Absence of classical and quantum mixing

Abstract

It is shown, under mild assumptions, that classical degrees of freedom dynamically coupled to quantum ones do not inherit their quantum fluctuations. It is further shown that, if the assumptions are strengthen by imposing the existence of a canonical structure, only purely classical or purely quantum dynamics are allowed.

REVTeX, 4 pages

References in corpus (2)

• Quantum Backreaction on ``Classical'' Variables
• Comment on 'Quantum Backreaction on "Classical" Variables'

Cited by in corpus (37)

• Understanding quantum measurement from the solution of dynamical models
• Linear dynamics of quantum-classical hybrids
• Impediments to mixing classical and quantum dynamics
• Royal Road to Coupling Classical and Quantum Dynamics
• Interacting classical and quantum ensembles
• On two recent proposals for witnessing nonclassical gravity
• Consistent classical and quantum mixed dynamics
• Gravitationally induced decoherence vs space-time diffusion: testing the quantum nature of gravity
• Hybrid classical-quantum formulations ask for hybrid notions
• Inconsistency of quantum--classical dynamics, and what it implies
• Koopman wavefunctions and classical-quantum correlation dynamics
• Statistical consistency of quantum-classical hybrids
• Hybrid Quantum-Classical Master Equations
• Mixing quantum and classical mechanics and uniqueness of Planck's constant
• The gravity-related decoherence master equation from hybrid dynamics
• A Quantum-Classical Brackets from p-Mechanics
• Objective trajectories in hybrid classical-quantum dynamics
• The constraints of post-quantum classical gravity
• Madelung transform and probability densities in hybrid classical-quantum dynamics
• Quantum and classical descriptions of a measuring apparatus
• Evolution of hybrid quantum-classical wavefunctions
• Hybrid quantum-classical dynamics of pure-dephasing systems
• Canonical bracket in quantum-classical hybrid systems
• Comment on ``A quantum-classical bracket that satisfies the Jacobi identity'' [J. Chem. Phys. 124, 201104 (2006)]
• Entropy and canonical ensemble of hybrid quantum classical systems
• Half Quantization
• Is it time to rethink quantum gravity?
• Classical-quantum limits
• Dynamics of mixed quantum-classical spin systems
• About the computation of finite temperatureensemble averages of hybrid quantum-classicalsystems with Molecular Dynamics
• Quantum-Classical Dynamical Brackets
• Observables and States p-Mechanics
• Galilean covariance of quantum-classical hybrid systems of the Sudarshan type
• A Stepwise Planned Approach to the Solution of Hilbert's Sixth Problem. I : Noncommutative Symplectic Geometry and Hamiltonian Mechanics
• Are Quantum-Classical Hybrids compatible with Ontological Cellular Automata?
• Foundations of quantum physics III. Measurement
• An illustration of canonical quantum-classical dynamics