Berlin 2018 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 40: Dual-Method Approaches to Quantum Many-Body Systems II
TT 40.11: Vortrag
Dienstag, 13. März 2018, 12:45–13:00, H 3010
A time-dependent variational description latttice gauge theories. — Ignacio Cirac1, Eugene Demler2, Tao Shi1,3, and •Pablo Sala1,4 — 1Max Planck Institute for Quantum Optics, Garching, Germany — 2Harvard University, Cambridge, Massachusetts — 3Institute of Theoretical Physics, Beijing, China — 4Technical University of Munich, Germany
Fermionic Gaussian states are completely characterized by their two-point correlation functions. These are collected in the so-called covariance matrix, which then becomes the main object in their description. We derive a time-dependent variational description of (1+1)-dimensional gauge theories using the framework of lattice gauge theories as well as fermionic Gaussian states. We compare our results to previously obtained results via matrix product states for ground-state properties and real-time dynamics. Specifically, we investigate the phase transition between the string and string-breaking phases, and the dynamical properties in the massive Schwinger model and other non-Abelian generalizations.