Exchange-assisted tunneling in the classical limit

TL;DR

This paper investigates how exchange interactions influence tunneling behavior, showing that exchange-assisted tunneling diminishes in the classical limit with a unique dependence on Planck's constant, contrasting with standard tunneling.

Contribution

It reveals the distinct Planck constant dependence of exchange-assisted tunneling and its vanishing in the classical limit, expanding understanding of many-body quantum effects.

Findings

Exchange-assisted tunneling exhibits a different Planck constant dependence than single-particle tunneling.

Exchange-assisted tunneling vanishes as the system approaches the classical limit.

The decay of the wave function under a potential barrier can follow a power-law due to exchange interactions.

Abstract

The exchange interaction and correlations may produce a power-law decay instead of the usual exponential decrease of the wave function under potential barrier. The exchange-assisted tunneling vanishes in the classical limit, however, the dependence on the Planck constant h is different from that for a conventional single-particle tunneling.