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Phase-Space Approach to the Position-Momentum Correlations of the Conduction Electron States in a Double-Barrier Resonant Nanosystem

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Kaczor U., Wołoszyn M., Spisak B.

Acta Physica Polonica A

2017

vol. 132

issue 1

106-108

The phase-space formulation of quantum mechanics based on the Wigner distribution function is applied to investigate the influence of the scattering processes on the electronic position-momentum correlations in the resonant-tunnelling nanosystem.

Fluctuations and Correlations in Scattering on a Resonance Coupled to a Chaotic Background

84%

Savin D.

Acta Physica Polonica A

2017

vol. 132

issue 6

1688-1694

We discuss and briefly overview recent progress with studying fluctuations in scattering on a resonance state coupled to the background of many chaotic states. Such a problem arises naturally, e.g., when dealing with wave propagation in the presence of a complex environment. Using a statistical model based on random matrix theory, we obtain a number of nonperturbative results for various statistics of scattering characteristics. This includes the joint and marginal distributions of the reflection and transmission intensities and phases, which are derived exactly at arbitrary coupling to the background with finite absorption. The intensities and phases are found to exhibit highly non-trivial statistical correlations, which remain essential even in the limit of strong absorption. In the latter case, we also consider the relevant approximations and their accuracy. As an application, we briefly discuss the statistics of the phase rigidity (or mode complexness) in such a scattering situation.

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2 Acta Physica Polonica A

2 2017

1 Kaczor U.

1 Savin D.

1 Spisak B.

1 Wołoszyn M.

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Phase-Space Approach to the Position-Momentum Correlations of the Conduction Electron States in a Double-Barrier Resonant Nanosystem

Fluctuations and Correlations in Scattering on a Resonance Coupled to a Chaotic Background