Field Theory Approach to Quantum Interference in Chaotic Systems

Abstract

We consider the spectral correlations of clean globally hyperbolic (chaotic) quantum systems. Field theoretical methods are applied to compute quantum corrections to the leading (`diagonal') contribution to the spectral form factor. Far-reaching structural parallels, as well as a number of differences, to recent semiclassical approaches to the problem are discussed.

18 pages, 4 figures, revised version, accepted for publication in J. Phys A (Math. Gen.)

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Cited by in corpus (8)

• Quantum Graphs: Applications to Quantum Chaos and Universal Spectral Statistics
• Periodic-Orbit Theory of Universality in Quantum Chaos
• Periodic-orbit theory of universal level correlations in quantum chaos
• Ehrenfest time in the weak dynamical localization
• Semiclassical theory of the Ehrenfest-time dependence of quantum transport
• The spectral form factor near the Ehrenfest-time
• Universal spectral correlations from the ballistic sigma model
• Deterministic Weak Localization in Periodic Structures