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arXiv · 2002.00013

Anisotropy-mediated reentrant localization

Xiaolong Deng·Alexander L. Burin·Ivan M. Khaymovich
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Abstract

We consider a 2d dipolar system, $d=2$, with the generalized dipole-dipole interaction $\sim r^{-a}$, and the power $a$ controlled experimentally in trapped-ion or Rydberg-atom systems via their interaction with cavity modes. We focus on the dilute dipolar excitation case when the problem can be effectively considered as single-particle with the interaction providing long-range dipolar-like hopping. We show that the spatially homogeneous tilt $\beta$ of the dipoles giving rise to the anisotropic dipole exchange leads to the non-trivial reentrant localization beyond the locator expansion, $a a_{AT}$. This localization emerges due to the presence of the ergodic extended states at either spectral edge, which constitute a zero fraction of states in the thermodynamic limit, decaying though extremely slowly with the system size.

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Xiaolong Deng, Alexander L. Burin, Ivan M. Khaymovich. 2020-01-31. Anisotropy-mediated reentrant localization. https://doi.org/10.21468/scipostphys.13.5.116

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