Quantum-limited metrology and Bose-Einstein condensates

Details Quantum-limited metrology and Bose-Einstein condensates Quantum-limited metrology and Bose-Einstein condensates

2009-06-04

arxiv.org/abs/0906.0962v3

Phys. Rev. A 80, 032103 (2009)

Physics

Quantum Physics

32 pages, 1 figure, updated references

Scientific paper

10.1103/PhysRevA.80.032103

We discuss a quantum-metrology protocol designed to estimate a physical parameter in a Bose-Einstein condensate of N atoms, and we show that the measurement uncertainty can decrease faster than 1/N. The 1/N scaling is usually thought to be the best possible in any measurement scheme. From the perspective of quantum information theory, we outline the main idea that leads to a measurement uncertainty that scales better than 1/N. We examine in detail some potential problems and challenges that arise in implementing such a measurement protocol using a Bose-Einstein condensate. We discuss how some of these issues can be dealt with by using lower-dimensional condensates trapped in nonharmonic potentials.

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