Quantum Simulation of Anderson Localization with Integrated Photonics

Mattia Verducci
April 9th, 2018 MATTIA VERDUCCI University “La Sapienza“, Rome

In this work we treated a promising application of quantum computation, that is the quantum simulation. The complex quantum phenomenon we want to study is Anderson Localization: we simulated this effect by means of a quantum walk of two correlated photons, thus implementing a photonic quantum simulator.

The purpose of the experiment is to observe how the photon output joint probability (the probability of finding one photon in a site and the other in another site, or even the same, after the quantum walk) is affected by the noise, and then by Anderson localization. Using a polarization-entangled state we can simulate this effect for fermionic or bosonic particles, in order to study the competition between localization and particle statistics. The innovation of our work consists in the possibility to exploit the ergodicity of the system to probe different noise patterns and then, averaging over many realizations, simulate a longer quantum walk, thus achieving a complete Anderson localization. This possibility is allowed by means of integrated photonics, in particular thanks to femtosecond laser writing technique. Results shown in this thesis show that our setup is able to catch Anderson localization for bosons or fermions and first measurements that prove a principle of localization are reported.

Seminar, April 9, 2018, 15:00. ICFO’s Seminar Room

Hosted by Prof. Valerio Pruneri