Attosecond Quantum Field Dynamics: Squeezed Light Metrology and Mean-Field Architectures for Petahertz Quantum Communication

Abstract

The ability to generate and manipulate synthesized, squeezed, and ultrafast light waveforms with attosecond ($10^{-18}$ s) resolution represents a fundamental milestone for advancing quantum technologies in the petahertz (PHz) regime. This manuscript describes the experimental demonstration of generating such quantum pulses, spanning the 0.33 to 0.73 PHz range, using a degenerate four-wave mixing (DFWM) nonlinear process.1 Subsequent metrology confirms amplitude squeezing, with levels aligning with theoretical predictions for high compression (>13.0 dB).1 Crucially, we demonstrate dynamic control over the light's quantum uncertainty, enabling real-time switching between amplitude and phase squeezing regimes, paving the way for the development of an attosecond quantum encryption protocol for secure PHz communication.1 In a theoretical extension, we establish a formal bridge between this ultrafast quantum dynamics and the Time-Dependent Ginzburg-Landau (TDGL) formalism, proposing that TDGL serves as a robust mean-field model to describe the macroscopic coherence and stability of distributed complex system architectures, such as those required for the development of Artificial General Intelligence (AGI).3 This unification lays the groundwork for the emerging field of attosecond quantum science, translating fundamental quantum control into large-scale system engineering capabilities.