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An overarching goal in the flourishing field of quantum simulation for high-energy physics is the first-principles study of the microscopic dynamics of scattering processes on a quantum computer. Currently, this is hampered by small system…

Scattering properties of a material are changed when the material is injected with small acoustically soft particles. It is shown that its new scattering behavior can be understood as a solution of a potential scattering problem with the…

Mathematical Physics · Physics 2007-05-23 A. G. Ramm , S. Gutman

We consider a two-level system coupled to a mesoscopic two-terminal conductor that acts as measuring device. As a convenient description of the conductor we introduce its scattering matrix. We show how its elements can be used to calculate…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. Buttiker , S. Pilgram

Scattering methods are widely used in many research areas to analyze and resolve material structures. Given the importance, a large number of full textbooks are devoted to this topic. However, technical details in experiments and…

Soft Condensed Matter · Physics 2021-04-02 Dingning Li , Kai Zhang

Electron quantum optics aims to realize ideas from the quantum theory of light with the role of photons being played by charge pulses in electronic conductors. Experimentally, the charge pulses are excited by time-dependent voltages,…

Mesoscale and Nanoscale Physics · Physics 2024-06-21 Pedro Portugal , Fredrik Brange , Christian Flindt

Using the effective-mass approximation and Floquet theory, we study the electron transmission over a quantum well in semiconductor heterostructures with Dresselhaus spin-orbit coupling and an applied oscillation field. It is demonstrated by…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Cun-Xi Zhang , Y. -H. Nie , J. -Q. Liang

We propose a three-terminal spin-valve setup, to determine experimentally the spin-dependent shot noise, which carries information on the spin-relaxation processes. Based on a spin-dependent Boltzmann-Langevin approach, we show that the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. Zareyan , W. Belzig

Using a tight-binding model, we study one-parameter charge pumping in a one-dimensional system of non-interacting electrons. An oscillating potential is applied at one site while a static potential is applied in a different region. Using…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Amit Agarwal , Diptiman Sen

The amount of charge which is pushed by a moving scatterer is $dQ = -G dX$, where $dX$ is the displacement of the scatterer. The question is what is $G$. Does it depend on the transmission $g_0$ of the scatterer? Does the answer depend on…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Doron Cohen , Tsampikos Kottos , Holger Schanz

We investigate the distribution function, the heat flow and the noise properties of an adiabatic quantum pump for an arbitrary relation of pump frequency $\omega$ and temperature. To achieve this we start with the scattering matrix approach…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. Moskalets , M. Buttiker

Recently, the possibility of an all electrical scheme of preparation and readout for a single spin state in a single quantum dot attached to spin biased leads has been shown [F. Chi et al., Phys. Rev. B 81, 075310 (2010)]. However, spin…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Piotr Trocha

A solution of the scattering problem is obtained for the Schr\"odinger equation with the potential of induced dipole interaction, which decreases as the inverse square of the distance. Such a potential arises in the collision of an incident…

Atomic Physics · Physics 2023-08-23 V. A. Gradusov , S. L. Yakovlev

The standard scattering theory (SST) in non relativistic quantum mechanics (QM) is analyzed. Self-contradictions of SST are deconstructed. A direct way to calculate scattering probability without introduction of a finite volume is…

Quantum Physics · Physics 2007-05-23 V. K. Ignatovich

The last few years have seen rapid development of applications of quantum computation to quantum field theory. The first algorithms for quantum simulation of scattering have been proposed in the context of scalar and fermionic theories,…

Quantum Physics · Physics 2024-04-18 Matteo Turco , Gonçalo M. Quinta , João Seixas , Yasser Omar

We investigate coherent multiple scattering effects in the random quantum kicked rotor model. By changing the starting time of the Floquet period, two new classes of models can be introduced that exhibit similar interference structures. For…

We construct a trajectory-based semiclassical theory of shot noise in clean chaotic cavities. In the universal regime of vanishing Ehrenfest time $\tE$, we reproduce the random matrix theory result, and show that the Fano factor is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Robert S. Whitney , Philippe Jacquod

A rigorous theory of diffraction scattering from extended objects is proposed. The present theory is based on a multiple asymptotic expansion of an integral equation for the exact wave function in terms of the large parameters of the…

Other Condensed Matter · Physics 2016-06-17 Gennady V. Kovalev

A new formulation of potential scattering in quantum mechanics is developed using a close structural analogy between partial waves and the classical dynamics of many non-interacting fields. Using a canonical formalism we find non-linear…

Quantum Physics · Physics 2009-11-13 M. S. Hussein , W. Li , S. Wuester

We give an exposure to diagrammatic techniques in waveguide QED systems. A particular emphasis is placed on the systems with delayed coherent quantum feedback. Specifically, we show that the $N$-photon scattering matrices in single-qubit…

Quantum Physics · Physics 2021-09-01 Kiryl Piasotski , Mikhail Pletyukhov

We optimize the operation of single-electron charge pumps using full counting statistics techniques. To this end, we evaluate the statistics of pumped charge on a wide range of driving frequencies using Floquet theory, focusing here on the…

Mesoscale and Nanoscale Physics · Physics 2019-01-28 Elina Potanina , Kay Brandner , Christian Flindt