We calculate the magnetic moment (‘persistent current’) in a strongly correlated electron system — a Wigner crystal — in a one-dimensional ballistic ring. The flux and temperature dependence of the persistent current in a perfect ring is shown to be essentially the same as for a system of non-interacting electrons. In contrast, by incorporating into the ring geometry a tunnel barrier that pins ...

We present new measurements of the perturber induced shift of the CH3I ionization energy at low perturber number densities and analyze these data within the local Wigner-Seitz model previously used at high density. We compare the local Wigner-Seitz model with the scattering approach developed by Fermi, and modified by Alekseev and Sobel’man, and show that the local Wigner-Seitz model extends sm...

We show the adaptation of a multifunctional optical system consisting of two spatial light modulators for the optimal measurement of the Radon-Wigner transform of one-dimensional signals. The proposed Radon-Wigner display allows reconstructing the Wigner distribution and the phase or the mutual intensity of fully or partially coherent fields, respectively. It is also suitable for the analysis o...

Basic computational aspects of the Wigner function approach for modeling and simulation of electronic transport are discussed, beginning with the coherent problem, followed by the dissipative problem including scattering events, which has been recently restated in terms of a scattering-induced Wigner function correction. These alternative formulations of the computational task are discussed alo...

Phase space representations have proven their value in classical mechanics and ever since the work of Wigner [1] in quantum mechanics as well. The map introduced by Wigner from state functions to quasi-probability functions is notable for two fundamental properties. The first reason it is notable relates to the fact that, in general, the Wigner quasi-probability function is not everywhere nonne...

The physics of interacting quantum wires has attracted a lot of attention recently. When the density of electrons in the wire is very low, the strong repulsion between electrons leads to the formation of a Wigner crystal. We review the rich spin and orbital properties of the Wigner crystal, in both the one-dimensional and the quasi-one-dimensional regimes. In the one-dimensional Wigner crystal ...

Cross-terms lie between two auto-components and are oscillatory, with their frequencies increasing with increasing distance in time-frequency between the two components. The cross-terms can have a peak value as high as twice that of the auto-components. A Wigner distribution of a two-component signal is shown in Figure 1. In this figure, it is easy to separate the auto-components from the cross...

We present an experimental realisation of the direct scheme for measuring the Wigner function of a single quantized light mode. In this method, the Wigner function is determined as the expectation value of the photon number parity operator for the phase space displaced quantum state. The Wigner function provides a complete representation of the quantum state in the form that is analogous to a c...