Equivalence of Spatial and Particle Entanglement Growth After a Quantum Quench
arXiv:1912.09947 · doi:10.1103/PhysRevB.104.195101
Abstract
We analyze fermions after an interaction quantum quench in one spatial dimension and study the growth of the steady state entanglement entropy density under either a spatial mode or particle bipartition. For integrable lattice models, we find excellent agreement between the increase of spatial and particle entanglement entropy, and for chaotic models, an examination of two further neighbor interaction strengths suggests similar correspondence. This result highlights the generality of the dynamical conversion of entanglement to thermodynamic entropy under time evolution that underlies our current framework of quantum statistical mechanics.
11 pages. Now includes analysis of next-nearest-neighbor interactions. Updated code and data repository see, https://github.com/DelMaestroGroup/papers-code-EntanglementQuantumQuench
References in corpus (20)
- The density-matrix renormalization group in the age of matrix product states
- Thermalization and its mechanism for generic isolated quantum systems
- Probing entanglement in a many-body-localized system
- Entanglement and thermodynamics after a quantum quench in integrable systems
- Quantum quenches in 1+1 dimensional conformal field theories
- Spreading of correlations and entanglement after a quench in the one-dimensional Bose-Hubbard model
- Entanglement entropy in fermionic Laughlin states
- Bipartite entanglement entropy in fractional quantum Hall states
- Quasiclassical Coarse Graining and Thermodynamic Entropy
- Correlations and diagonal entropy after quantum quenches in XXZ chains
- A path integral Monte Carlo method for Rényi entanglement entropies
- Evolution from few- to many-body physics in one-dimensional Fermi systems: One- and two-body density matrices, and particle-partition entanglement
- Particle partitioning entanglement in itinerant many-particle systems
- Particle partition entanglement of bosonic Luttinger liquids
- Particle Entanglement in Rotating Gases
- Scaling properties of a spatial one-particle density-matrix entropy in many-body localized systems
- Spatial entanglement entropy in the ground state of the Lieb-Liniger model
- Momentum-space entanglement after a quench in one-dimensional disordered fermionic systems
- Particle partition entanglement of one dimensional spinless fermions
- Disentangling Sources of Quantum Entanglement in Quench Dynamics