Abstract
We extend the semiclassical picture for the spreading of entanglement and correlations to quantum quenches with several species of quasiparticles that have non-trivial pair correlations in momentum space. These pair correlations are, for example, relevant in inhomogeneous lattice models with a periodically-modulated Hamiltonian parameter. We provide explicit predictions for the spreading of the entanglement entropy in the space-time scaling limit. We also predict the time evolution of one- and two-point functions of the order parameter for quenches within the ordered phase. We test all our predictions against exact numerical results for quenches in the Ising chain with a modulated transverse field and we find perfect agreement.
Highlights
During the last decade, the study of the non-equilibrium dynamics after a quantum quench has been the subject of intense theoretical and experimental investigations, see e.g. Refs. [1,2,3,4] as reviews on the subject
In the field theoretical context, it has been shown that the quasiparticle picture can be used to understand the time evolution of the one- and two-point functions of the order parameter [63, 64]
The main new physical result is that the information encoded in the mode populations ni(k) of the single species and their velocities vi(k) are not enough to determine the time evolution of the entanglement entropy and correlations
Summary
The study of the non-equilibrium dynamics after a quantum quench (i.e. after an abrupt change of a parameter in a quantum Hamiltonian) has been the subject of intense theoretical and experimental investigations, see e.g. Refs. [1,2,3,4] as reviews on the subject. It has been introduced to explain the entanglement evolution in the scaling limit after a quantum quench [38] and originally tested against the exact results in conformal field theories [38,39,40,41], in free models [29,38,39,42,43,44,45,46,47,48,49,50,51], and against many numerical simulations [52,53,54,55,56,57,58,59] Very recently these concepts have been used to quantitatively predict the time evolution of the entanglement entropy in generic interacting integrable systems [60,61,62]. Two appendices support the main text with some technical details
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