Hilbert Space Fragmentation and Subspace Scar Time-Crystallinity in Driven Homogeneous Central-Spin Models
arxiv(2024)
摘要
We study the stroboscopic non-equilibrium quantum dynamics of periodically
kicked Hamiltonians involving homogeneous central-spin interactions. The system
exhibits a strong fragmentation of Hilbert space into four-dimensional
Floquet-Krylov subspaces, which oscillate between two disjointed
two-dimensional subspaces and thus break the discrete time-translation symmetry
of the system. Our analytical and numerical analyses reveal that fully
polarized states of the satellite spins exhibit fragmentations that are stable
against perturbations and have high overlap with Floquet eigenstates of
atypically low bipartite entanglement entropy (scar states). We present
evidence of robust time-crystalline behavior in the form of a period doubling
of the total magnetization of fully polarized satellite spin states that
persists over long time scales. We compute non-equilibrium phase diagrams with
respect to a magnetic field, coupling terms, and pulse error for various
interaction types, including Heisenberg, Ising, XXZ, and XX. We also discuss
possible experimental realizations of scar time crystals in color center,
quantum dot, and rare-earth ion platforms.
更多查看译文
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要