Topological sensing of superfluid rotation using non-Hermitian optical dimers

• URL: http://arxiv.org/abs/2601.04749v1
• Date: Thu, 08 Jan 2026 09:14:31 GMT
• Title: Topological sensing of superfluid rotation using non-Hermitian optical dimers
• Authors: Aritra Ghosh, Nilamoni Daloi, M. Bhattacharya,
• Abstract summary: We study a non-Hermitian optical dimer whose parameters are renormalized by dispersive and dissipative backaction.<n>We propose a digital exceptional-point-based sensing scheme based on eigenmode permutation.
• Score: 3.7723788828505125
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We theoretically investigate a non-Hermitian optical dimer whose parameters are renormalized by dispersive and dissipative backaction from the coupling of the passive cavity with a ring-trapped Bose-Einstein condensate. The passive cavity is driven by a two-tone control laser, where each tone is in a coherent superposition of Laguerre-Gaussian beams carrying orbital angular momenta $\pm \ell \hbar$. This imprints an optical lattice on the ring trap, leading to Bragg-diffracted sidemode excitations. Using an exact Schur-complement reduction of the full light-matter dynamics, we derive a frequency-dependent self-energy and identify a static regime in which the atomic response produces a complex shift of the passive optical mode. This renormalized dimer supports a tunable exceptional point, enabling spectroscopic signatures in the optical transmission due to a probe field, which can in turn be utilized for estimating the winding number of the persistent current. Exploiting the associated half-integer topological charge, we propose a digital exceptional-point-based sensing scheme based on eigenmode permutation, providing a noise-resilient method to sense superfluid rotation without relying on fragile eigenvalue splittings. Importantly, the sensing proposals are intrinsically non-destructive, preserving the coherence of the atomic superfluid.

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