Abstract Local topological markers are effective tools for determining the properties of both homogeneous and inhomogeneous systems. The Chern marker is an established that has previously been shown to effectively reveal 2D In previous work a was developed can be applied 1D time-dependent systems which used explore their properties, like charge pumping under presence disorder. this paper, we show...

We develop a multichannel scattering theory for atom-atom collisions in quasi-1D geometries. We apply our general framework to the low energy scattering of two spin-polarized fermions and show that tightly confined fermions have infinitely strong interactions at a particular value of the 3D, free-space p-wave scattering volume. Moreover, we describe a mapping of this strongly interacting system...

Hidden Markov models are well-known methods for image processing. They are used in many areas where 1D data are processed. In the case of 2D data, there appear some problems with application HMM. There are some solutions, but they convert input observation from 2D to 1D, or create parallel pseudo 2D HMM, which is set of 1D HMMs in fact. This paper describes authentic 2D HMM with two-dimensional...

Low-temperature photoluminescence-excitation spectra are studied in an n-type modulation-doped T-shaped single quantum wire with a gate to tune electron densities. With a nondegenerate one-dimensional (1D) electron gas, the band-edge absorption exhibits a sharp peak structure induced by the 1D density of states. When the dense 1D electron gas is degenerate at a low temperature, we observe a Fer...

We use the Kramers-Heisenberg approach to derive a general expression for the resonant Raman scattering cross section from a one-dimensional 1D system explicitly accounting for excitonic effects. The result should prove useful for analyzing the Raman resonance excitation profile line shapes for a variety of 1D systems including carbon nanotubes and semiconductor quantum wires. We apply this for...

Explicit relation between Laughlin state of the quantum Hall effect and onedimensional(1D) model with long-ranged interaction (1/r) is discussed. By rewriting lowest Landau level wave functions in terms of 1D representation, Laughlin state can be written as a deformation of the ground state of Calogero-Sutherland model. Corresponding to Laughlin state on different geometries, different types of...