Entanglement Structure of Deconfined Quantum Critical Points

Abstract

We study the entanglement properties of deconfined quantum critical points. We show not only that these critical points may be distinguished by their entanglement structure but also that they are in general more highly entangled that conventional critical points. We primarily focus on computations of the entanglement entropy of deconfined critical points in 2+1 dimensions, drawing connections to topological entanglement entropy and a recent conjecture on the monotonicity under RG flow of universal terms in the entanglement entropy. We also consider in some detail a variety of issues surrounding the extraction of universal terms in the entanglement entropy. Finally, we compare some of our results to recent numerical simulations.

12 pages, 4 figures

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Cited by in corpus (24)

• Entanglement at a Two-Dimensional Quantum Critical Point: a Numerical Linked Cluster Expansion Study
• Scaling of the entanglement spectrum near quantum phase transitions
• Scaling of entanglement entropy at deconfined quantum criticality
• Universal crossovers between entanglement entropy and thermal entropy
• Chiral Symmetry Breaking, Deconfinement and Entanglement Monotonicity
• Measuring Rényi entanglement entropy with high efficiency and precision in quantum Monte Carlo simulations
• Corner contribution to the entanglement entropy of strongly-interacting O(2) quantum critical systems in 2+1 dimensions
• Origin of fermion masses without spontaneous symmetry breaking
• Detecting Classical Phase Transitions with Renyi Mutual Information
• Bounds on corner entanglement in quantum critical states
• Entanglement Entropy of U(1) Quantum Spin Liquids
• Transition from the ${\mathbb{Z}}_2$ spin liquid to antiferromagnetic order: spectrum on the torus
• Entanglement does not generally decrease under renormalization
• Exotic continuous quantum phase transition between Z2 topological spin liquid and Neel order
• Gapless symmetry-protected topological phases and generalized deconfined critical points from gauging a finite subgroup
• Kondo Breakdown via Fractionalization in a Frustrated Kondo Lattice Model
• Area law violations in a supersymmetric model
• Cornering gapless quantum states via their torus entanglement
• Entanglement in Weakly Coupled Lattice Gauge Theories
• Emergent self-duality in long range critical spin chain: from deconfined criticality to first order transition
• Entanglement sum rules in exactly solvable models
• An analog of topological entanglement entropy for mixed states
• Resummation-based Quantum Monte Carlo for Entanglement Entropy Computation
• Deconfined criticality as intrinsically gapless topological state in one dimension