105 citations · 288 across the 7 of their papers we have counts for
7 papers
Anyonic quantum spin chains: Spin-1 generalizations and topological stability
Charlotte Gils, Eddy Ardonne, Simon Trebst +4
There are many interesting parallels between systems of interacting non-Abelian anyons and quantum magnetism, occuring in ordinary SU(2) quantum magnets. Here we consider theories…
Topological Phases: An Expedition off Lattice
Michael H. Freedman, Lukas Gamper, Charlotte Gils +3
Motivated by the goal to give the simplest possible microscopic foundation for a broad class of topological phases, we study quantum mechanical lattice models where the topology of…
A quantum spin approach to histone dynamics
C. Gils, J. L. Wrana, W. K. Abou Salem
Post-translational modifications of histone proteins are an important factor in epigenetic control that serve to regulate transcription, depending on the particular modification st…
Topology driven quantum phase transitions in time-reversal invariant anyonic quantum liquids
Charlotte Gils, Simon Trebst, Alexei Kitaev +3
Indistinguishable particles in two dimensions can be characterized by anyonic quantum statistics more general than those of bosons or fermions. Such anyons emerge as quasiparticles…
Ashkin-Teller universality in a quantum double model of Ising anyons
Charlotte Gils
We study a quantum double model whose degrees of freedom are Ising anyons. The terms of the Hamiltonian of this system give rise to a competition between single and double topologi…
Collective States of Interacting Anyons, Edge States, and the Nucleation of Topological Liquids
Charlotte Gils, Eddy Ardonne, Simon Trebst +3
Quantum mechanical systems, whose degrees of freedom are so-called su(2)_k anyons, form a bridge between ordinary SU(2) spin systems and systems of interacting non-Abelian anyons.…