Entanglement entropy dynamics of Heisenberg chains
Gabriele De ChiaraNEST-CNR-INFM and Scuola Normale Superiore, Piazza dei Cavalieri 7, I-56126 Pisa, ItalySimone MontangeroInstitut für Theoretische Festkörperphysik, Universität Karlsruhe, Wolfgang-Gaede-Straße 1, D-76128 Karlsruhe, GermanyPasquale CalabreseInstitute for Theoretical Physics, University of Amsterdam, Valckenierstraat 65, 1018 XE Amsterdam, The NetherlandsRosario FazioInternational School for Advanced Studies (SISSA), via Beirut 2-4, I-34014 Trieste, Italy
2006en
ABI
Abstract
By means of the time dependent density matrix renormalization group algorithm we study the zero-temperature dynamics of the Von Neumann entropy of a block of spins in a Heisenberg chain after a sudden quench in the anisotropy parameter. In the absence of any disorder the block entropy increases linearly with time and then saturates. We analyse the velocity of propagation of the entanglement as a function of the initial and final anisotropies and compare our results, wherever possible, with those obtained by means of conformal field theory. In the disordered case we find a slower ( logarithmic) evolution which may signal the onset of entanglement localization.
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