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Conference on "Variational and spectral methods in Quantum Field Theory"
Organizers: Volker Bach (Braunschweig), Maria J. Esteban (CNRS), Mathieu Lewin (CNRS), Eric Séré (Paris-Dauphine)


Thomas Barthel (Munich, Germany): "Tensor network state techniques and entanglement in condensed matter systems"
Wednesday 24 April 2013, 10:50 - 11:35
Amphi Hermite


Abstract: For ground states of many-body systems, I will discuss how the entanglement entropy scales with the subsystem size, and how it behaves under time-evolution after a sudden quench of system parameters. The behavior of the entanglement indicates that ground states do not exhaust the available number of degrees of freedom that grows exponentially with the system size. This is exploited in simulation techniques employing certain ansatz wavefunctions, like MPS, PEPS, or MERA. I will describe the ideas behind these approaches, show how they can also be applied to simulate fermions in D>1 dimensions, and highlight some applications. The computation costs are determined by the entanglement properties of the simulated systems.