2020/08/31 by Chunxiao Liu, Pengfei Zhang, Xiao Chen
Physics and Astronomy · #Advanced Condensed Matter Physics #Chain (unit) #Dynamics (music) #Formalism (music) #Path integral formulation #Phase transition #Physics of Superconductivity and Magnetism #Quantum entanglement #Quantum many-body systems #Series (stratigraphy) #Unitary state #cond-mat.str-el #quant-ph
paper · pdf · doi:10.21468/scipostphys.10.2.048
published as SciPost Phys. 10, 048 (2021) · 18 pages, 11 figures
openalex created_date 2020/09/01 · arxiv created 2021/01/12 · openalex publication_date 2021/02/23 · arxiv updated 2021/02/24 · openalex updated_date 2026/08/06
We construct a series of one-dimensional non-unitary dynamics consisting of both unitary and imaginary evolutions based on the Sachdev-Ye-Kitaev model. Starting from a short-range entangled state, we analyze the entanglement dynamics using the path integral formalism in the large N limit. Among all the results that we obtain, two of them are particularly interesting: (1) By varying the strength of the imaginary evolution, the interacting model exhibits a first order phase transition from the highly entangled volume law phase to an area law phase; (2) The one-dimensional free fermion model displays an extensive critical regime with emergent two-dimensional conformal symmetry.