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.
Gutzwiller,Chaos in Classical and Quantum Mechanics, Springer, New Y ork (1990)
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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.