Real-space entanglement spectrum of quantum Hall systems

Abstract

We study the real-space entanglement spectrum for fractional quantum Hall systems, which maintains locality along the spatial cut, and provide evidence that it possesses a scaling property. We also consider the closely-related particle entanglement spectrum, and carry out the Schmidt decomposition of the Laughlin state analytically at large size.

5 pages, 4 figures. V2: a bit more on non-locality of OP. V3: typos corrected; as published

References in corpus (6)

• Non-Abelian Anyons and Topological Quantum Computation
• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• Entanglement entropy in fermionic Laughlin states
• Bipartite entanglement entropy in fractional quantum Hall states
• Real-Space Entanglement Spectrum of Quantum Hall States
• Large N expansion for the 2D Dyson gas

Cited by in corpus (82)

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• Integer Quantum Hall State in Two-Component Bose Gases in a Synthetic Magnetic Field
• Entanglement spectroscopy of non-Abelian anyons: Reading off quantum dimensions of individual anyons
• Evaluation of ranks of real space and particle entanglement spectra for large systems
• Interactions along an Entanglement Cut in 2+1D Abelian Topological Phases
• Momentum-Space Entanglement Spectrum of Bosons and Fermions with Interactions
• Entanglement spectra between coupled Tomonaga-Luttinger liquids: Applications to ladder systems and topological phases
• Role of exciton screening in the 7/3 fractional quantum Hall effect
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• Investigation of the chiral antiferromagnetic Heisenberg model using PEPS
• Particle Entanglement Spectra for Quantum Hall states on Lattices
• Edge-entanglement spectrum correspondence in a nonchiral topological phase and Kramers-Wannier duality
• Exact Quantum Scars in the Chiral Non-Linear Luttinger Liquid
• Quantum Entanglement as a Diagnostic of Phase Transitions in Disordered Fractional Quantum Hall Liquids
• Operator content of entanglement spectra after global quenches in the transverse field Ising chain
• Fluctuations and Entanglement spectrum in quantum Hall states
• Equipartition of Entanglement in Quantum Hall States
• Microscopic Study of the Halperin - Laughlin Interface through Matrix Product States
• Model States for a Class of Chiral Topological Order Interfaces
• Variational Ansatz for an Abelian to non-Abelian Topological Phase Transition in $\nu =1/2+1/2$ Bilayers
• Entanglement Spectrum of Composite Fermion States in Real Space
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• The enigma of the $\nu =2+\frac{3}{8}$ fractional quantum Hall effect
• Entanglement Spectra of Heisenberg Ladders of higher Spin
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• Matrix Product State description of the Halperin States
• Entanglement subspaces, trial wavefunctions, and special Hamiltonians in the fractional quantum Hall effect
• Matrix Product State Description and Gaplessness of the Haldane-Rezayi State
• Real-space entanglement spectra of parton states in fractional quantum Hall systems
• Search for exact local Hamiltonians for general fractional quantum Hall states
• Capacity of entanglement and distribution of density matrix eigenvalues in gapless systems
• Interplay of $SU(2)$, point group and translation symmetry for PEPS: application to a chiral spin liquid
• Entanglement Spectra and Entanglement Thermodynamics of Hofstadter Bilayers
• Evolution of quantum entanglement with disorder in fractional quantum Hall liquids
• Dynamics and level statistics of interacting fermions in the Lowest Landau Level
• Momentum-Space Entanglement in Heisenberg Spin-Half Ladders
• Local density of states and particle entanglement in topological quantum fluids
• Composite fermion model for entanglement spectrum of fractional quantum Hall states
• Bulk-Edge Correspondence in Fractional Quantum Hall States
• Paired fermions in strong magnetic fields and daughters of even-denominator Hall plateaus
• Determining the structure of real-space entanglement spectrum from approximate conditional independence
• Fractional Quantum Hall Matrix Product States For Interacting Conformal Field Theories
• Laughlin topology on fractal lattices without area law entanglement
• On the Structure of Edge State Inner Products in the Fractional Quantum Hall Effect
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• Entanglement Action for the Real-Space Entanglement Spectra of Composite Fermion Wave Functions
• Unconventional Filling Factor 4/11: A Closed-Form Ground State Wave Function
• Entanglement entropy for integer quantum Hall effect in two and higher dimensions
• Intercomponent entanglement entropy and spectrum in binary Bose-Einstein condensates
• Closure of the entanglement gap at quantum criticality: The case of the Quantum Spherical Model
• Deformed Fredkin model for the $\nu =5/2$ Moore-Read state on thin cylinders
• Conformal field theory approach to parton fractional quantum Hall trial wave functions
• Entanglement gap, corners, and symmetry breaking
• Continuous phase transitions between fractional quantum Hall states and symmetry-protected topological states
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• Entanglement for Quantum Hall states and a Generalized Chern-Simons Form
• The entanglement entropy of the quantum Hall edge and its geometric contribution
• On the particle entanglement spectrum of the Laughlin states
• Fermionic symmetry-protected topological state in strained graphene
• Entanglement spectrum edge reconstruction and correlation hole of the FQH liquids
• Thermoelectric Hall conductivity of the fractional quantum Hall systems on a disk
• Energy space entanglement spectrum of pairing models with s-wave and p-wave symmetry
• Free and Interacting Fermionic Conformal Field Theories on the Fuzzy Sphere
• Chiral topological states in Bose-Fermi mixtures
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• The length scale measurements of the Fractional quantum Hall state on cylinder
• Characterizing maximally many-body entangled fermionic states by using $M$-body density matrix
• Fractional quantum Hall interface induced by geometric singularity
• Observable-enriched entanglement
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• Disorder-driven phase transitions in bosonic fractional quantum Hall liquids
• Dynamical Geometry of the Haldane Model under a Quantum Quench
• Bisognano-Wichmann Hamiltonian for the entanglement spectroscopy of fractional quantum Hall states