# Scanning tunnelling microscopy for ultracold atoms

## TL;DR

This paper introduces a new experimental technique inspired by STM for ultracold atomic gases, enabling high-resolution local density and correlation measurements in optical lattices.

## Contribution

It proposes a novel probing method using coherent single-particle coupling, allowing real-time local density and correlation measurements in cold atom systems.

## Key findings

- Enables nanometer-scale local density measurements.
- Allows real-time access to single-particle correlation functions.
- Applicable to various phases of 2D Hubbard systems.

## Abstract

We propose a novel experimental probe for cold atomic gases analogous to the scanning tunnelling microscope (STM) in condensed matter. This probe uses the coherent coupling of a single particle to the system. Depending on the measurement sequence, our probe allows to either obtain the \emph{local} density, with a resolution on the nanometer scale, or the single particle correlation function in real time. We discuss applications of this scheme to the various possible phases for a two dimensional Hubbard system of fermions in an optical lattice.