Quantum entanglement from classical trajectories

• URL: http://arxiv.org/abs/2105.02075v1
• Date: Wed, 5 May 2021 14:19:54 GMT
• Title: Quantum entanglement from classical trajectories
• Authors: Johan E. Runeson and Jeremy O. Richardson
• Abstract summary: A long-standing challenge in mixed quantum-classical trajectory simulations is the treatment of entanglement between the classical and quantal degrees of freedom. We present a novel approach which describes the emergence of entangled states entirely in terms of independent and deterministic Ehrenfest-like classical trajectories.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: A long-standing challenge in mixed quantum-classical trajectory simulations is the treatment of entanglement between the classical and quantal degrees of freedom. We present a novel approach which describes the emergence of entangled states entirely in terms of independent and deterministic Ehrenfest-like classical trajectories. For a two-level quantum system in a classical environment, this is derived by mapping the quantum system onto a path-integral representation of a spin-1/2. We demonstrate that the method correctly accounts for coherence and decoherence and thus reproduces the splitting of a wavepacket in a nonadiabatic scattering problem. This discovery opens up a new class of simulations as an alternative to stochastic surface-hopping, coupled-trajectory or semiclassical approaches.

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