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What is the magic frequency?

Optical lattice

Frequency standard

Hyperfine structure

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The magic frequency is a frequency associated with certain processes in atomic systems. It can be used as an atomic frequency standard for near zero magnetic fields . In the Thomson problem, the magic numbers of charges on a sphere correspond to specific values of the maximum frequency of vibration . In the context of microwave hyperfine transitions in cesium and rubidium atoms, applying an external magnetic field with a specific direction can cancel the dynamic Stark frequency shift, making the clock transition frequency insensitive to the laser and magnetic fields . In Zeeman-insensitive optical clocks, a magic magnetic value is achieved when the radio-frequency driving amplitude and frequency have specific ratios, resulting in a cancellation of the Zeeman clock shift and a reduction of magnetic variations .

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Open access•Journal Article•DOI Magic radio-frequency dressing of nuclear spins in high-accuracy optical clocks. Thomas Zanon-Willette, Emeric de Clercq, Ennio Arimondo - Show less +2 more 30 Nov 2012-Physical Review Letters 11 Citations	The paper does not explicitly mention the "magic frequency."
Open access•Journal Article•DOI Magic numbers for vibrational frequency of charged particles on a sphere Shota Ono 14 Jul 2021-arXiv: Mesoscale and Nanoscale Physics 2 Citations	The paper does not mention a specific "magic frequency." It discusses the concept of "magic numbers" for the vibrational frequency of charged particles on a sphere.
Open access•Journal Article•DOI Magic frequencies for cesium primary-frequency standard. Victor V. Flambaum, V. A. Dzuba, Andrei Derevianko - Show less +2 more 26 Nov 2008-Physical Review Letters 39 Citations	The paper does not explicitly mention the term "magic frequency."
Journal Article•DOI Magic frequency enabled by quantum interference for a dual atomic device S. Pradhan, S. Pradhan, A. Kani, Harshawardhan Wanare, S. Mishra, Amita Das, Amita Das - Show less +6 more 17 Mar 2015-Journal of Physics B 6 Citations	The paper describes a magic frequency associated with two-photon processes in room temperature atomic vapor at the coherent population trapping (CPT) condition for elliptically polarized light.
Open access•Journal Article•DOI Magic numbers for vibrational frequency of charged particles on a sphere Shota Ono 17 Sep 2021-Physical Review B 1 Citations	The paper does not explicitly mention the term "magic frequency." The paper discusses the concept of "magic numbers" for the vibrational frequency of charged particles on a sphere.

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