Quantum Spin Chain, Toeplitz Determinants and Fisher-Hartwig Conjecture

Abstract

We consider one-dimensional quantum spin chain, which is called XX model, XX0 model or isotropic XY model in a transverse magnetic field. We study the model on the infinite lattice at zero temperature. We are interested in the entropy of a subsystem [a block of L neighboring spins]. It describes entanglement of the block with the rest of the ground state. G. Vidal, J.I. Latorre, E. Rico, and A. Kitaev showed that for large blocks the entropy scales logarithmically. We prove the logarithmic formula for the leading term and calculate the next term. We discovered that the dependence on the magnetic field interacting with spins is very simple: the magnetic field effectively reduce the size of the subsystem. We also calculate entropy of a subsystem of a small size. We also evaluated Renyi and Tsallis entropies of the subsystem. We represented the entropy in terms of a Toeplitz determinant and calculated the asymptotic analytically.

LATEX, 17 pages, 1 fig

References in corpus (2)

• Entanglement in quantum critical phenomena
• Universality of Entropy Scaling in 1D Gap-less Models

Cited by in corpus (367)

• Entanglement Entropy and Quantum Field Theory
• Area laws for the entanglement entropy - a review
• Aspects of Holographic Entanglement Entropy
• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• Entanglement entropy and conformal field theory
• Evolution of Entanglement Entropy in One-Dimensional Systems
• Entanglement renormalization
• Holographic Entanglement Entropy: An Overview
• Quantum entanglement in condensed matter systems
• Reduced density matrices and entanglement entropy in free lattice models
• Matrix product states represent ground states faithfully
• Dynamics of a Quantum Phase Transition and Relaxation to a Steady State
• Area laws in quantum systems: mutual information and correlations
• Entanglement entropy of fermions in any dimension and the Widom conjecture
• Violation of the entropic area law for Fermions
• Entanglement spectrum in one-dimensional systems
• Quantum Entanglement in Neural Network States
• Form factors of branch-point twist fields in quantum integrable models and entanglement entropy
• Entanglement Entropy dynamics in Heisenberg chains
• Reduced Density Matrix after a Quantum Quench
• Bipartite Fluctuations as a Probe of Many-Body Entanglement
• Boundary effects in the critical scaling of entanglement entropy in 1D systems
• Entanglement entropy: holography and renormalization group
• Holographic Evolution of Entanglement Entropy
• Entanglement in XY Spin Chain
• Symmetry-resolved entanglement in many-body systems
• Tensor network states and geometry
• Multipartite entanglement in spin chains
• An entanglement-area law for general bosonic harmonic lattice systems
• Operator space entanglement entropy in transverse Ising chain
• Entanglement entropy in the Lipkin-Meshkov-Glick model
• Parity effects in the scaling of block entanglement in gapless spin chains
• Mutual Information and Boson Radius in c=1 Critical Systems in One Dimension
• Entropy of entanglement and correlations induced by a quench: Dynamics of a quantum phase transition in the quantum Ising model
• Equipartition of the Entanglement Entropy
• Evolution of entanglement after a local quench
• Entanglement scaling in critical two-dimensional fermionic and bosonic systems
• Entanglement entropy of two disjoint blocks in XY chains
• Partial time-reversal transformation and entanglement negativity in fermionic systems
• Entanglement of assistance and multipartite state distillation
• Entanglement from Charge Statistics: Exact Relations for Many-Body Systems
• A short review on entanglement in quantum spin systems
• The entanglement entropy of one-dimensional gases
• Entanglement entropy in quantum impurity systems and systems with boundaries
• Spatial structures and localization of vacuum entanglement in the linear harmonic chain
• Scaling of Entanglement Entropy in the Random Singlet Phase
• Entanglement entropy of excited states
• General Relation between Entanglement and Fluctuations in One Dimension
• Entanglement scaling of operators: a conformal field theory approach, with a glimpse of simulability of long-time dynamics in 1+1d
• Symmetry resolved entanglement in free fermionic systems
• On the entanglement entropy for a XY spin chain
• Unusual Corrections to Scaling in Entanglement Entropy
• Entanglement negativity after a global quantum quench
• Entanglement in a Valence-Bond-Solid State
• Universal parity effects in the entanglement entropy of XX chains with open boundary conditions
• Random Matrix Theory and Entanglement in Quantum Spin Chains
• Entanglement in Quantum Spin Chains, Symmetry Classes of Random Matrices, and Conformal Field Theory
• Entanglement and boundary critical phenomena
• Imbalance Entanglement: Symmetry Decomposition of Negativity
• An area law for the entropy of low-energy states
• Physics at the entangling surface
• Renyi Entropy of the XY Spin Chain
• Critical and noncritical long range entanglement in the Klein-Gordon field
• Negativity as the Entanglement Measure to Probe the Kondo Regime in the Spin-Chain Kondo Model
• Exact relations between particle fluctuations and entanglement in Fermi gases
• Scaling of entanglement between separated blocks in spin chains at criticality
• Quench dynamics of a Tonks-Girardeau gas released from a harmonic trap
• Entanglement hamiltonian and entanglement contour in inhomogeneous 1D critical systems
• Universal corrections to scaling for block entanglement in spin-1/2 XX chains
• Finite-size scaling at quantum transitions
• Single-copy entanglement in critical spin chains
• On the reduced density matrix for a chain of free electrons
• Boundary Fidelity and Entanglement in the symmetry protected topological phase of the SSH model
• Universal Entanglement and Boundary Geometry in Conformal Field Theory
• Volume Law and Quantum Criticality in the Entanglement Entropy of Excited Eigenstates of the Quantum Ising Model
• Entanglement entropy with interface defects
• Coherent and dissipative dynamics at quantum phase transitions
• Density Matrix Renormalization Group in the Heisenberg Picture
• Entanglement entropy dynamics of disordered quantum spin chains
• Scaling of Rényi entanglement entropies of the free Fermi-gas ground state: a rigorous proof
• Symmetry resolved entanglement: Exact results in 1D and beyond
• Entanglement negativity bounds for fermionic Gaussian states
• Random matrices and entanglement entropy of trapped Fermi gases
• Twisted and untwisted negativity spectrum of free fermions
• Spectra and eigenstates of spin chain Hamiltonians
• Negativity spectrum of one-dimensional conformal field theories
• Exact relationship between the entanglement entropies of XY and quantum Ising chains
• Quantum quenches from excited states in the Ising chain
• Entanglement entropies in free fermion gases for arbitrary dimension
• Entanglement spectrum degeneracy and Cardy formula in 1+1 dimensional conformal field theories
• Entanglement entropy of two disjoint intervals in c=1 theories
• Symmetry resolved entanglement in two-dimensional systems via dimensional reduction
• Quantum Impurity Entanglement
• Entanglement negativity in two-dimensional free lattice models
• Entanglement Entropy of a Massive Fermion on a Torus
• Entanglement entropy of integer Quantum Hall states
• Half the entanglement in critical systems is distillable from a single specimen
• Multipartite entanglement in quantum spin chains
• Finite-size corrections in critical symmetry-resolved entanglement
• Asymptotics of Toeplitz Determinants and the Emptiness Formation Probability for the XY Spin Chain
• Entanglement spectra of critical and near-critical systems in one dimension
• Entanglement entropy of two disjoint intervals from fusion algebra of twist fields
• Valence Bond Entanglement Entropy
• Sine-square deformation of solvable spin chains and conformal field theories
• Excited state entanglement in homogeneous fermionic chains
• Bi-partite entanglement entropy in massive QFT with a boundary: the Ising model
• Average eigenstate entanglement entropy of the XY chain in a transverse field and its universality for translationally invariant quadratic fermionic models
• Entanglement, combinatorics and finite-size effects in spin-chains
• Entanglement Entropy of Fermi Liquids via Multi-dimensional Bosonization
• Ellipses of Constant Entropy in the XY Spin Chain
• Unifying variational methods for simulating quantum many-body systems
• Quantum critical behavior and trap-size scaling of trapped bosons in a one-dimensional optical lattice
• Boundary effects on symmetry resolved entanglement
• Finite-temperature entanglement negativity of free fermions
• Area law violation for the mutual information in a nonequilibrium steady state
• Stationary entanglement entropies following an interaction quench in 1D Bose gas
• Front dynamics and entanglement in the XXZ chain with a gradient
• Towards entanglement negativity of two disjoint intervals for a one dimensional free fermion
• Entanglement Entropy of Quantum Wire Junctions
• Improving entanglement and thermodynamic Rényi entropy measurements in quantum Monte Carlo
• Quantum phase transition from bounded to extensive entanglement entropy in a frustration-free spin chain
• Bi-partite entanglement entropy in massive 1+1-dimensional quantum field theories
• Entanglement in the XX spin chain with an energy current
• Spin structures and entanglement of two disjoint intervals in conformal field theories
• Exact entanglement entropy of the XYZ model and its sine-Gordon limit
• Testing the Generalized Second Law in 1+1 dimensional Conformal Vacua: An Argument for the Causal Horizon
• Critical entanglement of XXZ Heisenberg chains with defects
• Branch Point Twist Field Correlators in the Massive Free Boson Theory
• The entanglement entropy of 1D systems in continuous and homogenous space
• Entanglement entropy in the Long-Range Kitaev chain
• Entanglement entropy in quantum spin chains with finite range interaction
• Finite-size scaling of the entanglement entropy of the quantum Ising chain with homogeneous, periodically modulated and random couplings
• Area law and vacuum reordering in harmonic networks
• Entanglement and particle correlations of Fermi gases in harmonic traps
• Entanglement in fermionic chains with finite range coupling and broken symmetries
• More on the rainbow chain: entanglement, space-time geometry and thermal states
• A contour for the entanglement entropies in harmonic lattices
• Higher spin entanglement entropy from CFT
• A Special Case Of A Conjecture By Widom With Implications To Fermionic Entanglement Entropy
• Symmetry-resolved entanglement in a long-range free-fermion chain
• Entanglement in an SU(n) Valence-Bond-Solid State
• Essential singularity in the Renyi entanglement entropy of the one-dimensional XYZ spin-1/2 chain
• Emptiness formation probability, Toeplitz determinants, and conformal field theory
• Entanglement Spectrum for the XY Model in One Dimension
• Exact ground state of the sine-square deformed XY spin chain
• Free-fermion entanglement and spheroidal functions
• Partial transpose of two disjoint blocks in XY spin chains
• Entanglement Entropy of Non-Unitary Integrable Quantum Field Theory
• Entanglement of two blocks of spins in the critical Ising model
• Dynamic finite-size scaling after a quench at quantum transitions
• Spatiotemporal buildup of the Kondo screening cloud
• Bipartite entanglement entropy of the excited states of the free fermions and the harmonic oscillators
• Permutation operators, entanglement entropy, and the XXZ spin chain in the limit Δ-> -1
• Quantum dynamics and entanglement of a 1D Fermi gas released from a trap
• Bi-partite entanglement entropy in integrable models with backscattering
• Relative Entanglement Entropies in 1+1-dimensional conformal field theories
• Symmetry Resolved Entanglement of Excited States in Quantum Field Theory I: Free Theories, Twist Fields and Qubits
• Entanglement Content of Quantum Particle Excitations II. Disconnected Regions and Logarithmic Negativity
• Entanglement Content of Quantum Particle Excitations I. Free Field Theory
• Entanglement, Haag-duality and type properties of infinite quantum spin chains
• Equipartition of Entanglement in Quantum Hall States
• Counting statistics for non-interacting fermions in a $d$-dimensional potential
• Entanglement Entropy of Non-Hermitian Free Fermions
• Computational Difficulty of Global Variations in the Density Matrix Renormalization Group
• Entanglement entropies of inhomogeneous Luttinger liquids
• Free fermions on a line: asymptotics of the entanglement entropy and entanglement spectrum from full counting statistics
• Eigenstate entanglement: Crossover from the ground state to volume laws
• Temperature driven quenches in the Ising model: appearance of negative Rényi mutual information
• Exact entanglement growth of a one-dimensional hard-core quantum gas during a free expansion
• Entanglement entropy production in deep inelastic scattering
• New insights into the entanglement of disjoint blocks
• The von Neumann entropy asymptotics in multidimensional fermionic systems
• Exact hydrodynamic solution of a double domain wall melting in the spin-1/2 XXZ model
• Surface and bulk entanglement in free-fermion chains
• Multi-charged moments of two intervals in conformal field theory
• Entanglement entropy of integer Quantum Hall states in polygonal domains
• Quantum time dynamics of 1D-Heisenberg models employing the Yang-Baxter equation for circuit compression
• Fano resonances and entanglement entropy
• Entanglement entropy in quantum spin chains with broken reflection symmetry
• Bound entanglement in the XY model
• Entanglement and Density Matrix of a Block of Spins in AKLT Model
• Solving frustration-free spin systems
• Symmetry-resolved entanglement entropy in critical free-fermion chains
• Entanglement entropy in a periodically driven Ising chain
• Superballistic Diffusion of Entanglement in Disordered Spin Chains
• Scaling of bipartite entanglement in one-dimensional lattice systems with a trapping potential
• Scaling of entanglement entropy across Lifshitz transitions
• Ground states of unfrustrated spin Hamiltonians satisfy an area law
• Domain wall melting across a defect
• Exact hydrodynamic description of symmetry-resolved Rényi entropies after a quantum quench
• Mutual information area laws for thermal free fermions
• Generalized isotropic Lipkin-Meshkov-Glick models: ground state entanglement and quantum entropies
• Entanglement entropy in aperiodic singlet phases
• Density matrix elements and entanglement entropy for the spin-1/2 XXZ chain at $\Delta$=1/2
• Zero Modes and Entanglement Entropy
• Entanglement entropy and the complex plane of replicas
• Entanglement dynamics in the many-body Hatano-Nelson model
• Entropy, gap and a multi-parameter deformation of the Fredkin spin chain
• A variational method based on weighted graph states
• Fluctuations in subsystems of the zero temperature XX chain: Emergence of an effective temperature
• Comb entanglement in quantum spin chains
• Entanglement Content of Quantum Particle Excitations III. Graph Partition Functions
• Entanglement in Valence-Bond-Solid States
• Entanglement of several blocks in fermionic chains
• A uniform area law for the entanglement of eigenstates in the disordered XY chain
• Variance squeezing and entanglement of the XX central spin model
• Corrections to universal Rényi entropy in quasiparticle excited states of quantum chains
• Entanglement of magnon excitations in spin chains
• How much delocalisation is needed for an enhanced area law of the entanglement entropy?
• Extensive Long-Range Entanglement in a Nonequilibrium Steady State
• Correlation Functions of XX0 Heisenberg Chain, q-Binomial Determinants, and Random Walks
• Universal signatures of Dirac fermions in entanglement and charge fluctuations
• Counting statistics for non-interacting fermions in a rotating trap
• Chiral entanglement in massive quantum field theories in 1+1 dimensions
• Eigenstate entanglement scaling for critical interacting spin chains
• Entanglement in valence-bond-solid states on symmetric graphs
• Time evolution of Renyi entropy under the Lindblad equation
• Entanglement estimation in tensor network states via sampling
• Entanglement of inhomogeneous free fermions on hyperplane lattices
• Renyi entropy of highly entangled spin chains
• Conditions for monogamy of quantum correlations in multipartite systems
• Casimir forces on deformed fermionic chains
• Boundary effects to the entanglement entropy and two-site entanglement of the spin-1 valence-bond solid
• Symmetry Resolved Measures in Quantum Field Theory: a Short Review
• Excited state Rényi entropy and subsystem distance in two-dimensional non-compact bosonic theory -- I. Single-particle states
• Higher particle form factors of branch point twist fields in integrable quantum field theories
• Expectation values of twist fields and universal entanglement saturation of the free massive boson
• Massive Corrections to Entanglement in Minimal E8 Toda Field Theory
• Quantum dimensions from local operator excitations in the Ising model
• Adiabatic Tracking of a State: a New Route to Nonequilibrium Physics
• On the sharpness of the zero-entropy-density conjecture
• A duality principle for the multi-block entanglement entropy of free fermion systems
• How General Is Holography?
• Excited state Rényi entropy and subsystem distance in two-dimensional non-compact bosonic theory. Part II. Multi-particle states
• Magnetic field dependence of the entanglement entropy of one dimensional spin systems in quantum phase transition induced by a quench
• Toeplitz matrices and Toeplitz determinants under the impetus of the Ising model. Some history and some recent results
• Scaling of fronts and entanglement spreading during a domain wall melting
• Entanglement negativity in a nonequilibrium steady state
• n-cluster models in a transverse magnetic field
• Universal corrections to the entanglement entropy in gapped quantum spin chains: a numerical study
• Inhomogeneous XX spin chains and quasi-exactly solvable models
• Probing RG flows, symmetry resolution and quench dynamics through the capacity of entanglement
• String correlation functions of the spin-1/2 Heisenberg XXZ chain
• Fidelity spectrum and phase transitions of quantum systems
• Entanglement entropy in Fermi gases and Anderson's orthogonality catastrophe
• Piercing the rainbow: entanglement on an inhomogeneous spin chain with a defect
• Non-Unitary Quantum Many-Body Dynamics using the Faber Polynomial Method
• Entanglement and criticality in translational invariant harmonic lattice systems with finite-range interactions
• Quantum entanglement and non-Hermiticity in free-fermion systems
• Many body physics from a quantum information perspective
• Logarithmic, Fractal and Volume-Law Entanglement in a Kitaev chain with long-range hopping and pairing
• Entanglement spectrum and entropy in Floquet topological matter
• Quantum phases of dimerized and frustrated Heisenberg spin chains with s = 1/2, 1 and 3/2: an entanglement entropy and fidelity study
• Entanglement in bosonic systems
• Non-zero entropy density in the XY chain out of equilibrium
• Frustration, Area Law, and Interference in Quantum Spin Models
• Entanglement-Entropy for Groundstates, Low-lying and Highly Excited Eigenstates of General (Lattice) Hamiltonians
• The $\hslash \to 0$ Limit of the Entanglement Entropy
• Universality in the tripartite information after global quenches
• Dark energy from entanglement entropy
• Symmetry Resolution in non-Lorentzian Field Theories
• Entanglement entropies of an interval for the massless scalar field in the presence of a boundary
• The fate of current, residual energy and entanglement entropy in aperiodic driving of one dimensional Jordan Wigner integrable models
• Target space entanglement in quantum mechanics of fermions and matrices
• Entanglement entropy in scalar field theory and ${\mathbb{Z}}_M$ gauge theory on Feynman diagrams
• Subsystem distances between quasiparticle excited states
• Study of the long-range transverse field Ising model with fermionic Gaussian states
• Entanglement entropy of inhomogeneous XX spin chains with algebraic interactions
• Symmetry Resolved Entanglement of Excited States in Quantum Field Theory III: Bosonic and Fermionic Negativity
• Non-Gaussianity of Entanglement Entropy and Correlations of Composite Operators
• Density of defects and the scaling law of the entanglement entropy in quantum phase transition of one dimensional spin systems induced by a quench
• Nonequilibrium symmetry-protected topological order: emergence of semilocal Gibbs ensembles
• Logarithmic entanglement scaling in dissipative free-fermion systems
• Fisher-Hartwig expansion for Toeplitz determinants and the spectrum of a single-particle reduced density matrix for one-dimensional free fermions
• More on symmetry resolved operator entanglement
• Entanglement and boundary entropy in quantum spin chains with arbitrary direction of the boundary magnetic fields
• Area Law Violations and Quantum Phase Transitions in Modified Motzkin Walk Spin Chains
• Universality in the tripartite information after global quenches: (generalised) quantum XY models
• Single-copy entanglement in a gapped quantum spin chain
• Entanglement in composite free-fermion systems
• Entanglement Signature of Hinge Arcs, Fermi Arcs, and Crystalline Symmetry Protection in Higher-Order Weyl Semimetals
• Critical behavior of su(1|1) supersymmetric spin chains with long-range interactions
• Rényi entropy and subsystem distances in finite size and thermal states in critical XY chains
• Area-law entanglement from quantum geometry
• Entanglement entropy of two disjoint intervals separated by one spin in a chain of free fermion
• Symmetry resolution of the computable cross-norm negativity of two disjoint intervals in the massless Dirac field theory
• Absence of barren plateaus and scaling of gradients in the energy optimization of isometric tensor network states
• Entanglement of disjoint blocks in the one dimensional Spin 1 VBS
• Entanglement entropy in quantum spin chains with broken parity number symmetry
• Fermionic criticality is shaped by Fermi surface topology: a case study of the Tomonaga-Luttinger liquid
• Generation of long-living entanglement using cold trapped ions with pair cat states
• Random matrix theory and critical phenomena in quantum spin chains
• Entanglement bounds in the XXZ quantum spin chain
• Entanglement in non-critical inhomogeneous quantum chains
• Entanglement Hamiltonian of a nonrelativistic Fermi gas
• The dynamical $\alpha$-Rényi entropies of local Hamiltonians grow at most linearly in time
• Zero-mode entanglement across a conformal defect
• Thermally stable multipartite entanglements in the frustrated Heisenberg hexagon
• Supersymmetric spin chains with non-monotonic dispersion relation: criticality and entanglement entropy
• Entanglement of Collectively Interacting Harmonic Chains
• Mesoscopic fluctuations in entanglement dynamics
• On the Bisognano-Wichmann entanglement Hamiltonian of nonrelativistic fermions
• Entanglement Measures in a Nonequilibrium Steady State: Exact Results in One Dimension
• Infinite qubit rings with maximal nearest neighbor entanglement: the Bethe ansatz solution
• Entanglement entropy of the $Q\ge 4$ quantum Potts chain
• Szego limit theorem for operators with discontinuous symbols and applications to entanglement entropy
• Configuration-Space Location of the Entanglement between Two Subsystems
• Inference from Matrix Products: A Heuristic Spin Glass Algorithm
• Entanglement entropy of random partitioning
• Entanglement between random and clean quantum spin chains
• Symmetries, Conservation Laws and Entanglement in Non-Hermitian Fermionic Lattices
• Exact correlations in topological quantum chains
• Eigenpairs of Toeplitz and disordered Toeplitz matrices with a Fisher-Hartwig symbol
• Entanglement of Free Fermions and Bosons at Finite Temperature
• Entanglement of Valence-Bond-Solid on an Arbitrary Graph
• Exact asymptotics of long-range quantum correlations in a nonequilibrium steady state
• Quantum spin chains and random matrix theory
• Block Spin Density Matrix of the Inhomogeneous AKLT Model
• A new correlator in quantum spin chains
• Asymptotics of block Toeplitz determinants with piecewise continuous symbols
• Breakdown of quantum-classical correspondence and dynamical generation of entanglement
• Quantum Generalized Hydrodynamics of the Tonks-Girardeau gas: density fluctuations and entanglement entropy
• Computation of entanglement entropy in inhomogeneous free fermions chains by algebraic Bethe ansatz
• Quantum geometry and geometric entanglement entropy of one-dimensional Floquet topological matter
• Orbital antiferroelectricity and higher dimensional magnetoelectric order in the spin-$1/2$ XX chain extended with three-spin interactions
• The Fisher-Hartwig Formula and Generalized Entropies in XY Spin Chain
• Entanglement across extended random defects in the XX spin chain
• Entanglement-fluctuation relation for bipartite pure states
• Entanglement Spectrum in General Free Fermionic Systems
• Entanglement and area laws in weakly correlated gaussian states
• Quantum Correlations in Field Theory and Integrable Systems
• On the stability of the area law for the entanglement entropy of the Landau Hamiltonian
• Correlation Functions as Nests of Self-Avoiding Paths
• Quantum simulation of long range $XY$ quantum spin glass with strong area-law violation using trapped ions
• Quantum Joule Expansion of One-Dimensional Systems
• On the complex behaviour of the density in composite quantum systems
• Scaling of finite size effect of $\alpha$-Rényi entropy in disjointed intervals under dilation
• Fisher Hartwig determinants, conformal field theory and universality in generalised XX models
• Bounded light cone and robust topological order out of equilibrium
• A hydrodynamic approach to Stark localization
• Topological Degeneracy Induced Flat Bands in two-Dimensional Holed Systems
• Asymptotic behaviour of determinants through the expansion of the Moyal star product
• Entanglement entropy of two disjoint intervals and spin structures in interacting chains in and out of equilibrium
• Analytical solution of a free-fermion chain with time-dependent ramps
• Gaussian matrix product states cannot efficiently describe critical systems
• Inspecting non-perturbative contributions to the Entanglement Entropy via wavefunctions
• Domain-wall melting and entanglement in free-fermion chains with a band structure
• Entanglement of quantum spin systems: a valence-bond approach
• Fermionic Partial Transpose in the Overlap Matrix Framework for Entanglement Negativity
• Critical exponents of block-block mutual information in one-dimensional infinite lattice systems
• Entanglement entropies of an interval in the free Schrödinger field theory on the half line
• Observable-enriched entanglement
• Exact diagonalization for spin-1/2 chains and the first order quantum phase transitions of the XXX chain in a uniform transverse field
• Entanglement distribution in fermion model with long-range interaction
• Entanglement entropies of an interval in the free Schrödinger field theory at finite density
• Critical Fermions are Universal Embezzlers
• The behavior of the entanglement entropy in interacting quasi-1D systems and its consequences for their efficient numerical study
• On the asymptotic scaling of the von Neumann entropy in quasifree fermionic right mover/left mover systems
• Fermi surface as a quantum critical manifold: gaplessness, order parameter, and scaling in $d$-dimensions
• Entanglement dynamics of a hard-core quantum gas during a Joule expansion
• Entanglement Hamiltonian during a domain wall melting in the free Fermi chain
• Time Evolution of the Symmetry Resolved Entanglement Entropy after a Mass Quench
• Entanglement Entropy in Many-Fermion System
• Birman-Schwinger and the number of Andreev states in BCS superconductors
• Inhomogeneous quenches and GHD in the $\nu =1$ QSSEP model
• Equivalence of Spatial and Particle Entanglement Growth After a Quantum Quench
• Equivalence of Stabilizer and Shannon Rényi Entropies: Exact Results for Quantum Critical Chains