Modular Berry Connection


Lamprou, L. (2018). Modular Berry Connection. Perimeter Institute. https://pirsa.org/18020082


Lamprou, Lampros. Modular Berry Connection. Perimeter Institute, Feb. 27, 2018, https://pirsa.org/18020082


          @misc{ pirsa_PIRSA:18020082,
            doi = {10.48660/18020082},
            url = {https://pirsa.org/18020082},
            author = {Lamprou, Lampros},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Modular Berry Connection},
            publisher = {Perimeter Institute},
            year = {2018},
            month = {feb},
            note = {PIRSA:18020082 see, \url{https://pirsa.org}}

Lampros Lamprou Massachusetts Institute of Technology (MIT) - Department of Physics


States of a CFT's subregions are consistent with a given global state. For a holographic CFT, this amounts to different entanglement wedges being patches of the same geometry. What relations between them make this possible?


I will propose a Berry experiment to study this question. Berry introduced a connection to describe transformations induced by adiabatically varying Hamiltonians. I will introduce a connection to study how the zero modes of a modular Hamiltonian are affected by varying the CFT subregion that supplies it. I will explain the geometric meaning of modular Berry phases in the bulk and describe an experiment to measure them which involves observers moving with adiabatically varying accelerations.