Full quantum reconstruction of vortex states
I. Rigas, L. L. Sanchez-Soto, A. B. Klimov, J. Rehacek, and Z. Hradil
TL;DR
This paper presents a method for fully reconstructing vortex quantum states with orbital angular momentum using a novel Wigner function on a discrete cylinder, enabling detailed phase space analysis.
Contribution
It introduces a complete tomographic scheme for vortex states and a new Wigner function representation on the discrete cylinder phase space.
Findings
Successful reconstruction of vortex states demonstrated
Wigner function provides clear visualization of quantum states
Method applicable to various vortex states
Abstract
We propose a complete tomographic reconstruction of any vortex state carrying orbital angular momentum. The scheme determines the angular probability distribution of the state at different times under free evolution. To represent the quantum state we introduce a bona fide Wigner function defined on the discrete cylinder, which is the natural phase space for the pair angle-angular momentum. The feasibility of the proposal is addressed.
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