Continuous Preparation of a Fractional Chern Insulator

Abstract

We present evidence of a direct, continuous quantum phase transition between a Bose superfluid and the $\nu =1/2$ fractional Chern insulator in a microscopic lattice model. In the process, we develop a detailed field theoretic description of this transition in terms of the low energy vortex dynamics. The theory explicitly accounts for the structure of lattice symmetries and predicts a Landau forbidden transition that is protected by inversion. That the transition is continuous enables the quasi-adiabatic preparation of the fractional Chern insulator in non-equilibrium, quantum optical systems.

9 pages, 5 figures. Version 2: revised presentation of numerical diagnostics

References in corpus (13)

• High temperature fractional quantum Hall states
• Fractional quantum Hall states at zero magnetic field
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• Nearly-flat bands with nontrivial topology
• Fractional quantum Hall effect in the absence of Landau levels
• Fractional Quantum Hall Effect in Optical Lattices
• Fractional Chern Insulators in Topological Flat bands with Higher Chern Number
• Putting competing orders in their place near the Mott transition
• Quantum Phase Transition between Integer Quantum Hall States of Bosons
• The quantum adiabatic algorithm and scaling of gaps at first order quantum phase transitions
• Topological bands with Chern number C=2 by dipolar exchange interactions
• Fractional Quantum Hall States of Rydberg Polaritons
• Continuous transitions between composite Fermi liquid and Landau Fermi liquid: a route to fractionalized Mott insulators

Cited by in corpus (18)

• Realization of a fractional quantum Hall state with ultracold atoms
• Phase transitions and adiabatic preparation of a fractional Chern insulator in a boson cold atom model
• Stability of fractional Chern insulators in the effective continuum limit of Harper-Hofstadter bands with Chern number $|C|>1$
• Phase transitions out of quantum Hall states in moiré materials
• ${\mathbb{Z}}_2$ lattice gauge theories and Kitaev's toric code: A scheme for analog quantum simulation
• Recent Developments in Fractional Chern Insulators
• Bosonic Pfaffian State in the Hofstadter-Bose-Hubbard Model
• Charge and statistics of lattice quasiholes from density measurements: a Tree Tensor Network study
• Measurable signatures of bosonic fractional Chern insulator states and their fractional excitations in a quantum-gas microscope
• Deconfined criticalities and dualities between chiral spin liquid, topological superconductor and charge density wave Chern insulator
• Growing Extended Laughlin States in a Quantum Gas Microscope: A Patchwork Construction
• Emergent QCD${}_3$ Quantum Phase Transitions of Fractional Chern Insulators
• Phase transitions of bosonic fractional quantum Hall effect in topological flat bands
• Floquet Flux Attachment in Cold Atomic Systems
• Continuous Transition between Bosonic Fractional Chern Insulator and Superfluid
• Optimal control for preparing fractional quantum Hall states in optical lattices
• Self-duality protected multi-criticality in deconfined quantum phase transitions
• Fractional Wannier Orbitals and Tight-Binding Gauge Fields for Kitaev Honeycomb Superlattices with Flat Majorana Bands