Direct experimental test of commutation relation via imaginary weak value
Richard Wagner, Wenzel Kersten, Armin Danner, Hartmut Lemmel, Alok Kumar Pan, Stephan Sponar
Abstract
The authors introduce and realize a scheme, allowing for a direct test of the canonical commutation relation, by measuring the imaginary part of the weak value of a suited path-qubit observable in a neutron interferometric experiment.
Topics & Concepts
CommutationObservableMathematicsRelation (database)PhysicsValue (mathematics)The ImaginaryMathematical analysisStatistical physicsConstant (computer programming)Term (time)Quantum mechanicsInterferometryTest (biology)Theoretical physicsQuantum Mechanics and ApplicationsNoncommutative and Quantum Gravity TheoriesQuantum Information and Cryptography