Tailoring the correlation and anti-correlation behavior of path-entangled photons in Glauber-Fock oscillator lattices
Armando Perez-Leija, Robert Keil, Alexander Szameit, Ayman F., Abouraddy, Hector Moya-Cessa, and Demetrios N. Christodoulides

TL;DR
This paper explores how Glauber-Fock oscillator lattices can be engineered to control the correlation and anti-correlation behaviors of path-entangled photons, enabling phenomena like revivals, Bloch oscillations, and emulation of fermionic behavior.
Contribution
It introduces a new class of optical lattices where photon correlations can be precisely tailored, expanding capabilities for quantum photonic simulations.
Findings
Single-photon and biphoton revivals demonstrated
Control over bunching and anti-bunching responses achieved
Potential to emulate fermionic behavior in optical lattices
Abstract
We demonstrate that single-photon as well as biphoton revivals are possible in a new class of dynamic optical systems-the so-called Glauber-Fock oscillator lattices. In these arrays, both Bloch-like oscillations and dynamic delocalization can occur which can be described in closed form. The bunching and anti-bunching response of path-entangled photons can be pre-engineered in such coupled optical arrangements and the possibility of emulating Fermionic behavior in this family of lattices is also considered. We elucidate these effects via pertinent examples and we discuss the prospect of experimentally observing these quantum interactions.
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