PIRSA:14050077 Conference

DOI10.48660/14050077

Conference/School: Quantum Many-Body Dynamics

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}}
}

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.

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