Equivalence of spatial and particle entanglement growth after a quantum quench

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 applicability of a statistical ensemble to compute expectation values of local observables after a quantum quench

Automated summary

The study reveals that in one spatial dimension, fermions exhibit excellent correspondence between the growth of steady state entanglement entropy density under spatial mode or particle bipartition after an interaction quantum quench. This result highlights the applicability of a statistical ensemble in computing expectation values of local observables post quantum quench.