Quantum limited measurements of atomic scattering properties

Details Quantum limited measurements of atomic scattering properties Quantum limited measurements of atomic scattering properties

2007-06-22

arxiv.org/abs/0706.3376v2

Physics

Condensed Matter

Other Condensed Matter

7 pages, 5 figures. References added

Scientific paper

10.1103/PhysRevA.76.053617

We propose a method to perform precision measurements of the interaction parameters in systems of N ultra-cold spin 1/2 atoms. The spectroscopy is realized by first creating a coherent spin superposition of the two relevant internal states of each atom and then letting the atoms evolve under a squeezing Hamiltonian. The non-linear nature of the Hamiltonian decreases the fundamental limit imposed by the Heisenberg uncertainty principle to N^(-2), a factor of N smaller than the fundamental limit achievable with non-interacting atoms. We study the effect of decoherence and show that even with decoherence, entangled states can outperform the signal to noise limit of non-entangled states. We present two possible experimental implementations of the method using Bose-Einstein spinor condensates and fermionic atoms loaded in optical lattices and discuss their advantages and disadvantages.

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