# Interferometric Quantum Cascade Systems

## TL;DR

This paper develops a theoretical framework for quantum cascade networks with interference effects, enabling the calculation of master equations for complex configurations using a collisional model, and demonstrates applications to interferometric setups.

## Contribution

It introduces a method to derive master equations for quantum cascade systems with arbitrary interference configurations using a collisional model, advancing the understanding of quantum network dynamics.

## Key findings

- Master equations for interferometric cascade systems are derived.
- Interference effects can be exploited to tune interactions between quantum nodes.
- Applications include Mach-Zender-like configurations and tunable three-node networks.

## Abstract

In this work we consider quantum cascade networks in which quantum systems are connected through unidirectional channels that can mutually interact giving rise to interference effects. In particular we show how to compute master equations for cascade systems in an arbitrary interferometric configuration by means of a collisional model. We apply our general theory to two specific examples: the first consists in two systems arranged in a Mach-Zender-like configuration; the second is a three system network where it is possible to tune the effective chiral interactions between the nodes exploiting interference effects.