Weak values in collision theory
arXiv:1803.07110 · doi:10.1016/j.aop.2018.03.014
Abstract
Weak measurements have an increasing number of applications in contemporary quantum mechanics. They were originally described as a weak interaction that slightly entangled the translational degrees of freedom of a particle to its spin, yielding surprising results after post-selection. That description often ignores the kinetic energy of the particle and its movement in three dimensions. Here, we include these elements and re-obtain the weak values within the context of collision theory by two different approaches, and prove that the results are compatible with each other and with the results from the traditional approach. To provide a more complete description of the Stern-Gerlach apparatus, we use weak vectors, a generalization of the weak values.
arXiv comment23 pages, 3 figures
References in corpus (18)
- Decoherence, einselection, and the quantum origins of the classical
- Decoherence, the measurement problem, and interpretations of quantum mechanics
- Colloquium: Understanding Quantum Weak Values: Basics and Applications
- Fast light, slow light, and phase singularities: a connection to generalized weak values
- Synthetic partial waves in ultracold atomic collisions
- How the result of a single coin toss can turn out to be 100 heads
- Toward a Quantum Theory of Observation
- Manipulating a qubit through the backaction of sequential partial measurements and real-time feedback
- Weak-Measurement Elements of Reality
- Observing interferences between past and future quantum states in resonance fluorescence
- Broadening the scope of weak quantum measurements I: A single particle accurately measured yet left superposed
- Broadening the scope of weak quantum measurements II: Past and future measurement effects within a double Mach-Zehnder-interferometer setting
- Classical interventions in quantum systems. I. The measuring process
- What is a quantum-mechanical 'weak value' the value of?
- Protecting a quantum state from environmental noise by an incompatible finite-time measurement
- Understanding the Pointer States
- How much time does a measurement take?
- Efficient finite-time measurements under thermal regimes