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Quantum irreversibility, perturbation independent decay, and the parametric theory of the local density of states

2001/11/30 by Diego A. Wisniacki, Doron Cohen · 2 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Mechanics and Applications #Quantum chaos and dynamical systems #cond-mat #nlin.CD #quant-ph

paper · pdf · doi:10.1103/physreve.66.046209

published as Phys. Rev. E 66, 046209 (2002) · 7 pages, 2 figures, published version

openalex publication_date 2002/10/17 · arxiv created 2002/11/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The idea of perturbation independent decay (PID) has appeared in the context of survival-probability studies, and lately has emerged in the context of quantum irreversibility studies. In both cases the PID reflects the Lyapunov instability of the underlying semiclassical dynamics, and it can be distinguished from the Wigner-type decay that holds in the perturbative regime. The theory of the survival probability is manifestly related to the parametric theory of the local density of states (LDOS). In this Paper we demonstrate that in spite of the common "ideology", the physics of quantum irreversibility is \em not trivially related to the parametric theory of the LDOS. Rather, it is essential to take into account subtle cross correlations which are not captured by the LDOS alone.

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