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<p>In this paper, we investigate a class of one-dimensional bounded Jacobi operators under a uniform electric field. We rigorously demonstrate that their eigenstates exhibit uniform exponential localization and satisfy strong dynamical localization. As an application, we further employ the strong dynamical localization properties of these operators to derive the Stark dynamical localization for a class of quantum chains under a linearly increasing transverse magnetic field.</p>

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Stark localization of Jacobi operator with applications to quantum spin models

  • 期刊论文

  • 发表日期：

    2025年11月10日

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  • Yingte Sun,
  • Chen Wang

摘要

In this paper, we investigate a class of one-dimensional bounded Jacobi operators under a uniform electric field. We rigorously demonstrate that their eigenstates exhibit uniform exponential localization and satisfy strong dynamical localization. As an application, we further employ the strong dynamical localization properties of these operators to derive the Stark dynamical localization for a class of quantum chains under a linearly increasing transverse magnetic field.