Exact valence bond entanglement entropy in the XXZ and related spin chains
Seminar Room 1, Newton Institute
Valence bond entanglement entropy has recently been proposed as an alternative to the well-known von Neumann entropy, measuring the information density in the ground state of spin chains. It is the mean value of the number N of valence bonds (spin singlets) connecting a subsystem of length L >> 1 to the remainder of the chain. We determine exactly the complete probability distribution of N in the XXZ spin chain, as well as in other related spin chains. At the combinatorial point (bond percolation) we conjecture exact expressions of that same distribution for finite values of L and the chain length.
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