SU(2) hyper-clocks: Quantum engineering of spinor interferences for time and frequency metrology

T. Zanon-Willette, D. Wilkowski, R. Lefevre, A. V. Taichenachev, V. I. Yudin

Результат исследования: Научные публикации в периодических изданияхстатьярецензирование


In 1949, Ramsey's method [Phys. Rev. 76, 996 (1949)PHRVAO0031-899X10.1103/PhysRev.76.996] of separated oscillating fields was elaborated boosting over many decades metrological performances of atomic clocks and becoming the standard technique for very high-precision spectroscopic measurements. A generalization of this interferometric method is presented replacing the two single coherent excitations by arbitrary composite laser pulses. The rotation of the state vector of a two-level system under the effect of a single pulse is described using the Pauli matrices basis of the SU(2) group. It is then generalized to multiple excitation pulses by a recursive Euler-Rodrigues-Gibbs algorithm describing a composition of rotations with different rotation axes. A general analytical formula for the phase shift associated with the clock's interferometric signal is derived. As illustrations, hyper-clocks based on three-pulse and five-pulse interrogation protocols are studied and shown to exhibit nonlinear cubic and quintic sensitivities to residual probe-induced light shifts. The presented formalism is well suited to optimize composite phase shifts produced by tailored quantum algorithms in order to design a new generation of optical frequency standards and robust engineering control of atomic interferences in atomic, molecular, and optical physics with cold matter and antimatter.

Язык оригиналаанглийский
Номер статьи023117
ЖурналPhysical Review Research
Номер выпуска2
СостояниеОпубликовано - июн 2022

Предметные области OECD FOS+WOS



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