Optical realization of the two-site Bose-Hubbard model in waveguide lattices

TL;DR

This paper proposes a classical optical system using waveguide lattices to simulate and visualize the dynamics of the two-site Bose-Hubbard model, enabling direct observation of quantum many-body phenomena.

Contribution

It introduces a novel optical implementation of the Bose-Hubbard model, allowing classical simulation and visualization of quantum dynamics in Fock space.

Findings

Optical waveguide lattices can simulate Bose-Hubbard dynamics.

Direct visualization of quantum states in Fock space is possible.

The approach bridges classical optics and quantum many-body physics.

Abstract

A classical realization of the two-site Bose-Hubbard Hamiltonian, based on light transport in engineered optical waveguide lattices, is theoretically proposed. The optical lattice enables a direct visualization of the Bose-Hubbard dynamics in Fock space.