Efficient Parametrization and Simulation of Condensed Matter Systems Using Tensor Network States

Duke Physics Colloquium
Thomas Barthel (Univ of Paris-Sud and CNRS)

** Please note this event is on MONDAY not Wednesday. ** The non-locality of quantum many-body systems, and hence their information content, can be quantified by entanglement measures. For ground states of condensed matter systems, I will discuss how the entanglement scales with the subsystem size, and how it behaves under time-evolution after a sudden change of system parameters (quench). The available number of degrees of freedom in a quantum many-body system grows exponentially with the system size. However, the scaling behavior of the entanglement indicates that the quantum states of interest exhaust only a much smaller number of effective degrees of freedom. This is exploited in non-perturbative simulation techniques based on so-called tensor network states, which are a way to parametrize relevant effective degrees of freedom and are particularly valuable for strongly-correlated regimes. I will describe how this approach can be employed to simulate systems of all particle statistics in order to study ground states, thermal states, and non-equilibrium phenomena. Besides explaining the main ideas, I will highlight applications of the techniques to quantum magnets and ultra-cold atomic gases in some of my projects and outline further plans and ideas. Faculty Host: Harold Baranger. Refreshments will be served after the event in room 128.

Monday, April 21, 2014 - 3:00pm
location: 
Physics 128
contact: 
Paul, Cristin
660-2491