Internal chaos in an open quantum system: From Ericson to conductance fluctuations

TL;DR

This paper investigates how intrinsic chaos and decay processes in open quantum systems influence scattering cross sections, revealing generic features relevant to mesoscopic conductance fluctuations and nuclear reactions.

Contribution

It introduces a model combining one-body and many-body chaos with continuum coupling, analyzing correlations of cross sections in open Fermi-systems.

Findings

Cross section correlations depend on coupling strength and internal chaos.

Results are applicable to mesoscopic conductance fluctuations.

Findings are relevant to resonance nuclear reactions.

Abstract

The model of an open Fermi-system is used for studying the interplay of intrinsic chaos and irreversible decay into open continuum channels. Two versions of the model are characterized by one-body chaos coming from disorder or by many-body chaos due to the inter-particle interactions. The continuum coupling is described by the effective non-Hermitian Hamiltonian. Our main interest is in specific correlations of cross sections for various channels in dependence on the coupling strength and degree of internal chaos. The results are generic and refer to common features of various mesoscopic objects including conductance fluctuations and resonance nuclear reactions.