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

Authors

  • Jade Farrah Dianne T. Mendoza National Institute of Physics, University of the Philippines Diliman
  • Francis N. C. Paraan 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 Smax = ln 3.

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Issue

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.