Characterization of Bose-Hubbard Models with Quantum Non-demolition Measurements

TL;DR

This paper introduces a non-demolition measurement approach using quantum polarization spectroscopy to detect quantum phase transitions in 1D Bose-Hubbard models, providing a new experimental tool for characterizing different quantum phases.

Contribution

It presents a novel scheme employing collective measurements of angular momentum to identify phase transitions in Bose-Hubbard models, extending to super-lattice deformations.

Findings

Successful detection of Mott insulator to superfluid transition.

Identification of density wave states in extended Bose-Hubbard models.

Application to various super-lattice configurations.

Abstract

We propose a scheme for the detection of quantum phase transitions in the 1D Bose-Hubbard (BH) and 1D Extended Bose-Hubbard (EBH) models, using the non-demolition measurement technique of quantum polarization spectroscopy. We use collective measurements of the effective total angular momentum of a particular spatial mode to characterise the Mott insulator to superfluid phase transition in the BH model, and the transition to a density wave state in the EBH model. We extend the application of collective measurements to the ground states at various deformations of a super-lattice potential.