Relations between bosonic quadrature squeezing and atomic spin squeezing

Abstract

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.

7 pages, 3 figures. Version 2: Title was changed and some points were clarified. An addtional result is that the spin squeezing defined by Wineland et al. also reduces to the bosonic quadrature squeezing in the limit of large number of particles

References in corpus (6)

• Characterizing the entanglement of symmetric many-particle spin-1/2 systems
• Spin squeezing and pairwise entanglement for symmetric multiqubit states
• Separability criterion for separate quantum systems
• Entanglement generation and Hamiltonian simulation in Continuous-Variable Systems
• Optimally squeezed spin states
• Limits of noise squeezing in Kerr effect

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