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Related Experiment Video

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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

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Fractal dynamics in chaotic quantum transport.

V Kotimäki¹, E Räsänen, H Hennig

¹Nanoscience Center, Department of Physics, University of Jyväskylä, FI-40014 Jyväskylä, Finland.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|September 17, 2013

Summary

This summary is machine-generated.

This study presents the first real-space, real-time quantum transport simulations of chaotic dynamics in a 2D stadium cavity. The findings reveal fractal scaling in magnetoconductance, validated by detrended fluctuation analysis.

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Area of Science:

Quantum physics
Condensed matter physics
Computational physics

Background:

Chaotic quantum transport in 2D systems like semiconductor quantum dots has been experimentally studied.
Real-space quantum simulations of these phenomena have remained a significant challenge.

Purpose of the Study:

To perform quantum transport calculations in real space and real time for a 2D stadium cavity exhibiting chaotic dynamics.
To investigate the magnetoconductance properties and fractal scaling in this system.

Main Methods:

Utilized real-space, real-time quantum transport simulations.
Applied a range of magnetic fields to analyze magnetoconductance.
Employed detrended fluctuation analysis (DFA) for fractality calculations.
Compared DFA results with a standard fractal dimension extraction method.

Main Results:

Obtained a comprehensive picture of magnetoconductance.
Demonstrated fractal scaling in the magnetoconductance data.
Showcased the effectiveness of DFA in interpreting conductance curves.
Achieved results consistent with previous experimental data.

Conclusions:

Successfully simulated chaotic quantum transport in a 2D stadium cavity using a real-space model.
Confirmed fractal scaling in magnetoconductance, highlighting the utility of DFA.
The simulation results align qualitatively with existing experimental findings.