Wave-particle duality of many-body quantum states
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.
Keywords
Cite
@article{arxiv.1901.02810,
title = {Wave-particle duality of many-body quantum states},
author = {Christoph Dittel and Gabriel Dufour and Gregor Weihs and Andreas Buchleitner},
journal= {arXiv preprint arXiv:1901.02810},
year = {2021}
}