Interferometric Approach to Open Quantum Systems and Non-Markovian Dynamics

We combine the dynamics of open quantum systems with interferometry and interference introducing the concept of open system interferometer. By considering a single photon in a Mach-Zehnder interferometer, where the polarization (open system) and frequency (environment) of the photon interact, we theoretically show how inside the interferometer path-wise polarization dephasing dynamics is Markovian while the joint dynamics displays non-Markovian features. Outside the interferometer and due to interference, the open system displays rich dynamical features with distinct alternatives: Only one path displaying non-Markovian memory effects, both paths individually displaying them, or no memory effects appearing at all. Our results also illustrate that measuring the photon's path can either create or destroy non-Markovian memory effects depending on whether the measurement takes place in or outside the interferometer. Moreover, the scheme allows to probe the optical path difference inside the interferometer by studying non-Markovianity outside the interferometer. With our framework and interference, it is also possible to introduce dissipative features for the open system dynamics even though the system-environment interaction itself contains only dephasing. In general, the results open so far unexplored avenues to control open system dynamics and for fundamental studies of quantum physics.