Cavity-enhanced detection of magnetic orders in lattice spin models

TL;DR

This paper proposes a cavity-based method to detect and distinguish magnetic phases in two-component lattice bosons, enabling experimental identification of antiferromagnetic, ferromagnetic, and XY phases through cavity photon measurements.

Contribution

It introduces a general scheme using cavity transmission spectra to identify magnetic orders in two-component lattice bosons, applicable with current cold atom setups.

Findings

Different magnetic phases produce distinct cavity photon numbers.

The method can distinguish antiferromagnetic, ferromagnetic, and XY phases.

The approach is feasible with existing experimental technology.

Abstract

We develop a general scheme for detecting spin correlations inside a two-component lattice gas of bosonic atoms, stimulated by the recent theoretical and experimental advances on analogous systems for a single component quantum gas. Within a linearized theory for the transmission spectra of the cavity mode field, different magnetic phases of a two-component (spin 1/2) lattice bosons become clearly distinguishable. In the Mott-insulating (MI) state with unit filling for the two-component lattice bosons, three different phases: antiferromagnetic, ferromagnetic, and the XY phases are found to be associated with drastically different cavity photon numbers. Our suggested study can be straightforwardly implemented with current cold atom experiments.