@article{15002,
  abstract     = {The lattice Schwinger model, the discrete version of QED in 
1
+
1
 dimensions, is a well-studied test bench for lattice gauge theories. Here, we study the fractal properties of this model. We reveal the self-similarity of the ground state, which allows us to develop a recurrent procedure for finding the ground-state wave functions and predicting ground-state energies. We present the results of recurrently calculating ground-state wave functions using the fractal Ansatz and automized software package for fractal image processing. In certain parameter regimes, just a few terms are enough for our recurrent procedure to predict ground-state energies close to the exact ones for several hundreds of sites. Our findings pave the way to understanding the complexity of calculating many-body wave functions in terms of their fractal properties as well as finding new links between condensed matter and high-energy lattice models.},
  author       = {Petrova, Elena and Tiunov, Egor S. and Bañuls, Mari Carmen and Fedorov, Aleksey K.},
  issn         = {1079-7114},
  journal      = {Physical Review Letters},
  number       = {5},
  publisher    = {American Physical Society},
  title        = {{Fractal states of the Schwinger model}},
  doi          = {10.1103/PhysRevLett.132.050401},
  volume       = {132},
  year         = {2024},
}