Particle entanglement in continuum many-body systems via quantum Monte Carlo
arXiv:1310.8332 · doi:10.1103/PhysRevB.89.140501
Abstract
Entanglement of spatial bipartitions, used to explore lattice models in condensed matter physics, may be insufficient to fully describe itinerant quantum many-body systems in the continuum. We introduce a procedure to measure the Rényi entanglement entropies on a particle bipartition, with general applicability to continuum Hamiltonians via path integral Monte Carlo methods. Via direct simulations of interacting bosons in one spatial dimension, we confirm a logarithmic scaling of the single-particle entanglement entropy with the number of particles in the system. The coefficient of this logarithmic scaling increases with interaction strength, saturating to unity in the strongly interacting limit. Additionally, we show that the single-particle entanglement entropy is bounded by the condensate fraction, suggesting a practical route towards its measurement in future experiments.
6 pages, 4 figures
References in corpus (19)
- Non-Abelian Anyons and Topological Quantum Computation
- Entropy scaling and simulability by Matrix Product States
- Continuous Matrix Product States for Quantum Fields
- Entanglement entropy in fermionic Laughlin states
- The entanglement entropy of one-dimensional gases
- Bipartite entanglement entropy in fractional quantum Hall states
- Entanglement, Particle Identity and the GNS Construction: A Unifying Approach
- Entanglement and Particle Identity: A Unifying Approach
- Measuring entanglement using quantum quenches
- Finite Size Scaling of Mutual Information: A Scalable Simulation
- A molecular superfluid: non-classical rotations in doped para-hydrogen clusters
- Finite Temperature Critical Behavior of Mutual Information
- Renyi Entropy of the Interacting Fermi Liquid
- Population size bias in Diffusion Monte Carlo
- Entanglement robustness and geometry in systems of identical particles
- Particle partitioning entanglement in itinerant many-particle systems
- Spatial Entanglement From Off-Diagonal Long Range Order in a BEC
- Entanglement Entropy and Mutual Information in Bose-Einstein Condensates
- Entanglement entropy and the simulation of Quantum Mechanics
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- A path integral Monte Carlo method for Rényi entanglement entropies
- Entanglement area law in superfluid He
- Entanglement structures in qubit systems
- Direct calculation of the Entanglement Spectrum in Quantum Monte Carlo with application to \textit{ab initio} Hamiltonians
- Particle partition entanglement of bosonic Luttinger liquids
- Disentangling quantum matter with measurements
- Spatial entanglement entropy in the ground state of the Lieb-Liniger model
- Particle partition entanglement of one dimensional spinless fermions
- Balls and Walls: A Compact Unary Coding for Bosonic States
- 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
- Quantum Rényi entropy by optimal thermodynamic integration paths
- Coherent electron splitting in interacting chiral edge channels
- Rényi entropy of quantum anharmonic chain at non-zero temperature
- Effect of neighbouring molecules on ground-state properties of many-body polar linear rotor systems
- A Scaling Function for the Particle Entanglement Entropy of Fermions
- Equivalence of Spatial and Particle Entanglement Growth After a Quantum Quench