Quantum Decoherence and the "P(E)-Theory"

TL;DR

This paper explores the similarities between electron tunneling and weak localization effects, emphasizing the role of the energy probability distribution function P(E) in both phenomena, especially its finite width at zero temperature due to interactions.

Contribution

It introduces a unified perspective on electron tunneling and weak localization by highlighting the formal and physical similarities involving P(E).

Findings

P(E) has a finite width at T=0 due to interactions.

Both phenomena can be described using the energy probability distribution function.

The paper establishes a formal analogy between tunneling and localization effects.

Abstract

We point out a close physical and formal similarity between the problems of electron tunneling in the effective environment and the weak localization effects in the presence of interactions. In both cases the results are expressed in terms of the ``energy probability distribution function'' $P(E)$ which has a finite width even at T=0 due to interactions.