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TT: Fachverband Tiefe Temperaturen

TT 1: Correlated Electrons: Low-dimensional Systems - Models 1

TT 1.8: Talk

Monday, March 26, 2012, 11:30–11:45, H 0104

Entanglement spectrum in two dimensional systems — •Vincenzo Alba¹, Masud Haque¹, and Andreas Lauchli² — ¹Max Planck Institute for the Physics of the Complex Systems, Dresden, Germany — ²University of Innsbruck, Innsbruck, Austria

We studied the entanglement spectrum of several two dimensional systems (2D Bose-Hubbard, XXZ, tight binding systems with staggered chemical potential). We found a physical description of the low part of the entanglement spectrum in terms of effective hamiltonians (entanglement hamiltonians). For the 2D Bose Hubbard we also characterized the behavior of the entanglement spectrum in the superfluid phase where we found that the entanglement hamiltonian shows clear signatures of the condensate wavefunction.