Emergent classical gauge symmetry from quantum entanglement


Kirklin, J. (2022). Emergent classical gauge symmetry from quantum entanglement. Perimeter Institute. https://pirsa.org/22120023


Kirklin, Joshua. Emergent classical gauge symmetry from quantum entanglement. Perimeter Institute, Dec. 15, 2022, https://pirsa.org/22120023


          @misc{ pirsa_PIRSA:22120023,
            doi = {10.48660/22120023},
            url = {https://pirsa.org/22120023},
            author = {Kirklin, Joshua},
            keywords = {Quantum Gravity},
            language = {en},
            title = {Emergent classical gauge symmetry from quantum entanglement},
            publisher = {Perimeter Institute},
            year = {2022},
            month = {dec},
            note = {PIRSA:22120023 see, \url{https://pirsa.org}}

Joshua Kirklin Perimeter Institute for Theoretical Physics

Talk Type Scientific Series


Inspired by the emergence of bulk diffeomorphism invariance in holography, I will give an explicit description how entanglement between quantum subsystems can lead to emergent gauge symmetry in a classical limit. Along the way, I will provide a precise characterisation of when it is consistent to treat a quantum subsystem classically in such a limit, and show that this gives strong constraints on the entanglement structure of classical states. I will explain how this generically leads to emergent fundamentally non-local classical degrees of freedom, which may nevertheless be accounted for in a kinematically local way if one employs an appropriately redundant description. The mechanism I describe is general and elementary, but for concreteness I will exhibit a toy example involving three entangled spins at high angular momentum, and I will also describe a significant generalisation of this toy example based on coadjoint orbits. If there is time, I will discuss evidence for the role this phenomenon plays in gravity. This talk is based on arXiv:2209.03979.

Zoom link:  https://pitp.zoom.us/j/92066956880?pwd=OTRySTlOVGgvM3RCRmkzWHFVSUF3Zz09