No-Go Theorem for Boson Condensation in Topologically Ordered Quantum Liquids
Journal Article - Open Access
University of Zurich Zurich Switzerland
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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.
- Quantum Theory and Relativity
- Physical Chemistry