Dissipative preparation of fractional Chern insulators

Abstract

We report on the numerically exact simulation of the dissipative dynamics governed by quantum master equations that feature fractional quantum Hall states as unique steady states. In particular, for the paradigmatic Hofstadter model, we show how Laughlin states can be to good approximation prepared in a dissipative fashion from arbitrary initial states by simply pumping strongly interacting bosons into the lowest Chern band of the corresponding single-particle spectrum. While pure (up to topological degeneracy) steady states are only reached in the low-flux limit or for extended hopping range, we observe a certain robustness regarding the overlap of the steady state with fractional quantum Hall states for experimentally well-controlled flux densities. This may be seen as an encouraging step towards addressing the long-standing challenge of preparing strongly correlated topological phases in quantum simulators.

8 pages, 5 figures, published version

References in corpus (14)

• Many-Body Physics with Ultracold Gases
• Non-Abelian Anyons and Topological Quantum Computation
• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• Topological Quantum Matter with Ultracold Gases in Optical Lattices
• Ultracold atoms out of equilibrium
• Composite Fermion Theory for Bosonic Atoms in Optical Lattices
• Dissipative preparation of Chern insulators
• Wavefunctionology: The Special Structure of Certain Fractional Quantum Hall Wavefunctions
• Thirty Years of Composite Fermions and Beyond
• Induced self-stabilization in fractional quantum Hall states of light
• Fate of fractional quantum Hall states in open quantum systems: characterization of correlated topological states for the full Liouvillian
• Noise-driven quantum criticality
• Dissipative dynamics of atomic Hubbard models coupled to a phonon bath: Dark state cooling of atoms within a Bloch band of an optical lattice

Cited by in corpus (9)

• Liouvillian Skin Effect in an Exactly Solvable Model
• Recent Developments in Fractional Chern Insulators
• Many-Body Open Quantum Systems
• Symmetry-Preserving Quadratic Lindbladian and Dissipation Driven Topological Transitions in Gaussian States
• Cavity-based reservoir engineering for Floquet-engineered superconducting circuits
• Topological gauge theory for mixed Dirac stationary states in all dimensions
• Stabilizing the Laughlin state of light: dynamics of hole fractionalization
• An effective curved space-time geometric theory of generic twist angle graphene with application to a rotating bilayer configuration
• Feedback cooling of fermionic atoms in optical lattices