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TT: Fachverband Tiefe Temperaturen

TT 16: Symposium: Efficient Classical Simulation of Strongly Correlated Quantum Systems

TT 16.6: Vortrag

Dienstag, 26. Februar 2008, 17:00–17:30, H 0104

Unitary networks to describe quantum many-body systems — •Jens Eisert¹, Chris Dawson¹, Tobias Osborne², and Frank Verstraete³ — ¹Imperial College London, UK — ²Royal Holloway, University of London, UK — ³University of Vienna, Austria

To describe strongly correlated quantum many-body systems is typically hard, as the dimension of the underlying state space grows exponentially with the system size. The number of relevant parameters to simulate many-body systems, yet, is typically smaller. This talk will give an overview over variational sets of states which can faithfully grasp ground state properties of quantum lattice systems, which can be described by polynomially many parameters and for which one can efficiently compute local properties. We will introduce a flow approach to varying over such unitary networks, bringing together ideas of Wegner flow with variational methods. Applications to the simulation of two-dimensional lattice systems are outlined.