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Wednesday, May 6th 2015

3:35 pm:

The simulation of quantum many-body systems on classical computers is notoriously difficult because of the exponential growth of the Hilbert space with the size of the system. This makes the study of some of the most fascinating problems in condensed matter physics extremely challenging. These include for example the understanding of high TC superconductors, as well as frustrated quantum magnets which might realize exotic phases of matter. In my talk, I will discuss how numerical approaches based on quantum information concepts allow for an efficient simulation of quantum many-body systems. In particular, I will introduce tensor-product state based methods that provide an optimized representation of the relevant corner of the Hilbert space. I will then demonstrate applications of matrix-product state based methods to obtain the ground state as well as the dynamics of strongly correlated quantum systems.

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