Quantum phases of a chain of strongly interacting anyons

Abstract

We study a strongly interacting chain of anyons with fusion rules determined by SO(5)2. The phase portrait is identified with a combination of numerical and analytical techniques. Several critical phases with different central charges and their corresponding transitions identified.

arXiv comment5 pages, 4 figures

References in corpus (44)

• Fault-tolerant quantum computation by anyons
• Non-Abelian Anyons and Topological Quantum Computation
• Anyons in an exactly solved model and beyond
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• The density-matrix renormalization group in the age of matrix product states
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• The density-matrix renormalization group
• Entanglement Entropy and Quantum Field Theory
• Search for Majorana fermions in superconductors
• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• Efficient simulation of one-dimensional quantum many-body systems
• Logic gates at the surface code threshold: Superconducting qubits poised for fault-tolerant quantum computing
• Topological quantum memory
• Entanglement renormalization
• Beyond paired quantum Hall states: parafermions and incompressible states in the first excited Landau level
• A class of quantum many-body states that can be efficiently simulated
• Time-dependent variational principle for quantum lattices
• Majorana Fermions in Semiconductor Nanowires
• Interacting anyons in topological quantum liquids: The golden chain
• Simulation of strongly correlated fermions in two spatial dimensions with fermionic Projected Entangled-Pair States
• Scaling of entanglement support for Matrix Product States
• Fermionic Projected Entangled Pair States
• Topological characterization of fractional quantum Hall ground states from microscopic Hamiltonians
• Topological Kondo effect with Majorana fermions
• Fermionic multi-scale entanglement renormalization ansatz
• Variational matrix product ansatz for dispersion relations
• Simulation of interacting fermions with entanglement renormalization
• Collective States of Interacting Anyons, Edge States, and the Nucleation of Topological Liquids
• Matrix product states and variational methods applied to critical quantum field theory
• Anyonic quantum spin chains: Spin-1 generalizations and topological stability
• Multi-channel Kondo impurity dynamics in a Majorana device
• Collective states of interacting Fibonacci anyons
• Simulation of anyons with tensor network algorithms
• Metaplectic Anyons, Majorana Zero Modes, and their Computational Power
• Bethe ansatz solution of the topological Kondo model
• Anyonic entanglement renormalization
• Quantum spin chains of Temperley-Lieb type: periodic boundary conditions, spectral multiplicities and finite temperature
• Matrix product states for anyonic systems and efficient simulation of dynamics
• Quantum spin ladders of non-Abelian anyons
• One-dimensional itinerant interacting non-Abelian anyons
• Fractionalization of itinerant anyons in one dimensional chains
• Fateev-Zamolodchikov spin chain: excitation spectrum, completeness and thermodynamics
• Monte Carlo Simulations of Interacting Anyon Chains
• Integrability in anyonic quantum spin chains via a composite height model

Cited by in corpus (12)

• Bulk Anyons as Edge Symmetries: Boundary Phase Diagrams of Topologically Ordered States
• Generalized string-nets for unitary fusion categories without tetrahedral symmetry
• Exact solution of the $D_3$ non-Abelian anyon chain
• ${\mathbf{Z}}_n$ clock models and chains of $so(n{)}_2$ non-Abelian anyons: symmetries, integrable points and low energy properties
• Effective models of doped quantum ladders of non-Abelian anyons
• Elaborating the phase diagram of spin-1 anyonic chains
• Non-Abelian $SU(3{)}_k$ anyons: inversion identities for higher rank face models
• Factorization of density matrices in the critical RSOS models
• Signatures of non-Abelian anyons in the thermodynamics of an interacting fermion model
• Condensation of non-Abelian $SU(3{)}_{N_f}$ anyons in a one-dimensional fermion model
• Condensates of interacting non-Abelian $SO(5{)}_{N_f}$ anyons
• Phases of Interacting Fibonacci Anyons on a Ladder at Half-Filling