Photon Angular-Momentum-Entropy Conversion (PASEC): A Theoretical Framework for Information-Thermodynamic Bridge in Structured Light
Jincheng Zhang
Abstract
The unification of information theory and thermodynamics represents one of the most profound intellectual achievements in modern physics, historically bridged by principles such as Landauer's erasure bound and Szilard's engine. Concurrently, the exploration of structured light has revealed that photons can carry well-defined orbital angular momentum (OAM), opening vast multidimensional state spaces for optical communication, quantum information processing, and optical manipulation. In this paper, we propose the Photon Angular-Momentum-Entropy Conversion (PASEC) framework, establishing a rigorous theoretical foundation that demonstrates a direct, reversible, and quantitative conversion between the mechanical orbital angular momentum of light and information entropy. By conceptualizing programmable optical phase transformations as thermodynamic state functions, we derive the fundamental governing equations for PASEC, showing that changes in the OAM spectrum map directly onto Shannon and von Neumann entropy variations under constraint conditions. This formulation bypasses the traditional necessity of thermal dissipation for entropy changes, offering an alternative purely mechanical-informational pathway. We explore the thermodynamic consistency of the framework, formulating a generalized optical Landauer principle where spatial mode compression and expansion act as thermodynamic compression and expansion cycles. Finally, we discuss the profound implications of establishing photon angular-momentum thermodynamics, outlining pathways toward macroscopic quantum entropy control using modern programmable spatial light modulators and metasurfaces.