# Perfect transmission of Higgs modes via antibound states

## TL;DR

This paper investigates how Higgs modes in superfluid Bose gases can transmit perfectly through potential barriers via resonance with antibound states, revealing conditions for perfect transmission and localization.

## Contribution

It demonstrates that Higgs modes exhibit perfect transmission through weak barriers due to resonance with antibound states, a novel insight into their tunneling behavior.

## Key findings

- Perfect transmission occurs at weak barrier strengths.
- Localized Higgs bound states form at strong barriers.
- Resonance with antibound states mediates perfect transmission.

## Abstract

We study tunneling properties of Higgs modes in superfluid Bose gases in optical lattices in the presence of a potential barrier introduced by local modulation of hopping amplitude. Solving the time-dependent Ginzburg-Landau equation, Higgs modes are found to exhibit perfect transmission through a potential barrier if the barrier strength is weak. There exists, on the other hand, localized Higgs bound states in the presence of a strong potential barrier. We find that the perfect transmission disappears at the critical barrier strength above which one of the odd antibound state turns into a true bound state. We demonstrate that the perfect transmission of Higgs modes is mediated by resonance with the antibound states of Higgs modes.