From Cooper pairs to Luttinger liquids with bosonic atoms in optical lattices

TL;DR

This paper proposes a method to observe strongly correlated fermionic phenomena, such as pairing and Luttinger liquids, using bosonic atoms in optical lattices, supported by numerical simulations and detection strategies.

Contribution

It introduces a scheme to realize and detect fermionic-like correlated phases with bosonic atoms in optical lattices, expanding experimental possibilities.

Findings

Identification of parameter ranges for pairing and Luttinger liquid behavior

Numerical validation of the predicted phenomena

Proposed detection methods for atomic pairing

Abstract

We propose a scheme to observe typical strongly correlated fermionic phenomena with bosonic atoms in optical lattices. For different values of the sign and strength of the scattering lengths it is possible to reach a "superconducting" regime, where the system exhibits atomic pairing, or a Luttinger liquid behavior. We identify the range of parameters where these phenomena appear, illustrate our predictions with numerical calculations, and show how to detect the presence of pairing.