Work

Classical entanglement and entropy

Year: 2024

Type: article

Abstract: Motivated by recent discussions of entanglement in the context of high energy scattering, we consider the relation between the entanglement entropy of a highly excited state of a quantum system and the classical entanglement entropy of the corresponding classical system. We show on the example of two weakly coupled harmonic oscillators that the two entropies are equal. Quantum mechanically, the reduced density matrix which yields this entropy is close to the maximally entangled state. We thus observe that the nature of entanglement in this type of state is purely classical.

Source: International Journal of Modern Physics A

DOI: 10.1142/s0217751x24501045

Authors: Haowu Duan, Alex Kovner, Vladimir V. Skokov

Institutions: North Carolina State University, University of Connecticut, Brookhaven National Laboratory, RIKEN BNL Research Center

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Ben-Gurion University of the Negev, Office of Science

Awards: NSF-BSF: Saturation and Quantum Coherence: Gearing up for EIC, QUANTUM CHROMODYNAMICS AT EXTREME GLUON DENSITIES