Quantum glassiness in strongly correlated clean systems: an example of topological overprotection.

Phys Rev Lett

Physics Department, Boston University, Boston, Massachusetts 02215, USA.

Published: February 2005

AI Article Synopsis

  • - The letter discusses quantum many-body Hamiltonians that can't achieve their ground states even at absolute zero temperature.
  • - These Hamiltonians, linked to topological quantum computing, exhibit no quenched disorder, only local interactions, and have an exactly solvable spectrum.
  • - Additionally, they possess topologically ordered ground states and demonstrate slow dynamical relaxation rates similar to strong structural glasses.

Article Abstract

This Letter presents solvable examples of quantum many-body Hamiltonians of systems that are unable to reach their ground states as the environment temperature is lowered to absolute zero. These examples, three-dimensional generalizations of quantum Hamiltonians proposed for topological quantum computing, (1) have no quenched disorder, (2) have solely local interactions, (3) have an exactly solvable spectrum, (4) have topologically ordered ground states, and (5) have slow dynamical relaxation rates akin to those of strong structural glasses.

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Source
http://dx.doi.org/10.1103/PhysRevLett.94.040402DOI Listing

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