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Title
Abstract
Chapter 1 Introduction
Calculations and Results
Results
Conclusion and Future Work
2 Counting Statistics and Entanglement
References
All Topics
Physics

Post-Quench Entanglement and Fluctuations in the Haldane Model

Profile image of Anmol DharAnmol Dhar

2018

Abstract

Topological insulators are materials that behave like an insulator in the bulk but have conducting edge states. These edge states are topologically protected and exhibit unique properties. Studying the dynamics of these systems far-from equilibrium can provide information on the stability of these edge states and provide insight on the propagation of entanglement which is of interest in quantum information. In this thesis, I study the far-from-equilibrium dynamics of the Haldane model. Various quenches between different topological phases are performed, and the dynamics of both the entanglement and particle numbers are analyzed. Using a correlation matrix, the time evolution of the entanglement and charge fluctuations are calculated. The dynamics of the entanglement and charge fluctuations provides insight on the evolution of this system following a quench. The charge fluctuations allow us to probe the entanglement of these systems using a quantity that can be measured experimentall...

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