Regensburg 2016 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 63: Low-Dimensional Systems: 2D - Theory

TT 63.13: Vortrag

Donnerstag, 10. März 2016, 12:45–13:00, H21

Finite-Temperature Sensitivity of Entanglement Spectra and Their Numerical Reconstruction from Rényi Entropies — •Wilfried Michel, Peter Broecker, and Simon Trebst — University of Cologne, Germany

Entanglement spectra provide deep insight into the entanglement structure of quantum many-body systems, in particular in the presence of (chiral) topological order. Here we discuss numerical approaches to reconstruct the n lowest eigenvalues of the entanglement spectrum from the first n Rényi entropies including characteristic polynoms, maximum entropy techniques, and a power method. We further discuss the stability of the entanglement spectrum in the presence of thermal fluctuations.

We illustrate our findings for the one-dimensional S = 1/2 quantum Heisenberg model in a ladder geometry, which exhibits a quantum phase transition from a symmetry protected phase to a trivial phase.