PIRSA:14050077

Localization and topology protected quantum coherence at the edge of 'hot' matter

Altman, E. (2014). Localization and topology protected quantum coherence at the edge of 'hot' matter. Perimeter Institute. https://pirsa.org/14050077

Altman, Ehud. Localization and topology protected quantum coherence at the edge of 'hot' matter. Perimeter Institute, May. 14, 2014, https://pirsa.org/14050077 

          @misc{ pirsa_PIRSA:14050077,
            doi = {10.48660/14050077},
            url = {https://pirsa.org/14050077},
            author = {Altman, Ehud},
            keywords = {},
            language = {en},
            title = {Localization and topology protected quantum coherence at the edge of {\textquoteright}hot{\textquoteright} matter},
            publisher = {Perimeter Institute},
            year = {2014},
            month = {may},
            note = {PIRSA:14050077 see, \url{https://pirsa.org}}
          }

Ehud Altman University of California, Berkeley

Talk numberPIRSA:14050077
DOI10.48660/14050077
Collection
Talk Type Conference

Abstract

Topological phases are often characterized by special edge states confined near the boundaries by an energy gap in the bulk. On raising temperature, these edge states are lost in a clean system due to mobile thermal excitations. Recently however, it has been established that disorder can localize an isolated many body system, potentially allowing for a sharply defined topological phase even in a highly excited state.I will show this to be the case for the topological phase of a one dimensional magnet with quenched disorder, which features spin one-half excitations at the edges. The time evolution of a simple, highly excited, initial state is used to reveal quantum coherent edge spins. In particular, I will demonstrate, using theoretical arguments and numerical simulation, the coherent revival of an edge spin over a time scale that grows exponentially bigger with system size. This is in sharp contrast to the general expectation that quantum bits strongly coupled to a 'hot' many body system will rapidly lose coherence.