Non-Markovian renormalization of optomechanical exceptional points
arXiv:2603.22130 · doi:10.1103/pn7p-yb5r
The paper studies how memory effects from a non‑Markovian mechanical environment shift the location of exceptional points in driven optomechanical systems and alter observable signatures such as the Petermann factor and transparency dip.
Abstract
We investigate how non-Markovian mechanical dissipation affects exceptional points in linearized optomechanical systems with red-sideband drive. For a chosen non-Ohmic mechanical bath, we derive analytical conditions for the memory-renormalized exceptional point by employing a pseudomode mapping, thereby demonstrating that structured environments displace the mode coalescence away from the Markovian prediction. Crucially, we reveal that failing to account for this memory-induced shift suppresses the divergent Petermann factor by orders of magnitude, showing that accurate bath modeling is essential for the successful operation of exceptional-point-based devices whenever reservoir-induced memory is non-negligible. We finally show that non-Markovianity modifies the cavity reflection spectrum, manifesting as a shallower optomechanically-induced-transparency dip, providing therefore an experimentally-accessible signature of structured mechanical environments.
v2: Revised version accepted in PRA