A duality relation extracts classical periodic orbits from the quantum spectrum of many-body systems like the kicked spin chain, with spectral statistics analyzed for coupled cat maps in the large semiclassical and particle-number limit.
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Didactic derivation of Gutzwiller's trace formula from the path integral, with overview of its use in explaining random matrix theory statistics for quantum energy levels.
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The role of classical periodic orbits in quantum many-body systems
A duality relation extracts classical periodic orbits from the quantum spectrum of many-body systems like the kicked spin chain, with spectral statistics analyzed for coupled cat maps in the large semiclassical and particle-number limit.
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Semiclassical periodic-orbit theory for quantum spectra
Didactic derivation of Gutzwiller's trace formula from the path integral, with overview of its use in explaining random matrix theory statistics for quantum energy levels.