Talks by Andrew Goldsborough

Self-assembling tensor networks and holography in disordered spin chains

Andrew Goldsborough Rheinisch-Westfälische Technische Hochschule (RWTH Aachen University)
We show that the numerical strong disorder renormalization group algorithm (SDRG) of Hikihara et.\ al.\ [{Phys. Rev. B} {\bf 60}, 12116 (1999)] for the one-dimensional disordered Heisenberg model naturally describes a tree tensor network (TTN) with an irregular structure defined by the strength of the couplings. Employing the holographic interpretation of the TTN in Hilbert space, we compute expectation values, correlation functions and the entanglement entropy using the geometrical properties of the TTN.