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Overcoming a challenge for Bohmian mechanics
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Recently, Bohmian mechanics has been challenged [Nature 643, 67 (2025)] by studying a system in which the motion of particles cannot be associated only with the gradient of phase of the wave function. We point out that, in general, Bohmian velocity is defined by the continuity equation, which does not always lead to velocity depending only on the phase gradient. By constructing the appropriate velocity explicitly, we overcome the challenge.
Forward citations
Cited by 3 Pith papers
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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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Actual and weak actual values in Bohmian mechanics
In Bohmian mechanics, Holland's local expectation values equal the real part of position-postselected weak values, and the disputed waveguide experiment's 'speed' parameter is identified as the amplitude decay rate in...
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Critical Reflections on Overcoming a Challenge for Bohmian Mechanics by H. Nikolic and the Experimental Findings of Sharoglazova et al
A critical commentary claiming Nikolic's reply to Sharoglazova et al. fails because it relies on the very formula it rejects and ignores entanglement.
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