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Free Space Ramsey Spectroscopy in Rubidium with Noise below the Quantum Projection Limit
Benjamin K Malia1, Julián Martínez-Rincón1, Yunfan Wu2
1Department of Physics, Stanford University, Stanford, California 94305, USA.
Spin-squeezed atomic states generated in optical cavities improve atomic fountain clock precision. This quantum enhancement significantly surpasses the standard quantum limit for frequency stability in atomic clocks.
Area of Science:
- Atomic Physics
- Quantum Optics
- Metrology
Background:
- Atomic fountain clocks are crucial for precise timekeeping.
- Quantum projection limit traditionally restricts clock sensitivity.
- Spin-squeezed states offer a pathway to overcome these limitations.
Purpose of the Study:
- To demonstrate the utility of optical cavity generated spin-squeezed states in free space atomic fountain clocks.
- To quantify the phase sensitivity and frequency stability achieved using these states.
- To assess the preservation of quantum squeezing during atomic free fall.
Main Methods:
- Utilized ensembles of 87Rb atoms (390,000 atoms).
- Employed fluorescence imaging correlated with quantum nondemolition measurement for population spectroscopy.
- Performed Ramsey spectroscopy with 240,000 atoms after release from a lattice trap.
Main Results:
- Achieved a single-shot phase sensitivity of 814(61) microradians, 5.8(0.6) dB below the quantum projection limit.
- Observed preservation of squeezing as the atomic cloud expanded and fell in free space.
- Attained a single-shot fractional frequency stability of 8.4(0.2)×10^-12, 3.8(0.2) dB below the quantum projection limit.
Conclusions:
- Optical cavity generated spin-squeezed states significantly enhance the performance of atomic fountain clocks.
- The demonstrated squeezing provides a substantial improvement over the standard quantum limit.
- Technical noise in fluorescence detection and microwave systems currently limit further improvements.
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