Localized scattering phenomena may result in the formation of stationary matter waves originating from a compact region in physical space. Mathematically, such waves are advantageously expressed in terms of quantum sources that are…

Quantum Physics · Physics 2007-05-23 Tobias Kramer , Christian Bracher , Manfred Kleber

We present a general formalism describing a propagation of an arbitrary multiparticle wave packet in a one-dimensional multimode chiral channel coupled to an ensemble of emitters which are distributed at arbitrary positions. The formalism…

Quantum Physics · Physics 2012-10-01 Mikhail Pletyukhov , Vladimir Gritsev

We propose a model for scattering in a flat resonator with a thin antenna. The results are applied to rectangular microwave cavities. We compute the resonance spacing distribution and show that it agrees well with experimental data provided…

Quantum Physics · Physics 2009-10-30 P. Exner , P. Šeba

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

Electronic transport properties of the disordered quantum wires are considered. The disorder is introduced via impurities (point scatterers), distributed uniformly over the two-dimensional strip, which represents a model quantum wire.…

Mesoscale and Nanoscale Physics · Physics 2014-12-31 Robert Gębarowski

We determine two-particle scattering phase shifts and mixing angles for quantum theories defined with lattice regularization. The method is suitable for any nonrelativistic effective theory of point particles on the lattice. In the…

Nuclear Theory · Physics 2008-11-26 Bugra Borasoy , Evgeny Epelbaum , Hermann Krebs , Dean Lee , Ulf-G. Meißner

The path-spin entangled state of a single spin-1/2 particle is considered which is generated by using a beam-spitter and a spin-flipper. Using this hybrid entanglement at the level of a single particle as a resource, we formulate a protocol…

Quantum Physics · Physics 2015-05-18 T. Pramanik , S. Adhikari , A. S. Majumdar , Dipankar Home , Alok Kumar pan

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

We present and experimentally verify a matrix approach for determining how to optimally sculpt an input wavefront both in space and time for any desired wave-control functionality, irrespective of the complexity of the wave scattering. We…

Applied Physics · Physics 2023-08-08 Clément Ferise , Philipp del Hougne , Matthieu Davy

We consider waveguides formed by single or multiple two-dimensional chaotic cavities connected to leads. The cavities are chaotic in the sense that the ray (or equivalently, classical particle) dynamics within them is chaotic. Geometrical…