PIRSA:14050082 Conference

DOI10.48660/14050082

Conference/School: Quantum Many-Body Dynamics

Vosk, R. (2014). Universal dynamics and topological order in many-body localized states. Perimeter Institute. https://pirsa.org/14050082

Vosk, Ronen. Universal dynamics and topological order in many-body localized states. Perimeter Institute, May. 15, 2014, https://pirsa.org/14050082 

@misc{ pirsa_PIRSA:14050082,
  doi = {10.48660/14050082},
  url = {https://pirsa.org/14050082},
  author = {Vosk, Ronen},
  keywords = {},
  language = {en},
  title = {Universal dynamics and topological order in many-body localized states},
  publisher = {Perimeter Institute},
  year = {2014},
  month = {may},
  note = {PIRSA:14050082 see, \url{https://pirsa.org}}
}

Abstract

It has been argued recently that, through a phenomenon of many-body localization, closed quantum systems subject to sufficiently strong disorder would fail to thermalize. In this talk I will describe a real time renormalization group approach, which offers a controlled description of universal dynamics in the localized phase. In particular it explains the ultra-slow entanglement propagation in this state and identifies the emergent conserved quantities which prevent thermalization. The RG analysis also shows, that far from being a trivial dead state, the MBL state admits phase transitions between distinct dynamical phases. For example, I will discuss the universal aspects of a transition between a paramagnetic localized state to one which exhibits spin-glass order. Finally, I will present a development of the RG scheme, defined on an effective coarse grained model, which allows to capture the transition from a many-body localized to a thermalizing state.

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