2023/05/01 by Kanato Goto, Taozhi Guo, Goto, Kanato +9 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Chromodynamics and Particle Interactions #Quantum Physics (quant-ph) #Quantum many-body systems #Statistical Mechanics (cond-mat.stat-mech) #Strongly Correlated Electrons (cond-mat.str-el) #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.2305.01019
openalex publication_date 2023/05/01 · openalex created_date 2023/05/04 · openalex updated_date 2026/07/28
We study the effect of spatial inhomogeneity on quantum information scrambling, a process of spreading and locally hiding quantum information in quantum many-body systems. As a paradigmatic example, we consider the quantum chaotic Ising spin chain and its inhomogeneous counterpart that is obtained by modulating the Hamiltonian density. Specifically, we consider the so-called Möbius and sine-square deformations that were previously studied in the context of (1+1)-dimensional conformal field theories (1+1 d CFTs). In the spatial region where the modulated energy density is small, these deformations prevent the spreading of quantum information while in the region where the modulated energy density is large quantum information scrambling is accelerated. This suggests that we can control the scrambling and butterfly effect by spatially modulating the Hamiltonian density. We also found that the time dependence of energy density exhibits the signature of black-hole-like excitation found in the 1+1 d CFTs even in the chaotic spin chain.