Entanglement between particle partitions in itinerant many-particle states

Abstract

We review `particle partitioning entanglement' for itinerant many-particle systems. This is defined as the entanglement between two subsets of particles making up the system. We identify generic features and mechanisms of particle entanglement that are valid over whole classes of itinerant quantum systems. We formulate the general structure of particle entanglement in many-fermion ground states, analogous to the `area law' for the more usually studied entanglement between spatial regions. Basic properties of particle entanglement are first elucidated by considering relatively simple itinerant models. We then review particle-partitioning entanglement in quantum states with more intricate physics, such as anyonic models and quantum Hall states.

review, about 20 pages. Version 2 has minor revisions.

References in corpus (13)

• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• Entanglement spectrum in one-dimensional systems
• Fragmentation of Bose-Einstein Condensates
• Entanglement entropy in fermionic Laughlin states
• The 1D interacting anyon gas: low-energy properties and Haldane exclusion statistics
• Bipartite entanglement entropy in fractional quantum Hall states
• Fractionalization, topological order, and quasiparticle statistics
• Correlation Functions of One-Dimensional Lieb-Liniger Anyons
• Generalized exclusion statistics and degenerate signature of strongly interacting anyons
• Entanglement signatures of quantum Hall phase transitions
• Bethe Ansatz for 1D interacting anyons
• Entropy and Exact Matrix Product Representation of the Laughlin Wave Function
• Particle partitioning entanglement in itinerant many-particle systems

Cited by in corpus (36)

• Zoology of Fractional Chern Insulators
• The entanglement entropy of one-dimensional gases
• Edge state inner products and real-space entanglement spectrum of trial quantum Hall states
• Entanglement in indistinguishable particle systems
• The entanglement entropy of 1D systems in continuous and homogenous space
• A path integral Monte Carlo method for Rényi entanglement entropies
• Measures of complexity and entanglement in fermionic many-body systems
• Entanglement entropy, single-particle occupation probabilities, and short-range correlations
• Quantum correlations, entanglement spectrum and coherence of two-particle reduced density matrix in the Extended Hubbard Model
• Evolution from few- to many-body physics in one-dimensional Fermi systems: One- and two-body density matrices, and particle-partition entanglement
• Particle entanglement in continuum many-body systems via quantum Monte Carlo
• Bosonic fractional quantum Hall states in driven optical lattices
• Entanglement in a spin system with inverse square statistical interaction
• Particle partition entanglement of bosonic Luttinger liquids
• On the Entanglement Between Interacting Scalar Field Theories
• Analytical approach to the two-site Bose-Hubbard model: from Fock states to Schrödinger cat states and entanglement entropy
• An algorithm to explore entanglement in small systems
• Local density of states and particle entanglement in topological quantum fluids
• How localized bosons manage to become superfluid
• Quench dynamics in lattices above one dimension: the free fermionic case
• Identifying topological order in the Shastry-Sutherland model via entanglement entropy
• Balls and Walls: A Compact Unary Coding for Bosonic States
• New developments in fission studies within the time-dependent density functional theory framework
• A Path Integral Ground State Monte Carlo Algorithm for Entanglement of Lattice Bosons
• One-particle entanglement for one dimensional spinless fermions after an interaction quantum quench
• Entanglement entropy of a quantum unbinding transition and entropy of DNA
• Non-Markovian character and irreversibility of real-time quantum many-body dynamics
• Fractional Chern insulator candidate in twisted bilayer checkboard lattice
• Lower bound on entanglement in subspaces defined by Young diagrams
• Entanglement in bipartite pure states of an interacting boson gas obtained by local projective measurements
• Characterizing maximally many-body entangled fermionic states by using $M$-body density matrix
• A Scaling Function for the Particle Entanglement Entropy of Fermions
• Matrix product states and first quantization
• A critical assessment of the current implementations of the Generator Coordinate Method
• Equivalence of Spatial and Particle Entanglement Growth After a Quantum Quench
• Localization and "classical entanglement'' in the Discrete Non-Linear Schrödinger Equation