Entanglement entropy dynamics of Heisenberg chains

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Published 1 March 2006 IOP Publishing Ltd
, , Citation Gabriele De Chiara et al J. Stat. Mech. (2006) P03001 DOI 10.1088/1742-5468/2006/03/P03001

1742-5468/2006/03/P03001

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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10.1088/1742-5468/2006/03/P03001