Pointer-based model for state reduction in momentum space

Abstract

We revisit the pointer-based measurement concept of von Neumann which allows us to model a quantum counterpart of the classical time-of-flight (ToF) momentum. Our approach is based on the Hamiltonian for a particle interacting with two quantum pointers serving as basic measurement devices. The corresponding dynamics leads to a pointer-based ToF observable for the operational momentum of the particle. We can consider single measurements of our quantum pointers and show that this process will result in a state reduction for a single particle being downstream of the time-of-flight setup.

arXiv comment8 pages, 4 figures

References in corpus (13)

• Experimental Quantum State Tomography of Optical Fields and Ultrafast Statistical Sampling
• Unknown Quantum States and Operations, a Bayesian View
• Time-of-arrival in quantum mechanics
• Measurement of Time-of-Arrival in Quantum Mechanics
• Arrival time in quantum mechanics
• Time-of-arrival probabilities and quantum measurements
• Time-of-arrival formalism for the relativistic particle
• Time-of-arrival probabilities for general particle detectors
• Intrinsic and operational observables in quantum mechanics
• Time of arrival and localization of relativistic particles
• Quantum Arrival and Dwell Times via Idealised Clocks
• Entropic uncertainty relation for pointer-based simultaneous measurements of conjugate observables
• Path of a tunneling particle

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