Accession Number:

AD1082542

Title:

No-Go Theorem for Boson Condensation in Topologically Ordered Quantum Liquids

Descriptive Note:

Journal Article - Open Access

Corporate Author:

University of Zurich Zurich Switzerland

Report Date:

2016-12-07

Pagination or Media Count:

11.0

Abstract:

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 SO3k TQFTs with odd k. We further show that a layered theory obtained by tensoring SO3k TQFT with itself any integer number of times does not admit condensation transitions either. This includes as the case k3 the noncondensability of any number of layers of the Fibonacci TQFT.

Subject Categories:

  • Quantum Theory and Relativity
  • Physical Chemistry

Distribution Statement:

APPROVED FOR PUBLIC RELEASE