Analytical results for the entanglement dynamics of disjoint blocks in the XY spin chain

Parez, Gilles; Bonsignori, Riccarda (2022) Analytical results for the entanglement dynamics of disjoint blocks in the XY spin chain. Journal of Physics A: Mathematical and Theoretical, 55 (50). ISSN 1751-8113

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Abstract

The study of the dynamics of entanglement measures after a quench has become a very active area of research in the last two decades, motivated by the development of experimental techniques. However, exact results in this context are available in only very few cases. In this work, we present the proof of the quasiparticle picture for the dynamics of entanglement entropies for two disjoint blocks in the XY chain after a quantum quench. As a byproduct, we also prove the quasiparticle conjecture for the mutual information in that model. Our calculations generalize those presented in Fagotti and Calabrese (2008 Phys. Rev. A 78 010306) to the case where the correlation matrix is a block-Toeplitz matrix, and rely on the multidimensional stationary phase approximation in the scaling limit. We also test the quasiparticle predictions against exact numerical calculations, and find excellent agreement. In the case of three blocks, we show that the tripartite information vanishes when at least two blocks are adjacent.

Item Type:	Article
Uncontrolled Keywords:	entanglement dynamics; XY spin chain
Subjects:	NATURAL SCIENCES > Physics
Divisions:	Theoretical Physics Division
Depositing User:	Lorena Palameta
Date Deposited:	14 Jul 2026 07:54
URI:	https://fulir.irb.hr:/id/eprint/12049
DOI:	10.1088/1751-8121/acb097

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