Block entanglement in the ground state of the Majumdar-Ghosh model

Authors

Jade Farrah Dianne T. Mendoza ⋅ PH National Institute of Physics, University of the Philippines Diliman
Francis N. C. Paraan ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

We use matrix product state representations and transfer matrix methods to calculate the reduced density matrix of a block of spins in the ground state of the Majumdar-Ghosh spin chain. The full entanglement spectrum is obtained and the von Neumann entanglement entropy is expressed as a function of block length. We found that the von Neumann entropy increases exponentially fast as the length of the block increases and has a saturation value of S_max = ln 3.

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Issue

2016: Proceedings of the 34th Samahang Pisika ng Pilipinas Physics Conference

Physics at the front and center: Strengthening core values in physics research
18–21 August 2016, University of the Philippines Visayas, Iloilo City

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Article ID

SPP-2016-PB-22

Section

Poster Session PB

Published

2016-08-18

How to Cite

[1]

JFDT Mendoza and FNC Paraan, Block entanglement in the ground state of the Majumdar-Ghosh model, Proceedings of the Samahang Pisika ng Pilipinas 34, SPP-2016-PB-22 (2016). URL: https://proceedings.spp-online.org/article/view/SPP-2016-PB-22.