Dresden 2011 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 49: CE: Spin Systems and Itinerant Magnets 2

TT 49.9: Vortrag

Donnerstag, 17. März 2011, 16:15–16:30, HSZ 03

(contribution withdrawn) Entanglement Spectra and Entanglement Hamiltonians for quantum spin chains — •Ronny Thomale¹, Stephan Rachel², Daniel P. Arovas³, and B. Andrei Bernevig¹ — ¹Department of Physics, Princeton University, Princeton, New Jersey 08544, USA — ²Department of Physics, Yale University, New Haven, Connecticut 06520, USA — ³Department of Physics, University of California at San Diego, La Jolla, California 92093, USA

We give a complete definition of the entanglement gap separating low-energy, CFT levels, from high-energy, generic ones, in the "entanglement spectrum" in the momentum cut of gapless quantum spin chains. The approach allows to study the dimerization transition, bulk excitation state counting, and the manifestation of logarithmic CFT corrections purely from the ground state wave function. It provides a new formulation of non-local order in quantum spin chains.

From a different angle, we address the question of how to define Hermitian operators which would serve as entanglement Hamiltonians for spin chains and discuss correspondences and differences between energy and entanglement spectra.