Entangled Wavefunctions from Classical Oscillator Amplitudes

Abstract

In the first days of quantum mechanics Dirac pointed out an analogy between the time-dependent coefficients of an expansion of the Schrödinger equation and the classical position and momentum variables solving Hamilton's equations. Here it is shown that the analogy can be made an equivalence in that, in principle, systems of classical oscillators can be constructed whose position and momenta variables form time-dependent amplitudes which are identical to the complex quantum amplitudes of the coupled wavefunction of an N-level quantum system with real coupling matrix elements. Hence classical motion can reproduce quantum coherence.

extended version

References in corpus (2)

• On the Equivalence of Quantum and Classical Coherence in Electronic Energy Transfer
• A classical master equation for excitonic transport under the influence of an environment

Cited by in corpus (14)

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• Quantum Dynamics Simulation with Classical Oscillators
• An exact mapping between the states of arbitrary N-level quantum systems and the positions of classical coupled oscillators
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• Old Game, New Rules: Rethinking The Form of Physics
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• Fluctuating parametric drive of coupled classical oscillators can simulate dissipative qubits
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