Universality and quantized response in bosonic nonfractionalized tunneling

TL;DR

This paper reveals universal tunneling features in bosonic wires and edges, including quantized ratios and conductance relations, which differ from fermionic systems and are testable with ultracold bosons.

Contribution

It identifies universal and quantized tunneling phenomena in bosonic systems, expanding understanding beyond fermionic counterparts.

Findings

Universal high versus zero energy conductance relation

Quantized current imbalance to chemical potential ratio

Potential realization with ultracold bosons in Harper-Hofstadter bands

Abstract

We show that tunneling involving bosonic wires and/or boson integer quantum Hall (bIQH) edges is characterized by universal features which are absent in their fermionic counterparts. Considering a pair of minimal geometries, we find a low energy enhancement and a universal high versus zero energy relation for the tunnel conductance that holds for all wire/bIQH edge combinations. Features distinguishing bIQH edges include a current imbalance to chemical potential bias ratio that is quantized despite the lack of conductance quantization in the bIQH edges themselves. The predicted phenomena require only initial states to be thermal and thus are well suited for tests with ultracold bosons forming wires and bIQH states. For the latter, we highlight a potential realization based on single component bosons in the recently observed Harper-Hofstadter bandstructure.