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1. Introduction; 2. Description of atomic fountains; 2.1. Atomic preparation; 2.2. Clock transition interrogation; 2.3. Detection; 2.4. Operation of the fountain clock; 3. Performances of fountains; 3.1. Frequency stability and quantum projection noise; 3.2. Frequency accuracy, collisions between cold atoms; 4. Beyond fountains; 4.1. Optical clocks with neutral atoms in free fall; 4.2. Optical clocks with trapped ions; 4.3. Optical clocks with trapped neutral atoms; 5. Applications and prospects; 5.1. Cold atom clocks in space; 5.2. Fundamental physics
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