Dresden 2009 – wissenschaftliches Programm
TT 20.4: Vortrag
Dienstag, 24. März 2009, 16:15–16:30, HSZ 301
Simulating strongly correlated fermions with unitary networks — •Carlos Pineda and Jens Eisert — University of Potsdam, 14476 Potsdam, Germany
One of the central challenges in the numerical study of quantum many-body systems is to efficiently identify ground state properties of strongly correlated two- and higher-dimensional quantum systems. Recently, it has become clear that efficiently contractable tensor networks offer new perspectives for such simulations: In one dimension, the density-matrix renormalization group method and entanglement renormalization can both be grasped as such networks, with natural higher-dimensional analogues [1,2,3,4]. In this work, we introduce a framework of unitary tensor networks for fermions, which is not overburdened by encountering non-local string operators in the spin representation. In fact, there is only a constant overhead in the effort to compute local expectation values. We present a formalism of dynamical relabeling of fermions and dicuss first results on this framework.
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