Behavior of Entanglement near Quantum Critical Point in Spin-1/2 Chains

Pandey, Rithwik (2021) Behavior of Entanglement near Quantum Critical Point in Spin-1/2 Chains. Masters thesis, Indian Institute of Science Education and Research Kolkata.

Text (MS Dissertation of Rithwik Pandey (16MS063)) 16MS063_Thesis_file.pdf - Submitted Version Restricted to Repository staff only Download (2MB)

Abstract

The aim of this report is to study Quantum Phase Transitions from the viewpoint of Entanglement Entropy. Second order Quantum Phase Transitions are identified by a diverging correlation length and a vanishing energy gap. More recently entanglement entropy has been used to study the behavior of a Quantum Critical systems as it has been seen some in systems that non-analyticity of the ground state energy may not capture a QPT. Also as Quantum systems may have correlations ”stronger” than classically possible, entanglement is a tool of paramount importance in the field of Quantum Information Processing. In this report we study the behaviour of entanglement across a QCP by taking examples of three di↵erent models. We use a combination of numerical and analytical tools to analyse this behaviour. iv

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