SP Seminar @SISSA Via Bonomea 265 - Tuesday 26 November at 11am - Zhao Zhang

[CM Section]

Joint ICTP/SISSA Statistical Physics Seminar

Tuesday 26 November at 11:00 a.m.
venue: SISSA, Via Bonomea 265

Speaker: Zhao Zhang
Shanghai Jiao Tong University

Title: Motzkin Spin Chains and their Exact Holographic
Tensor Network Representations

Abstract:
Motzkin spin chains and their area-weighted deformations are a 
countinuous family of one-
dimensional frustration-free Hamiltonians, whose ground states exhibit a 
novel quantum phase
transition. By tuning a single parameter, they go from a phase obeying 
an area law to a highly
entangled rainbow phase, where the half-chain entropy scales with the 
volume. Using the
representation of these ground states as superpositions of random walks, 
we introduce tensor
networks for these ground states where local and global rules of the 
walker are baked into bulk
tensors, thereby providing an efficient description of the ground states 
(some of which satisfy a
volume law scaling of entanglement entropy).