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Title: No-go theorem for boson condensation in topologically ordered quantum liquids

Certain phase transitions between topological quantum field theories (TQFTs) are driven by the condensation of bosonic anyons. However, as bosons in a TQFT are themselves nontrivial collective excitations, there can be topological obstructions that prevent them from condensing. Here we formulate such an obstruction in the form of a no-go theorem. We use it to show that no condensation is possible in SO(3) k TQFTs with odd k. We further show that a 'layered' theory obtained by tensoring SO(3) k TQFT with itself any integer number of times does not admit condensation transitions either. Furthermore, this includes (as the case k = 3) the noncondensability of any number of layers of the Fibonacci TQFT.
ORCiD logo [1] ;  [2] ;  [2] ;  [3] ;  [2]
  1. Univ. of Zurich, Zurich (Switzerland); Princeton Univ., Princeton, NJ (United States)
  2. Princeton Univ., Princeton, NJ (United States)
  3. Instituto de Fisica Teorica, Madrid (Spain)
Publication Date:
Grant/Contract Number:
Accepted Manuscript
Journal Name:
New Journal of Physics
Additional Journal Information:
Journal Volume: 18; Journal Issue: 12; Journal ID: ISSN 1367-2630
IOP Publishing
Research Org:
Princeton Univ., Princeton, NJ (United States). Princeton Center for Theoretical Science
Sponsoring Org:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
Country of Publication:
United States
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; topological order; Bose–Einstein condensation; topological quantum field theory
OSTI Identifier: