Conditions for the classicality of the center of mass of many-particle quantum states

Xavier Oriols, Albert Benseny

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9 Citations (Scopus)


© 2017 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. We discuss the conditions for the classicality of quantum states with a very large number of identical particles. By defining the center of mass from a large set of Bohmian particles, we show that it follows a classical trajectory when the distribution of the Bohmian particle positions in a single experiment is always equal to the marginal distribution of the quantum state in physical space. This result can also be interpreted as a single experiment generalization of the well-known Ehrenfest theorem. We also demonstrate that the classical trajectory of the center of mass is fully compatible with a quantum (conditional) wave function solution of a classical non-linear Schrödinger equation. Our work shows clear evidence for a quantum-classical inter-theory unification, and opens new possibilities for practical quantum computations with decoherence.
Original languageEnglish
Article number063031
JournalNew Journal of Physics
Issue number6
Publication statusPublished - 1 Jun 2017


  • Bohmian mechanics
  • decoherence
  • open systems
  • quantum mechanics
  • quantum-to-classical transition


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