On Density-Matrix Spectra for Two-Dimensional Quantum Systems

Abstract

For a two-dimensional system of coupled oscillators, the spectra of reduced density matrices can be obtained analytically. This provides an example where the features of these quantities, which are of central importance in numerical studies using the DMRG method, can be seen.

4 pages, 4 figures

References in corpus (2)

• Phase separation and stripe formation in the 2D t-J model: a comparison of numerical results
• Density Matrices for a Chain of Oscillators

Cited by in corpus (73)

• The density-matrix renormalization group in the age of matrix product states
• The density-matrix renormalization group
• Area laws for the entanglement entropy - a review
• Calculation of reduced density matrices from correlation functions
• Quantum entanglement in condensed matter systems
• Reduced density matrices and entanglement entropy in free lattice models
• Entanglement entropy in free quantum field theory
• Form factors of branch-point twist fields in quantum integrable models and entanglement entropy
• New Trends in Density Matrix Renormalization
• Entanglement and alpha entropies for a massive Dirac field in two dimensions
• Entanglement entropy: holography and renormalization group
• Density-Matrix Spectra of Solvable Fermionic Systems
• Universal terms for the entanglement entropy in 2+1 dimensions
• Entanglement in solvable many-particle models
• Spatial structures and localization of vacuum entanglement in the linear harmonic chain
• Efficient description of strongly correlated electrons with mean-field cost
• Entanglement and alpha entropies for a massive scalar field in two dimensions
• Entanglement Entropy and Twist Fields
• Multi-scale Entanglement Renormalization Ansatz in Two Dimensions: Quantum Ising Model
• Entanglement hamiltonian and entanglement contour in inhomogeneous 1D critical systems
• On the reduced density matrix for a chain of free electrons
• Entanglement contour
• Statistics dependence of the entanglement entropy
• Symmetry resolved entanglement in two-dimensional systems via dimensional reduction
• Entanglement asymmetry and quantum Mpemba effect in two-dimensional free-fermion systems
• Entanglement entropy of two disjoint intervals from fusion algebra of twist fields
• Volume Law for the Entanglement Entropy in Non-local QFTs
• Entanglement topological invariants for one-dimensional topological superconductors
• Entanglement hamiltonians in 1D free lattice models after a global quantum quench
• On entanglement hamiltonians of an interval in massless harmonic chains
• A contour for the entanglement entropies in harmonic lattices
• Reflected entropy, symmetries and free fermions
• Reconstructing Entanglement Hamiltonian via Entanglement Eigenstates
• Application of the density matrix renormalization group method to finite temperatures and two-dimensional systems
• Null Geodesics in Brane World Universe
• Post measurement bipartite entanglement entropy in conformal field theories
• Entanglement between particle partitions in itinerant many-particle states
• Reflected entropy for free scalars
• Complexity of mixed Gaussian states from Fisher information geometry
• Solution of large scale nuclear structure problems by wave function factorization
• Structure of Quantum Entanglement at a Finite Temperature Critical Point
• Quenching from superfluid to free bosons in two dimensions: entanglement, symmetries, and quantum Mpemba effect
• Mutual information area laws for thermal free fermions
• Analytic results on the geometric entropy for free fields
• Formation probabilities and Shannon information and their time evolution after quantum quench in transverse-field XY-chain
• Fluctuations in subsystems of the zero temperature XX chain: Emergence of an effective temperature
• Tracing Through Scalar Entanglement
• Entanglement dynamics following a sudden quench: an exact solution
• Corrections to universal Rényi entropy in quasiparticle excited states of quantum chains
• Entanglement of magnon excitations in spin chains
• Universal signatures of Dirac fermions in entanglement and charge fluctuations
• Entanglement of inhomogeneous free fermions on hyperplane lattices
• Excited state Rényi entropy and subsystem distance in two-dimensional non-compact bosonic theory -- I. Single-particle states
• Excited state Rényi entropy and subsystem distance in two-dimensional non-compact bosonic theory. Part II. Multi-particle states
• Entanglement entropy after selective measurements in quantum chains
• The Interface of Cosmology with String and M(ILLENNIUM) Theory
• Exact relaxation dynamics and quantum information scrambling in multiply quenched harmonic chains
• Doping on the kagome lattice: A variational Monte-Carlo study of the $t-J$ model
• Quantum entanglement and non-Hermiticity in free-fermion systems
• Entanglement Hamiltonians and the quasiparticle picture
• Ergotropy and entanglement in critical spin chains
• A Varying-e Brane World Cosmology
• Subsystem distances between quasiparticle excited states
• Quench dynamics in lattices above one dimension: the free fermionic case
• Quantum hypothesis testing in many-body systems
• Quasiparticle Picture for Entanglement Hamiltonians in Higher Dimensions
• Closure of the entanglement gap at quantum criticality: The case of the Quantum Spherical Model
• Entanglement gap, corners, and symmetry breaking
• Aspects of Entanglement Entropy in Algebraic Quantum Field Theory
• Entanglement gap in 1D long-range quantum spherical models
• Holographic entanglement renormalisation for fermionic quantum matter
• Dynamics of entanglement asymmetry for space-inversion symmetry of free fermions on honeycomb lattices
• Topological squashed entanglement: nonlocal order parameter for one-dimensional topological superconductors