Spin-orbit entanglement in the Color Glass Condensate

Spin-orbit entanglement in the Color Glass Condensate

5 Apr 2024 | Shohini Bhattacharya, Renaud Boussarie, and Yoshitaka Hatta
This paper investigates the spin-orbit correlations of quarks and gluons at small-x in the Color Glass Condensate (CGC), revealing that the helicity and orbital angular momentum (OAM) of individual partons are strongly anti-aligned, even in unpolarized or spinless hadrons and nuclei. This anti-correlation is consistent with the linear polarization of gluons in the CGC, suggesting that the helicity and OAM of single gluons are maximally entangled in a quantum mechanical sense. The study shows that spin-orbit correlations for both quarks and gluons are explicitly calculable in the CGC framework and grow strongly with decreasing x, eventually saturating. The anti-correlation is not limited to polarized hadrons but is an intrinsic property of the CGC. The paper also demonstrates that the spin-orbit anti-correlation implies quantum entanglement between the spin and OAM of individual gluons, a novel perspective on the CGC as a correlated quantum state. This finding is contrasted with analogous entangled photon states in quantum optics. The results are consistent with and explain the known anti-correlation between quark and gluon helicity distributions and OAM distributions in polarized hadrons. The study highlights the importance of spin-orbit entanglement in understanding the quantum structure of the CGC.This paper investigates the spin-orbit correlations of quarks and gluons at small-x in the Color Glass Condensate (CGC), revealing that the helicity and orbital angular momentum (OAM) of individual partons are strongly anti-aligned, even in unpolarized or spinless hadrons and nuclei. This anti-correlation is consistent with the linear polarization of gluons in the CGC, suggesting that the helicity and OAM of single gluons are maximally entangled in a quantum mechanical sense. The study shows that spin-orbit correlations for both quarks and gluons are explicitly calculable in the CGC framework and grow strongly with decreasing x, eventually saturating. The anti-correlation is not limited to polarized hadrons but is an intrinsic property of the CGC. The paper also demonstrates that the spin-orbit anti-correlation implies quantum entanglement between the spin and OAM of individual gluons, a novel perspective on the CGC as a correlated quantum state. This finding is contrasted with analogous entangled photon states in quantum optics. The results are consistent with and explain the known anti-correlation between quark and gluon helicity distributions and OAM distributions in polarized hadrons. The study highlights the importance of spin-orbit entanglement in understanding the quantum structure of the CGC.
Reach us at info@study.space
[slides] Spin-orbit entanglement in the Color Glass Condensate | StudySpace