Interaction-induced first order correlation between spatially-separated 1D dipolar fermions

TL;DR

This paper investigates how long-range dipolar interactions induce a spontaneous correlation between spatially-separated 1D fermionic tubes, significantly affecting interference patterns observable in experiments.

Contribution

It demonstrates that dipolar interactions can generate first-order correlations between separated fermionic tubes without tunneling, using Luttinger liquid theory and DMRG calculations.

Findings

Interaction induces correlation at a magic angle

Correlation enhances interference fringe contrast

Observable in time-of-flight experiments

Abstract

We calculate the ground-state properties of fermionic dipolar atoms or molecules in a one-dimensional double-tube potential by using the Luttinger liquid theory and the density matrix renormalization-group calculation. When the external field is applied near a magic angle with respect to the double-tube plane, the long-ranged dipolar interaction can generate a spontaneous correlation between fermions in different tubes, even when the bare intertube tunneling rate is negligibly small. Such interaction-induced correlation strongly enhances the contrast of the interference fringes and therefore can be easily observed in the standard time-of-flight experiment.