Weak values obtained from mass-energy equivalence
arXiv:1601.06077 · doi:10.1103/PhysRevA.95.012114
Abstract
Quantum weak measurement, measuring some observable quantities within the selected subensemble of the entire quantum ensemble, can produce many interesting results such as the superluminal phenomena. An outcome of such a measurement is the weak value which has been applied to amplify some weak signals of quantum interactions in lots of previous references. Here, we apply the weak measurement to the system of relativistic cold atoms. According to mass-energy equivalence, the internal energy of an atom will contribute its rest mass and consequently the external momentum of center of mass. This implies a weak coupling between the internal and external degrees of freedom of atoms moving in the free space. After a duration of this coupling, a weak value can be obtained by post-selecting an internal state of atoms. We show that, the weak value can change the momentum uncertainty of atoms and consequently help us to experimentally measure the weak effects arising from mass-energy equivalence.
8 pages, 2 figures. Accepted for publication in Phys. Rev. A
References in corpus (17)
- Atom Interferometers
- Ultrasensitive Beam Deflection Measurement via Interferometric Weak Value Amplification
- Experimental joint weak measurement on a photon pair as a probe of Hardy's Paradox
- Complex weak values in quantum measurement
- Anomalous Weak Values Are Proofs of Contextuality
- Amplification of Angular Rotations Using Weak Measurements
- Observation of a quantum Cheshire Cat in a matter wave interferometer experiment
- Experimentally quantifying the advantages of weak-value-based metrology
- Entanglement-assisted weak value amplification
- Optimal Probe Wavefunction of Weak-Value Amplification
- Weak-value amplification as an optimal metrological protocol
- 'Quantum Cheshire Cat' as Simple Quantum Interference
- Weak Values from Displacement Currents in Multiterminal Electron Devices
- General complex Spin Weak Values obtained in Matter-Wave Interferometer Experiments
- Weak-value amplification: state of play
- A Simple Test of the Equivalence Principle(s) for Quantum Superpositions
- Application of the weak-measurement technique to study atom-vacuum interactions