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Semiclassical Theory for Parametric Correlation of Energy Levels

Taro Nagao·Petr Braun·Sebastian Müller·Keiji Saito·Stefan Heusler·Fritz Haake
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Abstract

Parametric energy-level correlation describes the response of the energy-level statistics to an external parameter such as the magnetic field. Using semiclassical periodic-orbit theory for a chaotic system, we evaluate the parametric energy-level correlation depending on the magnetic field difference. The small-time expansion of the spectral form factor $K(τ)$ is shown to be in agreement with the prediction of parameter dependent random-matrix theory to all orders in $τ$.

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Taro Nagao, Petr Braun, Sebastian Müller, Keiji Saito, Stefan Heusler, Fritz Haake. 2006-07-30. Semiclassical Theory for Parametric Correlation of Energy Levels. https://doi.org/10.1088/1751-8113%2F40%2F1%2F003

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