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A quasiclassical approach to strongly correlated quantum dots

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Matulis A., Jarema D., Anisimovas E.
Open Physics
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2009
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vol. 7
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issue 4
704-710
EN
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.
2
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Analysis of Missing Level Statistics for Microwave Networks Simulating Quantum Chaotic Graphs Without Time Reversal Symmetry - the Case of Randomly Lost Resonances

100%
Ławniczak M., Białous M., Yunko V., Bauch S., Dietz B., Sirko L.
Acta Physica Polonica A
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2017
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vol. 132
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issue 6
1672-1676
EN
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.
3
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Statistical, noise-related non-classicality’s indicator

100%
Pennini F., Plastino A., Ferri G.
Open Physics
|
2009
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vol. 7
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issue 3
624-629
EN
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.
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