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arXiv · 1901.02810

Wave-particle duality of many-body quantum states

Christoph Dittel·Gabriel Dufour·Gregor Weihs·Andreas Buchleitner
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Abstract

We formulate a general theory of wave-particle duality for many-body quantum states, which quantifies how wave- and particle-like properties balance each other. Much as in the well-understood single-particle case, which-way information -- here on the level of many-particle paths -- lends particle-character, while interference -- here due to coherent superpositions of many-particle amplitudes -- indicates wave-like properties. We analyze how many-particle which-way information, continuously tunable by the level of distinguishability of fermionic or bosonic, identical and possibly interacting particles, constrains interference contributions to many-particle observables and thus controls the quantum-to-classical transition in many-particle quantum systems. The versatility of our theoretical framework is illustrated for Hong-Ou-Mandel- and Bose-Hubbard-like exemplary settings.

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Christoph Dittel, Gabriel Dufour, Gregor Weihs, Andreas Buchleitner. 2019-01-09. Wave-particle duality of many-body quantum states. https://doi.org/10.1103/physrevx.11.031041

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