PIRSA:14050082

Universal dynamics and topological order in many-body localized states

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}}
          }

Ronen Vosk Weizmann Institute of Science

Talk numberPIRSA:14050082
DOI10.48660/14050082
Collection
Talk Type Conference

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.