Entanglement and Extreme Spin Squeezing for a Fluctuating Number of Indistinguishable Particles

Details Entanglement and Extreme Spin Squeezing for a Fluctuating Number of Indistinguishable Particles Entanglement and Extreme Spin Squeezing for a Fluctuating Number of Indistinguishable Particles

2012-04-24

arxiv.org/abs/1204.5329v1

Physics

Quantum Physics

Scientific paper

We extend the criteria for $k$-particle entanglement from the spin squeezing parameter presented in [A.S. S{\o}rensen and K. M{\o}lmer, Phys. Rev. Lett. {\bf 86}, 4431 (2001)] to systems with a fluctating number of particles. We also discuss how other spin squeezing inequalities can be generalized to this situation. Further, we give an operational meaning to the bounds for cases where the individual particles cannot be addressed. As a by-product, this allows us to show that in spin squeezing experiments with cold gases the particles are typically distinguishable in practise. Our results justify the application of the S{\o}rensen-M{\o}lmer bounds in recent experiments on spin squeezing in Bose-Einstein condensates.

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