Quantum measurement-induced antiferromagnetic order and density modulations in ultracold Fermi gases in optical lattices

TL;DR

This paper demonstrates how weak quantum measurement backaction can induce antiferromagnetic order and density modulations in ultracold Fermi gases, enabling the creation of correlated quantum states without strong interactions.

Contribution

It introduces a method to generate long-range correlations in ultracold fermions via measurement backaction, bypassing the need for strong interatomic interactions.

Findings

Quantum backaction induces antiferromagnetic order.

Density modulations are achieved through measurement.

Long-range correlations require global measurement effects.

Abstract

Ultracold atomic systems offer a unique tool for understanding behavior of matter in the quantum degenerate regime, promising studies of a vast range of phenomena covering many disciplines from condensed matter to quantum information and particle physics. Coupling these systems to quantized light fields opens further possibilities of observing delicate effects typical of quantum optics in the context of strongly correlated systems. Measurement backaction is one of the most fundamental manifestations of quantum mechanics and it is at the core of many famous quantum optics experiments. Here we show that quantum backaction of weak measurement can be used for tailoring long-range correlations of ultracold fermions, realizing quantum states with spatial modulations of the density and magnetization, thus overcoming usual requirement for a strong interatomic interactions. We propose detection schemes for implementing antiferromagnetic states and density waves. We demonstrate that such long-range correlations cannot be realized with local addressing, and they are a consequence of the competition between global but spatially structured backaction of weak quantum measurement and unitary dynamics of fermions.