Modular variables retain phase sensitivity in non-overlapping wave-packet superpositions under gravity and Caldeira-Leggett decoherence when evaluated locally via Bohmian trajectories, unlike probability density or current.
Tunneling photons pose no challenge to Bohmian mechanics
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abstract
Very recently, Sharoglazova et al. performed an experiment measuring the energy-velocity relationship and Bohmian velocity in coupled waveguides. Their data show a discrepancy between the semi-classical `speed' $v=\sqrt{2|\Delta|/m}$ and Bohmian velocity $v_s$ for $\Delta<-\hbar J_0$, leading them to claim a challenge to Bohmian mechanics. Here, we definitively demonstrate this experiment poses no challenge to Bohmian mechanics. First, $v$ and $v_S$ represent fundamentally distinct physical quantities -- comparing them is physically unjustified and cannot adjudicate between Copenhagen and Bohmian interpretations. Second, we rigorously show that both interpretations predict identical photon tunneling dynamics in coupled waveguides.
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Bohmian trajectories computed for coupled waveguides reproduce standard quantum predictions and refute a recent experimental claim of falsification.
citing papers explorer
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Modular Variables and the Limits of Phase Detectability in Open Quantum Systems
Modular variables retain phase sensitivity in non-overlapping wave-packet superpositions under gravity and Caldeira-Leggett decoherence when evaluated locally via Bohmian trajectories, unlike probability density or current.
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Trajectories in coupled waveguides: an application to a recent experiment and Hiley's lessons on the falsification of the Bohmian model
Bohmian trajectories computed for coupled waveguides reproduce standard quantum predictions and refute a recent experimental claim of falsification.