Three-box paradox and "Cheshire cat grin": the case of spin-1 atoms

Abstract

We propose in this work a definite theoretical implementation of the three-box paradox - a scheme in which a single quantum particle appears to be present with certainty in two separate boxes - with spin-1 atoms. We further show how our setup can give rise to a "Cheshire cat grin" type of situation, in which an atom can apparently be found with certainty in one of the boxes while one of its properties (the angular momentum projection along a specifically chosen axis) appears to be in a different box. The significance of our findings are discussed relative to the status of the properties of a system obtained from weak measurements.

17 pages, 2 figures

References in corpus (6)

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• Weak values and quantum properties
• The Quantum Cheshire Cat effect: Theoretical basis and observational implications
• Can Two Quantum Cheshire Cats Exchange Grins?
• Reply to Comment on "Null weak values and the past of a quantum particle" by D. Sokolovski
• Delayed choice of paths selected by grin and snarl of quantum Cheshire Cat
• Quantum uncertainty as classical uncertainty of real-deterministic variables constructed from complex weak values and a global random variable
• Disembodiment of arbitrary number of properties in quantum Cheshire cat experiment
• Joint weak value for all order coupling using continuous variable and qubit probe
• Cat state, sub-Planck structure and weak measurement
• Manifestation of pointer state correlations in complex weak values of quantum observables
• Revisiting weak values through non-normality
• Interplay between strong and weak measurement: Comparison of three experimental approaches to weak value estimation