Statistics of resonance and non-resonance tunnelling of fermionised cold atoms

TL;DR

This paper investigates how strong contact interactions influence the tunnelling statistics of fermionised cold atoms, revealing that resonance conditions can alter particle statistics while non-resonant tunnelling remains unaffected.

Contribution

It demonstrates that short-range interactions can modify tunnelling statistics under resonance conditions, a novel insight into quantum tunnelling behavior of cold atoms.

Findings

Resonance tunnelling can change particle statistics due to interactions.

Non-resonance tunnelling remains unaffected by interactions.

No significant delay observed in non-resonant tunnelling.

Abstract

We show that a short-range strong repulsive (contact) interaction between the particles in the barrier may change the statistics of two-particle tunnelling. In the case of a resonance of a width $\Gamma$, the effect would be observed if the time between the two impacts is of order of $\hbar/\Gamma$. The statistics of non-resonance tunnelling across a broad potential barrier remain unaffected, which suggests that there is no appreciable delay in the classically forbidden region.