2020/01/31 by Ian MacCormack, Mao Tian Tan, Jonah Kudler-Flam +1
Chemistry · Computer Science · Mathematics · Physics and Astronomy · #Chemistry #Mathematics #Multipartite entanglement #Operator (biology) #Phase (matter) #Physics #Quantum #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Scrambling #Singlet state #Squashed entanglement #Statistical physics #cond-mat.dis-nn #cond-mat.stat-mech #cond-mat.str-el #hep-th
paper · pdf · doi:10.1103/physrevb.104.214202
11 pages
openalex created_date 2020/01/30 · arxiv created 2021/01/11 · openalex publication_date 2021/12/02 · arxiv updated 2021/12/15 · openalex updated_date 2026/08/06
We characterize the growth and spreading of operators and entanglement in two paradigmatic nonthermalizing phases---the many-body localized (MBL) phase and the random singlet phase (RSP)---using the entanglement contour and multipartite operator entanglement measures. The entanglement contour characterizes the spacetime spreading of entanglement and reveals logarithmically growing entanglement light cones in the MBL and RSP phases, sharply contrasting the linear light cones of clean, thermalizing systems. The operator entanglement characterizes scrambling, i.e., the delocalization of information. We find slow scrambling behavior in the MBL phase; the late-time value of the tripartite mutual information scales linearly with system size, but is submaximal. The tripartite logarithmic negativity is also negative and nonzero, but smaller in magnitude, revealing an intriguing distinction between classical and quantum information scrambling in the MBL phase. This is in contrast with the RSP, which, as a noninteracting model, is nonscrambling.