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Collective versus single-particle motion in quantum many-body systems from the perspective of an integrable model

Collective versus single-particle motion in quantum many-body systems from the perspective of an integrable model

We study the emergence of collective dynamics in the integrable Hamiltonian system of two finite ensembles of coupled harmonic oscillators. After identification of a collective degree of freedom, the Hamiltonian is mapped onto a model of Caldeiraā€“Leggett type, where the collective coordinate is coupled to an internal bath of phonons. ā€¦