WEAK VALUES FROM PATH INTEGRALS

Weak values from path integrals

Weak values from path integrals

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We connect the weak measurements framework to the path integral formulation Jewelry Dish Friend Card of quantum mechanics.We show how Feynman propagators can in principle be experimentally inferred from weak value measurements.We also obtain expressions for weak values parsing unambiguously the quantum and the classical aspects of weak couplings between a system and a probe.These expressions are shown to be useful in quantum-chaos-related studies (an illustration involving quantum scars is given), and also in solving current weak-value-related controversies Minimalist Cases (we discuss the existence of discontinuous trajectories in interferometers and the issue of anomalous weak values in the classical limit).

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