Controlling and measuring a superposition of position and momentum
arXiv:2207.07270 · doi:10.1103/PhysRevA.108.012215
Abstract
The dynamics of a particle propagating in free space is described by its position and momentum, where quantum mechanics prohibits the simultaneous identification of two non-commutative physical quantities. Recently, a lower bound on the probability of finding a particle after propagating for a given time has been derived for well-defined initial constraints on position and momentum under the assumption that particles travel in straight lines. Here, we investigate this lower limit experimentally with photons. We prepared a superposition of position and momentum states by using slits, lenses and an interferometer, and observed a quantum interference between position and momentum. The lower bound was then evaluated using the initial state and the result was 5.9\% below this classical bound.
arXiv comment5 pages, 4 figures
References in corpus (25)
- On-Demand Single Photons with High Extraction Efficiency and Near-Unity Indistinguishability from a Resonantly Driven Quantum Dot in a Micropillar
- Direct Measurement of the Quantum Wavefunction
- Experimental realization of Wheeler's delayed-choice GedankenExperiment
- Heisenberg's Uncertainty Principle
- Experimental joint weak measurement on a photon pair as a probe of Hardy's Paradox
- Operationally Invariant Information in Quantum Measurements
- Ruling Out Multi-Order Interference in Quantum Mechanics
- Direct observation of Hardy's paradox by joint weak measurement with an entangled photon pair
- Quantum Cheshire Cats
- Observation of a quantum Cheshire Cat in a matter wave interferometer experiment
- Photon trajectories, anomalous velocities, and weak measurements: A classical interpretation
- Scalable Spatial Super-Resolution using Entangled Photons
- Non-classical paths in interference experiments
- Quantum phenomena modelled by interactions between many classical worlds
- Exotic Looped Trajectories of Photons in Three-Slit Interference
- Measurement and control of spatial qubits generated by passing photons through double-slits
- Experimental observation of anomalous trajectories of single photons
- Testing higher-order quantum interference with many-particle states
- An Introduction to the Quantum Backflow Effect
- Many-particle interference to test Born's rule
- On the fundamental role of dynamics in quantum physics
- Quantum Trajectories based on the Weak Value
- Quantum interference of position and momentum: a particle propagation paradox
- Control of particle propagation beyond the uncertainty limit by interference between position and momentum
- How to put quantum particles on magic bullet trajectories that can hit two targets without a clear line-of-sight