Quantum Correlation Compression Wave: A Collective Field Theory of Entanglement Propagation

Jincheng Zhang

Published Aug 11, 2026• 0 citations

Abstract

The study of quantum entanglement and non-local correlations has traditionally focused on static configurations or point-to-point state transmission protocols. In this paper, we propose a novel hydrodynamic framework for quantum correlations, introducing the concept of the Quantum Correlation Compression Wave (QCCW). We define a continuous scalar field representing correlation density, denoted as rho_C(r, t), which behaves analogously to an elastic medium capable of supporting longitudinal compression waves. By formulating the governing wave equation for correlation density, which incorporates a characteristic propagation velocity v_C and a damping coefficient gamma_C, we demonstrate that quantum mutual information and entanglement structures can form independent collective excitations. Furthermore, we explore the quantization of this field, leading to the theoretical discovery of new elementary excitations termed correlation quasiparticles or corratons. This framework bridges quantum information theory with classical continuum mechanics and field theory, offering a new perspective on macroscopic quantum phenomena and collective entanglement dynamics.

DOI: 10.5281/zenodo.21888361

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