Disembodiment of arbitrary number of properties in quantum Cheshire cat experiment

Abstract

The quantum Cheshire cat is an effect demonstrated within the framework of weak measurement aided with post-selection scenario where the property (say, grin) of a quantum particle (the cat) can be found in a spatially separated location from its position. In this work, we first propose interesting variants of quantum Cheshire cat where disembodiment of two different properties of a `cat' is demonstrated, so that, the \emph{grin} and the \emph{meowing} of it can be found in two different paths on an interferometer while the cat is in another path. We further extend this proposal for three-qutrit and $d$-qudit systems of a single particle. We provide sketches of the experimental proposals for testing our scheme by using the path, spin and energy degrees of freedoms of a single neutron and the path, polarization and orbital angular momentum of a single photon.