# Anyon optics with time-of-flight two-particle interference of double-well-trapped interacting ultracold atoms

## TL;DR

This paper explores how ultracold atoms in double-well traps can be used to emulate anyonic particles, with theoretical predictions for interference patterns that could enable experimental detection of anyonic statistics.

## Contribution

It introduces a theoretical framework for observing anyonic statistics through second-order momentum correlations in ultracold atoms, extending quantum optics biphoton interferometry concepts.

## Key findings

- Theoretical predictions of second-order momentum correlation maps for anyons.
- Proposal for experimental detection of anyonic statistics via time-of-flight interference.
- Extension of biphoton interferometry principles to massive particles.

## Abstract

The subject of bianyon interference with ultracold atoms is introduced through theoretical investigations pertaining to the second-order momentum correlation maps of two anyons (built upon spinless and spin-1/2 bosonic, as well as spin-1/2 fermionic ultracold atoms) trapped in a double-well optical trap. The two-particle system is modeled according to the recently proposed protocols for emulating an anyonic Hubbard Hamiltonian in ultracold-atom one-dimensional lattices. Because the second-order momentum correlations are mirrored in the time-of-flight second-order interference patterns in space, our findings provide impetus for time-of-flight experimental protocols for detecting anyonic statistics via interferometry measurements of massive particles that broaden the scope of the biphoton interferometry of quantum optics.