PIRSA:18020082 Scientific Series Quantum Fields and Strings

DOI10.48660/18020082

Series: Quantum Fields and Strings

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}}
}

Abstract

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. 

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