Comparing entanglement and identity effects in tunnelling

TL;DR

This paper compares how entanglement and particle identity influence tunnelling probabilities in quantum systems, revealing significant differences and interference effects, especially at high momenta, with implications for quantum interference and exclusion principles.

Contribution

It provides a unified analysis of entanglement and identity effects in tunnelling, highlighting their differences and the role of quantum interference in a rectangular potential barrier.

Findings

Simultaneous tunnelling probabilities are significantly affected by entanglement and symmetry.

Differences between bosons and fermions are substantial in tunnelling behavior.

High momentum regimes show pronounced effects of superposition and particle identity.

Abstract

The probability of simultaneous tunnelling of two particles is modified when the system is in a non-separable state, either entangled or symmetrised. We compare both effects in the rectangular potential barrier by evaluating the transmission rates in superposition states. For large momenta, their simultaneous presence greatly changes the form of the transmission rates. The joint effects are much larger than the superposition ones. Moreover, there are significant differences between bosons and fermions. We present an unified view of the combined effects as a quantum interference phenomenon. The analysis also illustrates a novel aspect of exclusion in entangled systems, the existence of superposition states one of whose terms is forbidden by Pauli's principle.