Entanglement entropy dynamics of disordered quantum spin chains
- 12 March 2012
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 85 (9)
- https://doi.org/10.1103/physrevb.85.094417
Abstract
By means of free fermionic techniques we study the time evolution of the entanglement entropy of a block of spins in the random transverse-field Ising chain after a sudden change of the parameters of the Hamiltonian. We consider global quenches, when the parameters are modified uniformly in space, as well as local quenches, when two disconnected blocks are suddenly joined together. For a noncritical final state, the dynamical entanglement entropy is found to approach a finite limiting value for both types of quenches. If the quench is performed to the critical state, the entropy grows for an infinite block as . This type of ultraslow increase is explained through the strong disorder renormalization group method. DOI: http://dx.doi.org/10.1103/PhysRevB.85.094417 ©2012 American Physical Society
Keywords
Other Versions
This publication has 67 references indexed in Scilit:
- Colloquium: Area laws for the entanglement entropyReviews of Modern Physics, 2010
- Entanglement entropy in extended quantum systemsJournal of Physics A: Mathematical and Theoretical, 2009
- Entanglement spectrum in one-dimensional systemsPhysical Review A, 2008
- Entanglement in many-body systemsReviews of Modern Physics, 2008
- On the entanglement entropy for an XY spin chainJournal of Statistical Mechanics: Theory and Experiment, 2004
- Quantum Spin Chain, Toeplitz Determinants and the Fisher–Hartwig ConjectureJournal of Statistical Physics, 2004
- Entanglement entropy and quantum field theoryJournal of Statistical Mechanics: Theory and Experiment, 2004
- Entanglement in Quantum Critical PhenomenaPhysical Review Letters, 2003
- Calculation of reduced density matrices from correlation functionsJournal of Physics A: General Physics, 2003
- Geometric and renormalized entropy in conformal field theoryNuclear Physics B, 1994