Berlin 2015 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 65: Low-Dimensional Systems: 1D – Theory
TT 65.14: Vortrag
Mittwoch, 18. März 2015, 18:45–19:00, H 0104
Quench dynamics of the entanglement spectrum in a dimerized chain — •Yi-Hao Jhu1,4, Pochung Chen1,2, Ming-Chiang Chung2,3, and Frank Pollmann4 — 1Physics Department, National Tsing Hua University, Hsinchu, 30013, Taiwan — 2Physics Division, National Center for Theoretical Science, Hsinchu, 30013, Taiwan — 3Department of Physics, National Chung Hsing University, Taichung, 40227, Taiwan — 4Max-Planck-Institut für Physik komplexer Systeme, Dresden, 01187, Germany
We investigate the quench dynamics of a dimerized chain of spin less fermions in the presence of nearest-neighbor interactions. We first obtain the ground state phase diagram and focus on the stability of a topological phase of "Su-Schrieffer-Heeger" type. We then study the evolution of the entanglement spectrum following a global quench in which the dimerization strength is changed. In the non-interacting case, degeneracies in the spectrum revive at long times which indicates the stability of the topological properties. When interactions between the fermions are present, the state thermalizes and the degeneracies are lost. We furthermore derive a topological invariant that shows a similar behavior.