The adiabatic approximation and reaction-coordinate method is applied to the quasiclassical description of nanostructures. In a two-electron model quantum dot, the Schrödinger equation is solved in the vicinity of the transition path connecting two equivalent potential-energy minima. The obtained results demonstrate the formation of a Wigner crystallite.
We present experimental and numerical studies for level statistics in incomplete spectra obtained with microwave networks simulating quantum chaotic graphs with broken time reversal symmetry. We demonstrate that, if resonance frequencies are randomly removed from the spectra, the experimental results for the nearest-neighbor spacing distribution, the spectral rigidity and the average power spectrum are in good agreement with theoretical predictions for incomplete sequences of levels of systems with broken time reversal symmetry.
Finding signs of the classical-quantum border is a very important task of perennial interest. We show, using semiclassical arguments, that the frontier between the classical and quantum domains can be characterized by recourse to idiosyncratic features of a delimiter parameter associated with the concepts of i) noise) ii) Husimi distribution functions, iii) Wherl’s entropy, and iv) escort distributions.
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.