skip to content

Thermalization and pseudolocality in extended quantum systems

Presented by: 
Benjamin Doyon
Wednesday 13th January 2016 - 11:30 to 12:30
INI Seminar Room 1
The age-old questions of when and how thermalization occurs in extended systems have received a large amount of attention recently. It has been found that many integrable models, because of the presence of infinitely many conservation laws, display generalized thermalization: generalized Gibbs ensembles (GGE) describe equilibration states after long time evolutions with short-range Hamiltonians. It was also found that extended concepts of locality, such as those of pseudolocal and quasilocal conserved charges, were sometimes involved in GGEs. In this talk I will discuss my recent results in this subject. Using precise definitions of pseudolocal charges and GGEs, I will describe simple conditions on the time-evolved state and the dynamical response functions that guarantee generalized thermalization. I will explain in which cases this implies ordinary (Gibbs) thermalization. The results are based on studying a family of states defined by paths whose tangents are pseudolocal ch arges. The framework does not involve integrability, and all results are mathematically rigorous.

Related Links
The video for this talk should appear here if JavaScript is enabled.
If it doesn't, something may have gone wrong with our embedded player.
We'll get it fixed as soon as possible.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons