Structure of Quantum Entanglement at a Finite Temperature Critical Point
arXiv:1907.01569 · doi:10.1103/PhysRevResearch.2.043345
Abstract
We propose a scheme to characterize long-range quantum entanglement close to a finite temperature critical point using tripartite entanglement negativity. As an application, we study a model with mean-field Ising critical exponents and find that the tripartite negativity does not exhibit any singularity in the thermodynamic limit across the transition. This indicates that the long-distance critical fluctuations are completely classical, allowing one to define a `quantum correlation length' that remains finite at the transition despite a divergent physical correlation length. Motivated by our model, we also study mixed state entanglement in tight-binding models of bosons with and time-reversal symmetry. By employing Glauber-Sudarshan `P-representation', we find a surprising result that such states have zero entanglement.
arXiv comment12 pages, 12 figures
References in corpus (75)
- Quantum entanglement
- A computable measure of entanglement
- Entanglement Entropy and Quantum Field Theory
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- Area laws for the entanglement entropy - a review
- Topological entanglement entropy
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Detecting topological order in a ground state wave function
- Aspects of Holographic Entanglement Entropy
- Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
- Entropy and Area
- Geometric and Renormalized Entropy in Conformal Field Theory
- Topological quantum memory
- The logarithmic negativity: A full entanglement monotone that is not convex
- Mixed-state entanglement and distillation: is there a ``bound'' entanglement in nature?
- On Geometric Entropy
- Entanglement entropy of fermions in any dimension and the Widom conjecture
- Entanglement negativity in quantum field theory
- Violation of the entropic area law for Fermions
- Measuring Renyi Entanglement Entropy with Quantum Monte Carlo
- Entanglement Properties of the Harmonic Chain
- A comparison of entanglement measures
- Does a single eigenstate encode the full Hamiltonian?
- Universal terms for the entanglement entropy in 2+1 dimensions
- Complexity and entanglement for thermofield double states
- Entanglement Entropy and the Fermi Surface
- Finite temperature entanglement negativity in conformal field theory
- Entanglement Entropy in the O(N) model
- Partial time-reversal transformation and entanglement negativity in fermionic systems
- Topological Order at Non-zero Temperature
- Variational Thermal Quantum Simulation via Thermofield Double States
- Entanglement Entropy of Gapped Phases and Topological Order in Three dimensions
- Entanglement negativity and topological order
- Negativity and topological order in the toric code
- Critical and noncritical long range entanglement in the Klein-Gordon field
- On the partial transpose of fermionic Gaussian states
- Edge theory approach to topological entanglement entropy, mutual information and entanglement negativity in Chern-Simons theories
- The entanglement negativity in random spin chains
- Scaling of entanglement between separated blocks in spin chains at criticality
- Entanglement negativity in the critical Ising chain
- Conformal Blocks and Negativity at Large Central Charge
- On Density-Matrix Spectra for Two-Dimensional Quantum Systems
- Weak and strong typicality in quantum systems
- How to Build the Thermofield Double State
- Thermodynamic entropy of a many body energy eigenstate
- Universal Signatures of Fractionalized Quantum Critical Points
- Thermal state entanglement in harmonic lattices
- Statistics dependence of the entanglement entropy
- Entanglement entropy and negativity of disjoint intervals in CFT: Some numerical extrapolations
- Entanglement negativity via replica trick: a Quantum Monte Carlo approach
- Finite-temperature mutual information in a simple phase transition
- Entanglement negativity in two-dimensional free lattice models
- Nonzero temperature Entanglement Negativity of quantum spin models: Area law, Linked Cluster Expansions and Sudden Death
- Renormalization group constructions of topological quantum liquids and beyond
- Thermal bound entanglement in macroscopic systems and area laws
- Product Spectrum Ansatz and the Simplicity of Thermal States
- Topological entanglement negativity in Chern-Simons theories
- Singularity in Entanglement Negativity Across Finite Temperature Phase Transitions
- Finite-temperature entanglement negativity of free fermions
- Entanglement Renyi negativity across a finite temperature transition: a Monte Carlo study
- Branch Point Twist Field Correlators in the Massive Free Boson Theory
- Entanglement negativity in a two dimensional harmonic lattice: Area law and corner contributions
- Entanglement negativity and sudden death in the toric code at finite temperature
- Entanglement entropy of the large Wilson-Fisher conformal field theory
- Distillable entanglement and area laws in spin and harmonic-oscillator systems
- Entanglement at a Two-Dimensional Quantum Critical Point: a T=0 Projector Quantum Monte Carlo Study
- Negativity Spectrum in the Random Singlet Phase
- Mixed s-sourcery: Building many-body states using bubbles of Nothing
- Two-cylinder entanglement entropy under a twist
- Sharp entanglement thresholds in the logarithmic negativity of disjoint blocks in the transverse-field Ising chain
- Entanglement and classical fluctuations at finite-temperature critical points
- Quantum correlations, separability and quantum coherence length in equilibrium many-body systems
- Cornering gapless quantum states via their torus entanglement
- Nonlocal Entanglement of 1D Thermal States Induced by Fermion Exchange Statistics
Cited by in corpus (30)
- Symmetry-resolved entanglement detection using partial transpose moments
- Many-body magic via Pauli-Markov chains -- from criticality to gauge theories
- Symmetric inseparability and number entanglement in charge conserving mixed states
- Symmetry-enforced many-body separability transitions
- Characterizing Long-Range Entanglement in a Mixed State Through an Emergent Order on the Entangling Surface
- Exponential clustering of bipartite quantum entanglement at arbitrary temperatures
- Disentangling transitions in topological order induced by boundary decoherence
- Tracking the variation of entanglement Rényi negativity: a quantum Monte Carlo study
- Randomized measurement protocols for lattice gauge theories
- Entanglement Rényi Negativity of Interacting Fermions from Quantum Monte Carlo Simulations
- Boundary conditions dependence of the phase transition in the quantum Newman-Moore model
- Disentangling (2+1)d Topological States of Matter with the Entanglement Negativity
- A Flat Space Analogue for the Quantum Origin of Structure
- Finite Temperature Entanglement Negativity of Fermionic Symmetry Protected Topological Phases and Quantum Critical Points in One Dimension
- Closure of the entanglement gap at quantum criticality: The case of the Quantum Spherical Model
- Thermal critical dynamics from equilibrium quantum fluctuations
- Entanglement gap, corners, and symmetry breaking
- Spin-echo and quantum versus classical critical fluctuations in TmVO
- Entanglement renormalization of thermofield double states
- Clustering of conditional mutual information and quantum Markov structure at arbitrary temperatures
- Symmetry protected entanglement in random mixed states
- Aspects of entanglement in non-local field theories with fractional Laplacian
- Entanglement in the pseudogap regime of cuprate superconductors
- Finite-temperature quantum discordant criticality
- Rényi entropy of quantum anharmonic chain at non-zero temperature
- Characterizing the Entanglement of Anyonic Systems using the Anyonic Partial Transpose
- Entanglement in the Quantum Spherical Model -- a Review
- Quantum Criticality in the infinite-range Transverse Field Ising Model
- Entanglement and private information in many-body thermal states
- Robust Mixed-State Cluster States and Spurious Topological Entanglement Negativity