Relations between bosonic quadrature squeezing and atomic spin squeezing

Details Relations between bosonic quadrature squeezing and atomic spin squeezing Relations between bosonic quadrature squeezing and atomic spin squeezing

2003-05-13

arxiv.org/abs/quant-ph/0305066v2

Phys. Rev. A 68, 033821 (2003)

Physics

Quantum Physics

7 pages, 3 figures. Version 2: Title was changed and some points were clarified. An addtional result is that the spin squeezin

Scientific paper

10.1103/PhysRevA.68.033821

We study relations between bosonic quadrature squeezing and atomic spin squeezing, and find that the latter reduces to the former in the limit of a large number of atoms for even and odd states. We demonstrate this reduction by treating even and odd spin coherent states, for which analytical solutions are readily obtained, and prove that even spin coherent states always exhibit spin squeezing, whereas odd spin coherent states do not, analogous to the squeezing characteristic of even and odd bosonic coherent states. Finally, we examine the squeezing transfer between photons and atoms via the Dicke Hamiltonian, where a perfect transfer of squeezing is demonstrated in the limit of a large number of atoms.

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