Abstract
We connect the weak measurements framework to the path integral formulation 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 (we discuss the existence of discontinuous trajectories in interferometers and the issue of anomalous weak values in the classical limit).
Highlights
We connect the weak measurements framework to the path integral formulation of quantum mechanics
The path integral formulation of quantum mechanics is strictly equivalent to the standard formalism based on the Schrödinger equation
Though it is often technically more involved, path integrals give a conceptually clearer picture though the natural, built-in connection with quantities defined from classical mechanics (Lagrangian, action, paths)
Summary
We connect the weak measurements framework to the path integral formulation of quantum mechanics. We will see that path integrals parse the quantum and classical aspects of weak values, thereby clarifying many of the current controversies involving weak measurements.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
