Semiclassical theory for parametric correlation of energy levels

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

doi:10.1088/1751-8113/40/1/003

Semiclassical theory for parametric correlation of energy levels

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

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

Parametric energy-level correlation describes the response of the energylevel 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 themagnetic field difference. The small-time expansion of the spectral form factor K(T) is shown to be in agreement with the prediction of parameter dependent random matrix theory to all orders in T.

Original language	English
Pages (from-to)	47-63
Number of pages	17
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	40
Issue number	1
DOIs	https://doi.org/10.1088/1751-8113/40/1/003
Publication status	Published - 2007 Jan 5
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Modelling and Simulation
Mathematical Physics
Physics and Astronomy(all)

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AU - Braun, Petr

AU - Müller, Sebastian

AU - Saito, Keiji

AU - Heusler, Stefan

AU - Haake, Fritz

PY - 2007/1/5

Y1 - 2007/1/5

N2 - Parametric energy-level correlation describes the response of the energylevel 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 themagnetic field difference. The small-time expansion of the spectral form factor K(T) is shown to be in agreement with the prediction of parameter dependent random matrix theory to all orders in T.

AB - Parametric energy-level correlation describes the response of the energylevel 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 themagnetic field difference. The small-time expansion of the spectral form factor K(T) is shown to be in agreement with the prediction of parameter dependent random matrix theory to all orders in T.

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Semiclassical theory for parametric correlation of energy levels

Abstract

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