Anyonic Josephson junctions: Dynamical and ground-state properties

TL;DR

This paper investigates the properties of an anyonic Josephson junction, constructed using density-dependent hopping in a lattice, revealing novel dynamical behaviors and ground-state characteristics through numerical analysis.

Contribution

It introduces a new model of an anyonic Josephson junction with a Mott-insulator barrier, exploring its ground state and dynamical properties using advanced numerical methods.

Findings

Continuous particle flow can be achieved without external bias.

The Josephson effect persists in strongly correlated regimes.

Initial phase difference can induce sustained current.

Abstract

Bosons with density-dependent hopping on a one dimensional lattice have been shown to emulate anyonic particles with fractional exchange statistics. Leveraging this, we construct a Josephson junction setup, where an insulating barrier in the form of a Mott-insulator is sandwiched between two superfluid phases. This is obtained by spatially varying either the statistical phase or the strength of the on-site interaction potential on which the ground state of the system depends. Utilizing numerical methods such as exact diagonalization and density renormalization group theory, the ground state properties of this setup are investigated to understand the Josephson effect in a strongly correlated regime. The dynamical properties of this model for different configurations of this model are analyzed to find the configurations that can produce the Josephson effect. Furthermore, it is observed that continuous particle flow over time is achievable in this proposed model solely by creating an initial phase difference without any external biasing.