Parameter estimation in atomic spectroscopy using exceptional points

Abstract

The dynamics of spontaneous emission of an atomic system is studied in the framework of an open quantum system. The resulting quantum master equation for the atomic system is non hermitian. The generator $\mathcal{L}$ can possess non-hermitian degeneracies, i.e. exceptional points ($EP$), for specific values of the external laser driving amplitude and detuning from the atomic lines. We suggest to employ the special properties of these $EP$s for accurate parameter estimation. The method is demonstrated for the atomic spectrum of $S\to P$ transitions of ${}^{85}$Rb and ${}^{40}$Ca${}^{+}$.

28 pages, 6 figures

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Cited by in corpus (11)

• High-order exceptional points in supersymmetric arrays
• Emergence of PT-symmetry breaking in open quantum systems
• A model of three coupled wave guides and third order exceptional points
• Robust mode conversion in NV centers using exceptional points
• Exact description of coalescing eigenstates in open quantum systems in terms of microscopic Hamiltonian dynamics
• Exceptional points in Fermi liquids with quadrupolar interactions
• Exceptional points in two simple textbook examples
• Three approaches for representing Lindblad dynamics by a matrix-vector notation
• Resonant-amplified and invisible Bragg scattering based on spin coalescing modes
• An interferometric method to estimate the eigenvalues of a Non-Hermitian two-level optical system
• Chiral behaviour for three wave guides at an exceptional point of third order