Quantum sensing with driven-dissipative Su-Schrieffer-Heeger lattices

The remarkable sensitivity of non-Hermitian systems has been extensively studied and stimulated ideas about developing new types of sensors. In this paper, we examine a chain of parametrically driven coupled resonators governed by the squeezed Su-Schrieffer-Heeger model. We emphasize the qualitative difference in sensor performance between configurations depending on bulk topology and boundary modes, specifically for detecting both on-site and non-Hermitian skin effect perturbations. Our analysis goes beyond the scenario of infinitesimal perturbations, extending to arbitrary perturbation strengths beyond the linear response regime. We stress the importance of optimizing the system's parameters to achieve quantum enhancement while avoiding fine-tuned regimes that could limit the practical applicability of this system for real-world quantum sensing.