Corner contribution to the entanglement entropy of strongly-interacting O(2) quantum critical systems in 2+1 dimensions

Abstract

In a D=2+1 quantum critical system, the entanglement entropy across a boundary with a corner contains a subleading logarithmic scaling term with a universal coefficient. It has been conjectured that this coefficient is, to leading order, proportional to the number of field components N in the associated O(N) continuum ${\varphi }^4$ field theory. Using density matrix renormalization group calculations combined with the powerful numerical linked cluster expansion technique, we confirm this scenario for the O(2) Wilson-Fisher fixed point in a striking way, through direct calculation at the quantum critical points of two very different microscopic models. The value of this corner coefficient is, to within our numerical precision, twice the coefficient of the Ising fixed point. Our results add to the growing body of evidence that this universal term in the Rényi entanglement entropy reflects the number of low-energy degrees of freedom in a system, even for strongly interacting theories.

6 pages, 6 figures

References in corpus (16)

• "Deconfined" quantum critical points
• Towards a derivation of holographic entanglement entropy
• Entanglement entropy of 2D conformal quantum critical points: hearing the shape of a quantum drum
• Entanglement entropy, conformal invariance and extrinsic geometry
• Universal terms for the entanglement entropy in 2+1 dimensions
• Numerical Linked-Cluster Approach to Quantum Lattice Models
• A Short Introduction to Numerical Linked-Cluster Expansions
• Numerical Linked-Cluster Algorithms. I. Spin systems on square, triangular, and kagome lattices
• On Shape Dependence and RG Flow of Entanglement Entropy
• Entanglement entropy scaling in the bilayer Heisenberg spin system
• Numerical Linked-Cluster Algorithms. II. t-J models on the square lattice
• Thermodynamic singularities in the entanglement entropy at a 2D quantum critical point
• The Ubiquitous 'c': from the Stefan-Boltzmann Law to Quantum Information
• Renyi Entropy and Geometry
• Quantum Critical Universality and Singular Corner Entanglement Entropy of Bilayer Heisenberg-Ising model
• On the entanglement across a cubic interface in 3+1 dimensions

Cited by in corpus (22)

• The ITensor Software Library for Tensor Network Calculations
• Universality of corner entanglement in conformal field theories
• Corner contributions to holographic entanglement entropy in AdS4/BCFT3
• Multipartitioning topological phases by vertex states and quantum entanglement
• Universal features of entanglement entropy in the honeycomb Hubbard model
• Scaling of entanglement in $2+1$-dimensional scale-invariant field theories
• Numerical linked cluster expansions for quantum quenches in one dimensional lattices
• Universal signatures of Dirac fermions in entanglement and charge fluctuations
• Numerical linked cluster expansions for inhomogeneous systems
• Entanglement of skeletal regions
• Conformal bounds in three dimensions from entanglement entropy
• Geometric entanglement in integer quantum Hall states
• Hybrid quantum-classical algorithm for the transverse-field Ising model in the thermodynamic limit
• A Path Integral Ground State Monte Carlo Algorithm for Entanglement of Lattice Bosons
• Linked Cluster Expansions via Hypergraph Decompositions
• Non-perturbative linked-cluster expansions in long-range ordered quantum systems
• Shape dependence of two-cylinder Renyi entropies for free bosons on a lattice
• Closure of the entanglement gap at quantum criticality: The case of the Quantum Spherical Model
• Entanglement gap, corners, and symmetry breaking
• Bicolor loop models and their long range entanglement
• L-based numerical linked cluster expansion for square lattice models
• Extracting quantum-critical properties from directly evaluated enhanced perturbative continuous unitary transformations