NANOCHAOS · Chaotic nanometric devices: bifurcations, scars and quatizations

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Project objective

The goal of this project is to develop a semi-classical theory for quantum fluctuation statistics in open (i.e. scattering) systems that classically exhibit soft chaos; that is, for systems in which both regular and chaotic initial conditions coexist. In such systems a competition between the generic orbit bifurcations is believed to determine the long-range spectral correlations and wave-function correlations in the semi-classical (short wave-length) limit, and so to determine fluctuations in the transport properties (e.g. electron current). Open quantum systems are becoming increasingly accessible to controlled experiments, in the form of quantum dots, micro-lasers and microwave cavities for example. Previous theoretical approaches have been based on the unrealistic assumptions of complete chaos or integrability. A semi-classical description of conductance fluctuations which respects the fact that almost all systems exhibit soft chaos and so show bifurcation-dominated strong fluctuations is therefore expected to have a very significant impact on the field of nano-electronics.

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Participants

• UNIVERSITY OF BRISTOL · BRISTOL, CLIFTONCoordinatorUnited Kingdom

Links

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