2001/02/17 by V. V. Flambaum, F. M. Izrailev · 2 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum chaos and dynamical systems #Quantum many-body systems #cond-mat.stat-mech #nlin.CD #nucl-th #physics.atom-ph #quant-ph
paper · pdf · doi:10.1103/physreve.64.026124
published as Phys.Rev.E64:026124,2001 · RevTex, 4 pages including 1 eps-figure
arxiv created 2001/02/17 · openalex publication_date 2001/07/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the time evolution of an initially excited many-body state in a finite system of interacting Fermi particles in the situation when the interaction gives rise to the "chaotic" structure of compound states. This situation is generic for highly excited many-particle states in quantum systems such as heavy nuclei, complex atoms, quantum dots, spin systems, and quantum computers. For a strong interaction the leading term for the return probability W(t) has the form W(t) approximately exp(-Delta(2)(E)t(2)) with Delta(2)(E) as the variance of the strength function. The conventional exponential linear dependence W(t)=C exp(-Gammat) formally arises for a very larger time. However, the prefactor C turns out to be exponentially large, thus resulting in a strong difference from the conventional estimate for W(t).