Renyi Entanglement Entropy of Interacting Fermions Calculated Using Continuous-Time Quantum Monte Carlo Method
arXiv:1407.0707 · doi:10.1103/PhysRevLett.113.110401
Abstract
We present a new algorithm for calculating the Renyi entanglement entropy of interacting fermions using the continuous-time quantum Monte Carlo method. The algorithm only samples interaction correction of the entanglement entropy, which by design ensures efficient calculation of weakly interacting systems. Combined with Monte Carlo reweighting, the algorithm also performs well for systems with strong interactions. We demonstrate the potential of this method by studying the quantum entanglement signatures of the charge-density-wave transition of interacting fermions on a square lattice.
arXiv commentAdded references and footnote [53]
References in corpus (40)
- Entanglement Entropy and Quantum Field Theory
- Area laws for the entanglement entropy - a review
- Topological entanglement entropy
- Detecting topological order in a ground state wave function
- Continuous-time Monte Carlo methods for quantum impurity models
- Calculation of reduced density matrices from correlation functions
- Area laws in quantum systems: mutual information and correlations
- The ALPS project release 2.0: Open source software for strongly correlated systems
- Continuous Time Quantum Monte Carlo method for fermions
- Identifying Topological Order by Entanglement Entropy
- Entanglement entropy of fermions in any dimension and the Widom conjecture
- Violation of the entropic area law for Fermions
- Measuring Renyi Entanglement Entropy with Quantum Monte Carlo
- Interacting anyons in topological quantum liquids: The golden chain
- Pinning the order: the nature of quantum criticality in the Hubbard model on honeycomb lattice
- Topological Entanglement Entropy of a Bose-Hubbard Spin Liquid
- Correlation Effects in Quantum Spin-Hall Insulators: A Quantum Monte Carlo Study
- Entanglement Entropy and the Fermi Surface
- Entanglement entropy of critical spin liquids
- Quantum Monte Carlo calculation of entanglement Renyi entropies for generic quantum systems
- Numerical study of entanglement entropy in SU(2) lattice gauge theory
- Quantum Entanglement of Interacting Fermions in Monte Carlo
- Entanglement probe of two-impurity Kondo physics in a spin chain
- Finite Size Scaling of Mutual Information: A Scalable Simulation
- Scaling of Rényi entanglement entropies of the free Fermi-gas ground state: a rigorous proof
- Solution to sign problems in half-filled spin-polarized electronic systems
- Topological Entanglement Entropy from the Holographic Partition Function
- Infinite-Randomness Fixed Points for Chains of Non-Abelian Quasiparticles
- Entanglement Spectra of Interacting Fermions in Quantum Monte Carlo Simulations
- Finite Temperature Critical Behavior of Mutual Information
- Quantum Impurity Entanglement
- Renyi Entropy of the Interacting Fermi Liquid
- Entanglement Entropy of Fermi Liquids via Multi-dimensional Bosonization
- Entanglement in ground and excited states of gapped fermion systems and their relationship with fermi surface and thermodynamic equilibrium properties
- Detecting Classical Phase Transitions with Renyi Mutual Information
- Renyi Entropies of Interacting Fermions from Determinantal Quantum Monte Carlo Simulations
- Impurity Entanglement Entropy and the Kondo Screening Cloud
- Violation of Entanglement-Area Law in Bosonic Systems with Bose Surfaces: Possible Application to Bose Metals
- Particle entanglement in continuum many-body systems via quantum Monte Carlo
- Impurity entanglement entropy in Kondo systems from conformal field theory
Cited by in corpus (41)
- Quantum entanglement in condensed matter systems
- Solving fermion sign problem in quantum Monte Carlo by Majorana representation
- Sign-Problem-Free Fermionic Quantum Monte Carlo: Developments and Applications
- Split orthogonal group: A guiding principle for sign-problem-free fermionic simulations
- QIST: An open source continuous-time quantum Monte Carlo impurity solver toolkit
- Entanglement Hamiltonian of Interacting Fermionic Models
- Stable Quantum Monte Carlo Simulations for Entanglement Spectra of Interacting Fermions
- Out-of-equilibrium protocol for Rényi entropies via the Jarzynski equality
- Thermodynamic and information-theoretic description of the Mott transition in the two-dimensional Hubbard model
- Efficient Continuous-time Quantum Monte Carlo Method for the Ground State of Correlated Fermions
- Universal features of entanglement entropy in the honeycomb Hubbard model
- Topological Multipartite Entanglement in a Fermi Liquid
- A hybrid Monte Carlo approach to the entanglement entropy of interacting fermions
- Stochastic series expansion simulation of the - model
- Renyi entanglement entropy of Fermi liquids and non-Fermi liquids: Sachdev-Ye-Kitaev model and dynamical mean field theories
- Entanglement, noise, and the cumulant expansion
- On the entropic derivation of the Newtonian gravity force
- Kondo Breakdown via Fractionalization in a Frustrated Kondo Lattice Model
- Entanglement and the fermion sign problem in auxiliary field quantum Monte Carlo simulations
- Entanglement properties of the antiferromagnetic-singlet transition in the Hubbard model on bilayer square lattices
- Continuous-time quantum Monte Carlo for fermion-boson lattice models: Improved bosonic estimators and application to the Holstein model
- Spatial entanglement entropy in the ground state of the Lieb-Liniger model
- Determination of Tomonaga-Luttinger parameters for a two-component liquid
- Entanglement entropy in scalar field theory and gauge theory on Feynman diagrams
- Wilsonian Effective Action and Entanglement Entropy
- Entanglement Rényi Negativity of Interacting Fermions from Quantum Monte Carlo Simulations
- Troublesome aspects of the Renyi-MaxEnt treatment
- Non-Gaussianity of Entanglement Entropy and Correlations of Composite Operators
- The entanglement spectrum and Rényi entropies of non-relativistic conformal fermions
- A Rényi entropy perspective on topological order in classical toric code models
- Dimensional Regularization of Renyi's Statistical Mechanics
- Dynamical mean-field theory for Rényi entanglement entropy and mutual Information in Hubbard Model
- Rescuing the MaxEnt treatment for -generalized entropies
- Entanglement in topological systems
- Entanglement of Free Fermions and Bosons at Finite Temperature
- Entanglement studies of interacting fermionic models
- Convexity of the entanglement energy of SU()-symmetric fermions with attractive interactions
- Universal term of Entanglement Entropy in the -flux Hubbard model
- Strong correlations between the exponent and the particle number for a Renyi-monoatomic gas in Gibbs' statistical mechanics
- Reciprocity relations and generalized entropic quantifiers that lack trace-form
- Features of constrained entropic functional variational problems