Momentum-Resolved and Correlations Spectroscopy Using Quantum Probes

TL;DR

This paper proposes a quantum probe-based protocol for momentum-resolved spectroscopy and correlation measurements in many-body lattice models, demonstrating its effectiveness on solvable models with robustness to noise.

Contribution

It introduces a novel quantum probe protocol for momentum and correlation spectroscopy applicable to many-body systems, validated on exactly solvable models.

Findings

Successful momentum-resolved spectroscopy with a single probe

Extraction of two-point correlations using entangled probes

Robustness of the method against external noise

Abstract

We address some key conditions under which many-body lattice models, intended mainly as simulated condensed matter systems, can be investigated via immersed, fully controllable quantum objects, namely quantum probes. First, we present a protocol that, for a certain class of many-body systems, allows for full momentum resolved spectroscopy using one single probe. Furthermore, we demonstrate how one can extract the two-point correlations using two entangled probes. We apply our theoretical proposal to two well-known exactly solvable lattice models, a 1D Kitaev chain and 2D superfluid Bose-Hubbard model, and show its accuracy as well as its robustness against external noise.