Introduction.- Background I: Physical Systems.- Background II: Phase-space Methods.- Proposal for Demonstrating the Hong-Ou-Mandel Effect with Matter Waves.- Proposal for a Motional-state Bell Inequality Test with Ultracold Atoms.- Sensitivity to Thermal Noise of Atomic Einstein-Podolsky-Rosen Entanglement.- An Atomic SU(1,1) Interferometer Via Spin-changing Collisions.- On the Relation of the Particle Number Distribution of Stochastic Wigner Trajectories and Experimental Realizations.- Conclusion.
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