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Stationary states and (quasi)local charges in a semi-infinite chain

Presented by: 
Maurizio Fagotti École Normale Supérieure
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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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons