Equivalence of Spatial and Particle Entanglement Growth After a Quantum Quench

TL;DR

This paper demonstrates that in one-dimensional fermionic systems after a quantum quench, the growth of entanglement entropy is equivalent whether considering spatial modes or particles, indicating a fundamental link in entanglement dynamics.

Contribution

It shows the equivalence of spatial and particle entanglement growth after a quantum quench in both integrable and chaotic models, revealing a universal aspect of entanglement dynamics.

Findings

Excellent agreement between spatial and particle entanglement growth in integrable models.

Similar correspondence observed in chaotic models with different interaction strengths.

Highlights the universality of entanglement conversion to thermodynamic entropy during evolution.

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.