Wave-Particle Duality of Many-Body Quantum States

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 level many-particle paths lends particle-character, while interference due to coherent superpositions amplitudes indicates wave-like properties. analyze information, continuously tunable by distinguishability fermionic or bosonic, identical possibly interacting particles, constrains contributions observables thus controls quantum-to-classical transition systems. The versatility our theoretical framework is illustrated Hong-Ou-Mandel- Bose-Hubbard-like exemplary settings.