Bisognano-Wichmann Hamiltonian for the entanglement spectroscopy of fractional quantum Hall states
arXiv:2312.07604 · doi:10.1103/PhysRevB.111.115162
Abstract
We study the Bisognano-Wichmann Hamiltonian for fractional quantum Hall states defined on a sphere and explore its relationship with the entanglement Hamiltonian associated to the state. We present results for several examples, namely the bosonic Laughlin state stabilized by contact two-body interactions and the bosonic Moore-Read state stabilized by either three- or two-body interactions. Our findings demonstrate that the Bisognano-Wichmann Hamiltonian provides a reliable approximation of the entanglement Hamiltonian as a fully-local operator that can be written without any prior knowledge of the specific state under consideration.
arXiv comment11+7 pages, 10 figures
References in corpus (42)
- Topological entanglement entropy
- Detecting topological order in a ground state wave function
- Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
- Topological orders and Edge excitations in FQH states
- Beyond paired quantum Hall states: parafermions and incompressible states in the first excited Landau level
- Zoo of quantum-topological phases of matter
- Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order
- Rapidly Rotating Atomic Gases
- Quantum Phases of Vortices in Rotating Bose-Einstein Condensates
- General Relationship Between the Entanglement Spectrum and the Edge State Spectrum of Topological Quantum States
- Quasiholes and fermionic zero modes of paired fractional quantum Hall states: the mechanism for nonabelian statistics
- Do attractive bosons condense?
- Quantum Hall fractions in rotating Bose-Einstein condensates
- The entanglement gap and a new principle of adiabatic continuity
- Edge excitations of paired fractional quantum Hall states
- Bulk-Edge Correspondence in the Entanglement Spectra
- Edge state inner products and real-space entanglement spectrum of trial quantum Hall states
- Parafermion Hall states from coset projections of abelian conformal theories
- A geometric proof of the equality between entanglement and edge spectra
- Quantum Simulation and Spectroscopy of Entanglement Hamiltonians
- Real-Space Entanglement Spectrum of Quantum Hall States
- Measurement Protocol for the Entanglement Spectrum of Cold Atoms
- Real-space entanglement spectrum of quantum Hall systems
- Exploring Large-Scale Entanglement in Quantum Simulation
- Quantum Hall fractions for spinless Bosons
- Measurement of the entanglement spectrum of a symmetry-protected topological state using the IBM quantum computer
- Entanglement Hamiltonians of lattice models via the Bisognano-Wichmann theorem
- Entanglement spectroscopy on a quantum computer
- Entanglement entropy of integer Quantum Hall states
- Evaluation of ranks of real space and particle entanglement spectra for large systems
- Entanglement Hamiltonians: from field theory, to lattice models and experiments
- Landau Level Quantization on the Sphere
- Entanglement Hamiltonian of quantum critical chains and conformal field theories
- Equipartition of Entanglement in Quantum Hall States
- Hierarchical structure in the orbital entanglement spectrum in Fractional Quantum Hall systems
- Lattice Bisognano-Wichmann modular Hamiltonian in critical quantum spin chains
- Bosonic Pfaffian State in the Hofstadter-Bose-Hubbard Model
- Bulk-Edge Correspondence in Fractional Quantum Hall States
- Entanglement Action for the Real-Space Entanglement Spectra of Composite Fermion Wave Functions
- Spectrum estimation of density operators with alkaline-earth atoms
- Measuring topological entanglement entropy using Maxwell relations
- Entanglement Entropy and Duality in AdS(4)