Dynamical localization in the disordered xy-spin chain

Math Physics Seminar
Wednesday, April 27, 2011 - 16:30
1 hour (actually 50 minutes)
Skiles 006
Dept. of Math. University of Alabama at Birmingham
We will show that a quantum xy-spin chain which is exposed to a randomexterior magnetic field satisfies a zero-velocity Lieb-Robinson bound. Thiscan be interpreted as dynamical localization for the spin chain or asabsence of information transport. We will also discuss a general result,which says that zero velocity LR-bounds in a quantum spin system implyexponential decay of ground state correlations. This is joint work withRobert Sims and Eman Hamza and motivated by recent works of Burrell-Osborneas well as Hastings.