Counting Statistics of Many-Particle Quantum Walks

Abstract

We study quantum walks of many non-interacting particles on a beam splitter array, as a paradigmatic testing ground for the competition of single- and many-particle interference in a multi-mode system. We derive a general expression for multi-mode particle-number correlation functions, valid for bosons and fermions, and infer pronounced signatures of many-particle interferences in the counting statistics.

4 pages, 4 figures

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• Tight bound on trace distance between a realistic device with partially indistinguishable bosons and the ideal Boson Sampling
• Inelastic Multiple Scattering of Interacting Bosons in Weak Random Potentials
• Quantum walk on distinguishable non-interacting many-particles and indistinguishable two-particle
• Many-particle interference in a two-component bosonic Josephson junction: an all-optical simulation
• Dynamical effects of exchange symmetry breaking in mixtures of interacting bosons
• Comment on "Non-monotonic projection probabilities as a function of distinguishability"
• Where to quantum walk