Quantum quenches in fractonic field theories

Jun 26, 2023
21 pages
e-Print:

Citations per year

20212022202302
Abstract: (arXiv)
We study out-of-equilibrium dynamics caused by global quantum quenches in fractonic scalar field theories. We consider several types of quenches, in particular, the mass quench in theories with different types of discrete rotational symmetries (Z4\mathbb{Z}_4 and Z8\mathbb{Z}_8), as well as an instantaneous quench via the transition between them. We also investigate fractonic boundary quenches, where the initial state is prepared on a finite-width slab in Euclidean time. We find that perturbing a fractonic system in finite volume especially highlights the restricted mobility via the formation and subsequent evolution of specific Z4\mathbb{Z}_4-symmetric spatial structures. We discuss a generalization to Zn\mathbb{Z}_n-symmetric field theories, and introduce a proper regularization, which allows us to explicitly deal with divergences inherent to fractonic field theories.
Note:
  • v1: 21 pages, 8 figures; v2: 20 pages, 8 figures, minor corrections; v3: 21 pages, 9 figures, minor corrections
  • field theory: scalar
  • mass: quenching
  • time: Euclidean
  • symmetry: rotation
  • regularization
  • formation
  • initial state
  • finite size
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