Entanglement and classical correlations at the doping-driven Mott transition in the two-dimensional Hubbard model
arXiv:2007.00562 · doi:10.1103/PRXQuantum.1.020310
Abstract
Tools of quantum information theory offer a new perspective to characterize phases and phase transitions in interacting many-body quantum systems. The Hubbard model is the archetypal model of such systems and can explain rich phenomena of quantum matter with minimal assumptions. Recent measurements of entanglement-related properties of this model using ultracold atoms in optical lattices hint that entanglement could provide the key to understanding open questions of the doped Hubbard model, including the remarkable properties of the pseudogap phase. These experimental findings call for a theoretical framework and new predictions. Here we approach the doped Hubbard model in two dimensions from the perspective of quantum information theory. We study the local entropy and the total mutual information across the doping-driven Mott transition within plaquette cellular dynamical mean-field theory. We find that upon varying doping these two entanglement-related properties detect the Mott insulating phase, the strongly correlated pseudogap phase, and the metallic phase. Imprinted in the entanglement-related properties we also find the pseudogap to correlated metal first-order transition, its finite temperature critical endpoint, and its supercritical crossovers. Through this footprint we reveal an unexpected interplay of quantum and classical correlations. Our work shows that sharp variation in the entanglement-related properties and not broken symmetry phases characterizes the onset of the pseudogap phase at finite temperature.
18 pages, 16 figures; accepted version
References in corpus (81)
- Area laws for the entanglement entropy - a review
- Electronic Structure Calculations with Dynamical Mean-Field Theory: A Spectral Density Functional Approach
- Continuous-time Monte Carlo methods for quantum impurity models
- A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
- Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
- Quantum Cluster Theories
- Measuring entanglement entropy through the interference of quantum many-body twins
- Quantum thermalization through entanglement in an isolated many-body system
- A Mott insulator of fermionic atoms in an optical lattice
- The cold atom Hubbard toolbox
- Zoo of quantum-topological phases of matter
- Relation Between the Widom line and the Strong-Fragile Dynamic Crossover in Systems with a Liquid-Liquid Phase Transition
- Quantum entanglement in condensed matter systems
- Metallic and Insulating Phases of Repulsively Interacting Fermions in a 3D Optical Lattice
- Area laws in quantum systems: mutual information and correlations
- On the quantum, classical and total amount of correlations in a quantum state
- Probing entanglement entropy via randomized measurements
- Fermi-Hubbard physics with atoms in an optical lattice
- Probing entanglement in a many-body-localized system
- Quantum Entanglement in Fermionic Lattices
- Entanglement and quantum phase transition in the extended Hubbard model
- Local entanglement and quantum phase transition in the Hubbard model
- Single-atom imaging of fermions in a quantum-gas microscope
- Spin and Charge Resolved Quantum Gas Microscopy of Antiferromagnetic Order in Hubbard Chains
- A Quantum Gas Microscope for Fermionic Atoms
- Observation of Spatial Charge and Spin Correlations in the 2D Fermi-Hubbard Model
- Site-resolved Imaging of Fermionic Lithium-6 in an Optical Lattice
- Site-resolved measurement of the spin-correlation function in the Hubbard model
- Bad metallic transport in a cold atom Fermi-Hubbard system
- Pseudogap induced by short-range spin correlations in a doped Mott insulator
- Microscopic Observation of Pauli Blocking in Degenerate Fermionic Lattice Gases
- Strongly Correlated Superconductivity: a plaquette Dynamical mean field theory study
- Pseudogap and high-temperature superconductivity from weak to strong coupling. Towards quantitative theory
- Fate of the false Mott-Hubbard transition in two dimensions
- A global inversion-symmetry-broken phase inside the pseudogap region of YBaCuO
- Imaging and addressing of individual fermionic atoms in an optical lattice
- Direct probing of the Mott crossover in the SU() Fermi-Hubbard model
- Planckian dissipation, minimal viscosity and the transport in cuprate strange metals
- Spin Transport in a Mott Insulator of Ultracold Fermions
- High Temperature Macroscopic Entanglement
- Entanglement Scaling in the One-Dimensional Hubbard Model at Criticality
- Anomalies in the Entanglement Properties of the Square Lattice Heisenberg Model
- Finite doping signatures of the Mott transition in the two-dimensional Hubbard model
- Topological order in the pseudogap metal
- Pseudogap temperature as a Widom line in doped Mott insulators
- Doublon-hole correlations and fluctuation thermometry in a Fermi-Hubbard gas
- Equation of state of the two-dimensional Hubbard model
- Finite Size Scaling of Mutual Information: A Scalable Simulation
- Two-Point Versus Multipartite Entanglement in Quantum Phase Transitions
- Mott physics and first-order transition between two metals in the normal state phase diagram of the two-dimensional Hubbard model
- Universal Thermal Corrections to Single Interval Entanglement Entropy for Conformal Field Theories
- Finite-temperature mutual information in a simple phase transition
- Finite Temperature Critical Behavior of Mutual Information
- Single-Site Entanglement of Fermions at a Quantum Phase Transition
- Signatures of the Mott transition in the antiferromagnetic state of the two-dimensional Hubbard model
- Antiferromagnetic correlations in two-dimensional fermionic Mott-insulating and metallic phases
- Multipartite Entanglement at Finite Temperature
- c-axis resistivity, pseudogap, superconductivity and Widom line in doped Mott insulators
- Singularity in Entanglement Negativity Across Finite Temperature Phase Transitions
- Reconstructing the quantum critical fan of strongly correlated systems via quantum correlations
- Detecting Classical Phase Transitions with Renyi Mutual Information
- Mutual information in classical spin models
- Entanglement entropy and mutual information across the Mott transition in the two-dimensional Hubbard model
- Lazy skip lists, a new algorithm for fast hybridization-expansion quantum Monte Carlo
- Entanglement in extended Hubbard models and quantum phase transitions
- Holographic Entanglement Entropy in the QCD Phase Diagram with a Critical Point
- Thermodynamics of the Quantum Critical Point at Finite Doping in the 2D Hubbard Model: A Dynamical Cluster Approximation Study
- Entanglement crossover close to a quantum critical point
- Thermodynamic and information-theoretic description of the Mott transition in the two-dimensional Hubbard model
- Thermodynamics vs. local density fluctuations in the metal/Mott-insulator crossover
- Quantification of correlations in quantum many-particle systems
- Entanglement and classical fluctuations at finite-temperature critical points
- Critical Opalescence across the Doping Driven Mott Transition in Optical Lattices of Ultracold Atoms
- Exponential Convergence of Cellular Dynamical Mean Field Theory: Reply to the comment by K. Aryanpour, Th. Maier and M. Jarrell (cond-mat/0301460)
- Measuring entropy and mutual information in the two-dimensional Hubbard model
- Pseudogap, van Hove Singularity, Maximum in Entropy and Specific Heat for Hole-Doped Mott Insulators
- Macroscopic Entanglement and Phase Transitions
- Local Entropies across the Mott Transition in an Exactly Solvable Model
- Specific heat maximum as a signature of Mott physics in the two-dimensional Hubbard model
- Principle of Maximum Entanglement Entropy and Local Physics of Correlated many-body Electron-Systems
- Entanglement Spectrum in Cluster Dynamical Mean-Field Theory
Cited by in corpus (15)
- Local Plaquette Physics as Key Ingredient of High-Temperature Superconductivity in Cuprates
- Quantum phase transition at non-zero doping in a random - model
- Quasilocal entanglement across the Mott-Hubbard transition
- Information-theoretic measures of superconductivity in a two-dimensional doped Mott insulator
- Prediction of anomalies in the velocity of sound for the pseudogap of hole-doped cuprates
- Superconductivity in the two-dimensional Hubbard model with cellular dynamical mean-field theory: a quantum impurity model analysis
- Dynamical mean-field theory for Rényi entanglement entropy and mutual Information in Hubbard Model
- Next-generation EDIpack: A Lanczos-based package for quantum impurity models featuring general broken-symmetry phases, flexible bath topologies and multi-platform interoperability
- Holographic entanglement properties in the QCD phase diagram from EMD models
- Ambipolar doping of a charge-transfer insulator in the Emery model
- Entanglement in the pseudogap regime of cuprate superconductors
- Mean-field approximation of the Hubbard model expressed in a many-body basis
- Mott metal-insulator transition in a modified periodic Anderson model: Insights from entanglement entropy and role of short-range spatial correlations
- Formation of CuO sublattices by suppression of interlattice correlations in tetragonal CuO
- Quantitative determination of the orbital-selective Mott transition and quantum entanglement in the orbital-selective Mott phase