Semiclassical properties of eigenfunctions and occupation number distribution for a model of two interacting particles

Abstract

Quantum-classical correspondence for the shape of eigenfunctions, local spectral density of states and occupation number distribution is studied in a chaotic model of two coupled quartic oscillators. In particular, it is shown that both classical quantities and quantum spectra determine global properties of occupation numbers and inverse participation ratio.

11 pages, elsevier style, 4 ps figures

References in corpus (6)

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• Statistical Theory of Finite Fermi-Systems Based on the Structure of Chaotic Eigenstates
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• Chaos and Thermalization in a Dynamical Model of Two Interacting Particles
• Quantum-Classical Correspondence in Energy Space: Two Interacting Spin-Particles
• Properties of low-lying states in a diffusive quantum dot and Fock-space localization

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• From Chaos to Disorder in Quasi-1D Billiards with Corrugated Surfaces
• Parametric invariant Random Matrix Model and the emergence of multifractality
• Quantum-classical correspondence of strongly chaotic many-body spin models
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• The twilight zone in the parametric evolution of eigenstates: beyond perturbation theory and semiclassics
• Distribution of local density of states in superstatistical random matrix theory
• Anomalously Slow Cross Symmetry Phase Relaxation, Thermalized Non-Equilibrated Matter and Quantum Computing Beyond the Quantum Chaos Border
• Eigenstate Thermalization Hypothesis and Random Matrix Theory Universality in Few-Body Systems