Presented by:
Maurizio Fagotti
Date:
Monday 11th January 2016 - 14:00 to 15:00
Venue:
INI Seminar Room 1
Abstract:
Motivated by the remarkable fact that a local defect can have global effects
on the dynamics of local observables after global quenches, I revisit the
conserved quantities of the quantum XY model with open boundary conditions. I
present two approaches to determine the local conservation laws. A direct method
that relies on the diagonalization of the model and a more abstract procedure
based on a correspondence between quadratic forms of fermions and
block-Toeplitz-plus-Hankel operators. Specifically, I establish the conditions
that the symbol of a particular class of block-Toeplitz-plus-Hankel operators
must satisfy in order to commute with a given block-Toeplits. I exhibit new
families of (quasi)local conservation laws and discuss some physical
consequences of the results.
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