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

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.