Guilu Long

Abstract The Riemann Hypothesis (RH), one of the most profound unsolved problems in mathematics, concerns the nontrivial zeros of the Riemann zeta function. Linking these zeros to physical phenomena offers new perspectives on their origin and verification.

Abstract The recently theoretical and experimental researches on \({\mathcal{PT}}\)-symmetric system have attracted unprecedented attention because of the various interesting features and potential applications in extending canonical quantum mechanics. However, as the counterpart of \({\mathcal{PT}}\)-symmetry, there are few experimental researches on the anti-\({\mathcal{PT}}\)-symmetric quantum system because of the challenges in simulating anti-\({\mathcal{PT}}\)-symmetry in experiment.

Abstract We present and analyze a proposal for a macroscopic quantum delayed-choice experiment with massive mechanical resonators. In our approach, the electronic spin of a single nitrogen-vacancy impurity is employed to control the coherent coupling between the mechanical modes of two carbon nanotubes. We demonstrate that a mechanical phonon can be in a coherent superposition of wave and particle, thus exhibiting both behaviors at the same time.