Interferometric modulation of quantum cascade interactions
Stefano Cusumano, Andrea Mari, Vittorio Giovannetti

TL;DR
This paper explores how to engineer and control many-body quantum interactions in dissipative systems using interferometric setups, enabling tailored quantum dynamics through interference effects.
Contribution
It derives a general master equation for symmetric cascade networks and demonstrates how interferometer parameters can be tuned to create diverse many-body interactions.
Findings
Derived a master equation for translation-invariant cascade networks.
Showed how interferometer tuning can engineer specific many-body interactions.
Illustrated the potential for interference-based control of quantum systems.
Abstract
We consider many-body quantum systems dissipatively coupled by a cascade network, i.e. a setup in which interactions are mediated by unidirectional environmental modes propagating through a linear optical interferometer. In particular we are interested in the possibility of inducing different effective interactions by properly engineering an external dissipative network of beam-splitters and phase-shifters. In this work we first derive the general structure of the master equation for a symmetric class of translation-invariant cascade networks. Then we show how, by tuning the parameters of the interferometer, one can exploit interference effects to tailor a large variety of many-body interactions.
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