2023/04/22 by Huan-Qiang Zhou, Zhou, Huan-Qiang, Qianqian Shi +5
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Mathematical Physics (math-ph) #Neural Networks and Reservoir Computing #Quantum many-body systems #Strongly Correlated Electrons (cond-mat.str-el)
paper · pdf · doi:10.48550/arxiv.2304.11339
openalex publication_date 2023/04/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A universal finite system-size scaling analysis of the entanglement entropy is presented for highly degenerate ground states arising from spontaneous symmetry breaking with type-B Goldstone modes in exactly solvable one-dimensional quantum many-body systems. These states appear to be scale-invariant, but not conformally invariant. Our findings are based on a physical argument, imposing three constraints on the entanglement entropy, in addition to further confirmation from an asymptotic analysis of the entanglement entropy for the \rm SU(2) spin-1/2 ferromagnetic states. The resulting universal scaling form is demonstrated for three fundamental models -- the \rm SU(2) spin-s Heisenberg ferromagnetic model, the \rm SU(N+1) ferromagnetic model, and the staggered \rm SU(3) spin-1 ferromagnetic biquadratic model. The results point towards a classification for distinct types of scale-invariant states, relevant to a complete classification of quantum states of matter.