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    Exceptional-point dynamics in photonic time crystals for enhanced optical sensing

    Saurabh Mani Tripathi1,*, Shalini Kumari2, Krishnan Kundan2, and Neha Ahlawat1

    • *Contact author: smt@iitd.ac.in

    Phys. Rev. Applied 25, 054054 – Published 21 May, 2026

    DOI: https://doi.org/10.1103/t58q-lmng

    Abstract

    Exceptional points (EPs) in non-Hermitian photonics offer singular sensitivity enhancements but have thus far been realized almost exclusively in spatially engineered platforms with fixed geometries and limited tunability. Here we extend EP physics into the temporal domain by introducing balanced gain-loss modulation in a photonic time crystal (PTC). A time-periodic refractive-index modulation n(t)=n0+δncos(Ωt) generates an effective non-Hermitian Floquet Hamiltonian that supports coalescence of quasieigenmodes in frequency space, constituting a genuine temporal exceptional point. Using a reduced two-mode model for the dominant frequency sidebands, we derive a non-Hermitian dimer Hamiltonian HPT(Δ,γ,κ) that is strictly PT symmetric for Δ=0 and identify the exact EP condition. Numerical analysis reveals the associated Riemann-sheet topology, mode exchange and Berry-phase accumulation upon encirclement of the EP, and the characteristic ε perturbation response indicative of enhanced sensing. We further construct a non-Hermitian transmission model that is exact within the reduced two-mode description, compute the Cramér-Rao bound (CRB) for temperature estimation under an explicit noise model, and show that EP-enhanced sensitivity persists when compared to a linewidth-matched Hermitian reference under identical resource constraints. Monte Carlo simulations confirm that the CRB is saturable using spectral measurements. These results establish temporal non-Hermiticity as an alternative paradigm for dynamically reconfigurable, broadband, and geometry-independent exceptional-point photonics.

    Physics Subject Headings (PhySH)

    Corrections

    25 June, 2026

    Correction: A typographical error in the email address of the byline footnote for the first author has been fixed.

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