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We develop a statistical theory describing quantum-mechanical scattering of a particle by a cavity when the geometry is such that the classical dynamics is chaotic. This picture is relevant to a variety of systems, ranging from atomic…

介观与纳米尺度物理 · 物理学 2009-10-31 P. A. Mello , H. U. Baranger

The past few years have seen a revived interest in quantum geometrical characterizations of band structures due to the rapid development of topological insulators and semi-metals. Although the metric tensor has been connected to many…

介观与纳米尺度物理 · 物理学 2023-03-07 Adrien Bouhon , Abigail Timmel , Robert-Jan Slager

It is shown that the spectral points (bound states and resonances) generated by a central potential of a single-channel problem, can be found using rational parametrization of the S-matrix. To achieve this, one only needs values of the…

核理论 · 物理学 2015-05-30 S. A. Rakityansky , S. A. Sofianos , N. Elander

We study heat transport in a one-dimensional chain of a finite number $N$ of identical cells, coupled at its boundaries to stochastic particle reservoirs. At the center of each cell, tracer particles collide with fixed scatterers,…

统计力学 · 物理学 2022-04-10 Pierre Collet , Jean-Pierre Eckmann , Carlos Mejia-Monasterio

Here, we employ a numerical approach to investigate the transport and conductance characteristics of a quantum point contact. A quantum point contact is a narrow constriction of a width comparable to the electron wavelength defined in a…

介观与纳米尺度物理 · 物理学 2015-12-08 G. Bilgec Akyüz , A. Siddiki

We develop a scattering theory to investigate the multi-photon transmission in a one-dimensional waveguide in the presence of quantum emitters. It is based on a path integral formalism, uses displacement transformations, and does not…

量子物理 · 物理学 2015-11-25 Tao Shi , Darrick E. Chang , J. Ignacio Cirac

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 study the hopping transport of a quantum particle through finite, randomly diluted percolation clusters in two dimensions. We investigate how the transmission coefficient T behaves as a function of the energy E of the particle, the…

统计力学 · 物理学 2007-05-23 E. Cuansing , H. Nakanishi

We consider the transport properties of multiple-particle quantum states in a class of one-dimensional systems with a single quantum impurity. In these systems, the local interaction at the quantum impurity induces strong and non-trivial…

量子物理 · 物理学 2008-02-13 Jung-Tsung Shen , Shanhui Fan

We discuss electron scattering in a one-dimensional delta barrier potential with either time-dependent coupling constant (classical model) or a coupling constant that is linear in a boson coordinate (quantum model). We find an exact…

介观与纳米尺度物理 · 物理学 2015-06-24 T. Brandes , J. Robinson

Scattering on the ${\cal PT}$-symmetric Coulomb potential is studied along a U-shaped trajectory circumventing the origin in the complex $x$ plane from below. This trajectory reflects ${\cal PT}$ symmetry, sets the appropriate boundary…

量子物理 · 物理学 2009-07-01 Geza Levai , Petr Siegl , Miloslav Znojil

In this paper we show how rotational bands of resonances can be described by using trajectories of poles of the scattering amplitude in the complex angular momentum plane: each band of resonances is represented by the evolution of a single…

核理论 · 物理学 2009-11-10 E. De Micheli , G. A. Viano

We investigate the scattering of an electron by phonons in a small structure between two one-dimensional tight-binding leads. This model mimics the quantum electron transport through atomic wires or molecular junctions coupled to metallic…

强关联电子 · 物理学 2017-02-27 C. Brockt , E. Jeckelmann

We identify the poles and zeros of the scattering matrix of a simple quantum graph by means of systematic measurement and analysis of Wigner, transmission, and reflection complex time delays. We examine the ring graph because it displays…

无序系统与神经网络 · 物理学 2022-05-24 Lei Chen , Steven M. Anlage

In this work we exploit the integrability of the two-lead Anderson model to compute transport properties of a quantum dot, in and out of equilibrium. Our method combines the properties of integrable scattering together with a…

介观与纳米尺度物理 · 物理学 2009-11-07 Robert Konik , Hubert Saleur , Andreas Ludwig

We examine harmonic oscillator defects coupled to a photon field in the environs of an optical fiber. Using techniques borrowed or extended from the theory of two dimensional quantum fields with boundaries and defects, we are able to…

高能物理 - 理论 · 物理学 2008-11-26 Robert Konik , Andre LeClair

Quantum scattering is studied in a system consisting of randomly distributed point scatterers in the strip. The model is continuous yet exactly solvable. Varying the number of scatterers (the sample length) we investigate a transition…

介观与纳米尺度物理 · 物理学 2009-10-31 Robert Gebarowski , Petr Seba , Karol Zyczkowski , Jakub Zakrzewski

Quantum transport through left-right symmetric chaotic cavities in the presence of the symplectic symmetry, is studied through the statistical distribution of the dimensionless conductance. With this particular point symmetry, their…

介观与纳米尺度物理 · 物理学 2025-02-28 Felipe Castañeda-Ramírez , Moisés Martínez-Mares

Non-Hermitian operators are now routinely used to describe few-mode systems such as optical resonators and superconducting qubits, and exceptional points (EPs) are defective spectral singularities of such non-Hermitian operators. In…

量子物理 · 物理学 2026-05-27 Okuto Morikawa , Shoya Ogawa , Soma Onoda

We aim to characterise the spectral distributions of bi-infinite, semi-infinite, and finite aperiodic one-dimensional arrays of subwavelength resonators, constructed by sampling from a finite library of building blocks. By adopting the…

数学物理 · 物理学 2025-09-29 Habib Ammari , Clemens Thalhammer , Alexander Uhlmann