Particle partitioning entanglement in itinerant many-particle systems

Abstract

For itinerant fermionic and bosonic systems, we study `particle entanglement', defined as the entanglement between two subsets of particles making up the system. 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 uncovered by considering relatively simple itinerant models.

4 pages, 4 figures

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• Correlation paradox of the dissociation limit: A quantum information perspective
• A path integral Monte Carlo method for Rényi entanglement entropies
• Many-Body Quantum Dynamics in the Decay of Bent Dark Solitons of Bose-Einstein Condensates
• Entanglement between particle partitions in itinerant many-particle states
• Particle entanglement in continuum many-body systems via quantum Monte Carlo
• Evolution from few- to many-body physics in one-dimensional Fermi systems: One- and two-body density matrices, and particle-partition entanglement
• Bosonic fractional quantum Hall states in driven optical lattices
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• Particle Entanglement in Rotating Gases
• Quantum Information Approach to Rotating Bose-Einstein Condensate
• Entanglement and level crossings in frustrated ferromagnetic rings
• Particle partition entanglement of one dimensional spinless fermions
• Local density of states and particle entanglement in topological quantum fluids
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• One-particle entanglement for one dimensional spinless fermions after an interaction quantum quench
• Multipartite entanglement in fermionic systems via a geometric measure
• Novel phases in rotating Bose-condensed gas: vortices and quantum correlation
• 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
• Equivalence of Spatial and Particle Entanglement Growth After a Quantum Quench