2021/04/27 by Maxwell Block, Yimu Bao, Soonwon Choi +8
Computer Science · Mathematics · Physics and Astronomy · #Conformal field theory #Conformal map #Critical exponent #Critical phenomena #Geometry #Ising model #Law #Mathematics #Phase diagram #Phase transition #Physics #Power law #Quantum #Quantum Computing Algorithms and Architecture #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Scrambling #Statistical physics #Theoretical and Computational Physics #Unitary state #Universality (dynamical systems) #cond-mat.dis-nn #cond-mat.stat-mech #cond-mat.str-el #hep-th #quant-ph
paper · pdf · doi:10.1103/physrevlett.128.010604
published as Phys. Rev. Lett. 128, 010604 (2022) · 6+10 pages, 3+9 figures
arxiv created 2021/04/27 · openalex publication_date 2021/04/27 · openalex created_date 2022/01/25 · arxiv updated 2022/03/25 · openalex updated_date 2026/08/05
The competition between scrambling unitary evolution and projective measurements leads to a phase transition in the dynamics of quantum entanglement. Here, we demonstrate that the nature of this transition is fundamentally altered by the presence of long-range, power-law interactions. For sufficiently weak power-laws, the measurement-induced transition is described by conformal field theory, analogous to short-range-interacting hybrid circuits. However, beyond a critical power-law, we demonstrate that long-range interactions give rise to a continuum of non-conformal universality classes, with continuously varying critical exponents. We numerically determine the phase diagram for a one-dimensional, long-range-interacting hybrid circuit model as a function of the power-law exponent and the measurement rate. Finally, by using an analytic mapping to a long-range quantum Ising model, we provide a theoretical understanding for the critical power-law.