Robust weak-measurement protocol for Bohmian velocities

F. L. Traversa, G. Albareda, M. Di Ventra, X. Oriols

Research output: Contribution to journalArticleResearchpeer-review

21 Citations (Scopus)

Abstract

We present a protocol for measuring Bohmian, or the mathematically equivalent hydrodynamic, velocities based on an ensemble of two position measurements, defined from a positive operator-valued measure, separated by a finite time interval. The protocol is very accurate and robust as long as the first measurement uncertainty divided by the finite time interval between measurements is much larger than the Bohmian velocity, and the system evolves under flat potential between measurements. The difference between the Bohmian velocity of the unperturbed state and the measured one is predicted to be much smaller than 1% in a large range of parameters. Counterintuitively, the measured velocity is that at the final time and not a time-averaged value between measurements. © 2013 American Physical Society.
Original languageEnglish
Article number052124
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume87
Issue number5
DOIs
Publication statusPublished - 20 May 2013

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