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Paper 1.8: "Molecular Beam Resonances in Oscillatory Fields of Nonuniform Amplitudes and Phases," N. F. Ramsey, Phys. Rev. 109, 822–825 (1958)

World Scientific series in 20th century physicsJun 1, 19980 citations

Paper 6.5: "Complementarity with Neutron Two-Path Interferences and Separated-Oscillatory-Field Resonances," N. F. Ramsey, Phys. Rev. A48, 80–82 (1993)

World Scientific series in 20th century physicsJun 1, 19980 citations

Detection of the phase shift which accompanies the excitation of an atomic beam by N. F. Ramsey's method

Andrzej Chachulski, Krystyna Drogon

Unknown eBooksMay 1, 19950 citations

Generalised hyper-Ramsey resonance with spinors

T. Zanon-Willette, A. V. Taǐchenachev, Valeriy I. Yudin

The generalised hyper-Ramsey resonance formula originally published in Phys. Rev. A , 92, 023416 (2015) is derived using a Cayley – Klein spinor parametrisation. The shape of the interferometric resonance and the associated composite phase shift are reformulated including all individual laser pulse parameters. Potential robustness of signal contrast and phase-shift of the wave-function fringe pattern can now be arbitrarily explored tracking any shape distortion due to systematic effects from the probe laser. An exact and simple analytical expression describing Ramsey’s method of separated composite oscillating laser fields with quantum state control allows us to accurately simulate all recent clock interrogation protocols under various pulse defects.The generalised hyper-Ramsey resonance formula originally published in Phys. Rev. A , 92, 023416 (2015) is derived using a Cayley – Klein spinor parametrisation. The shape of the interferometric resonance and the associated composite phase shift are reformulated including all individual laser pulse parameters. Potential robustness of signal contrast and phase-shift of the wave-function fringe pattern can now be arbitrarily explored tracking any shape distortion due to systematic effects from the probe laser. An exact and simple analytical expression describing Ramsey’s method of separated composite oscillating laser fields with quantum state control allows us to accurately simulate all recent clock interrogation protocols under various pulse defects.

arXiv:1810.02949Quantum ElectronicsMar 1, 20193 citations

Paper 1.16: "Successive Oscillatory Fields at Radio to Optical Frequencies," N. F. Ramsey, Appl. Phys. B60, 85–88 (1995)

World Scientific series in 20th century physicsJun 1, 19980 citations

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

T. Zanon-Willette, David Wilkowski, R. Lefèvre +2 more

In 1949, Ramsey's method [Phys. Rev. 76, 996 (1949)] 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.In 1949, Ramsey's method [Phys. Rev. 76, 996 (1949)] 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.

arXiv:2109.13571Physical Review ResearchMay 13, 20222 citations

Paper 1.3: "Phase Shifts in the Molecular Beam Method of Separated Oscillating Fields," N. F. Ramsey and H. B. Silsbee, Phys. Rev. 84, 506–507 (1951)

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Paper 1.3: "Phase Shifts in the Molecular Beam Method of Separated Oscillating Fields," N. F. Ramsey and H. B. Silsbee, Phys. Rev. 84, 506–507 (1951)

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