Titlebook: Ultracold Atoms for Foundational Tests of Quantum Mechanics; Robert J. Lewis-Swan Book 2016 The Editor(s) (if applicable) and The Author(s

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,Proposal for Demonstrating the Hong–Ou–Mandel Effect with Matter Waves, In this phenomenon, the probability amplitudes of two indistinguishable photons entering opposing inputs of a beam-splitter interfere destructively, in a manner which is not describable by any classical theory. When realized with photons prepared in the two-mode squeezed vacuum state, this two-part

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Book 2016pecifically, it focuses on these non-classical effects in two contexts: (i) tests of local realism with massive particles, e.g., violations of a Bell inequality and the EPR paradox, and (ii) realization of quantum technology by exploitation of entanglement, for example quantum-enhanced metrology.. .

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Introduction and Background Physics,ndensates. We also discuss the Wigner and positive P phase-space representation of quantum mechanics and give a detailed discussion of how these representations can be used to stochastically simulate large multi-mode quantum systems.