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Peer-reviewedCC BY 4.0Physical Review Research

Freezing and shielding under global quenches for long-range interacting many-body systems

Abstract

We investigate how local perturbations spread on long-range interacting spin chains and show how their nonequilibrium behavior exactly matches the one of a Fermi-Hubbard model with long-range hoppings. We then focus on the thermalization of the fermionic model following a sudden quench of local interactions between two distinct fermionic species. For both models, the quasiparticle spectrum consists of gapped low-energy levels, while the high-energy ones accumulate at a single point. When the low-energy gaps are large enough, turning on the local interactions does not effectively mix high- and low-energy modes, resulting in a freezing of the dynamical evolution. In general, the states within the excited subspace are shielded from the long-range signatures of the model, which are responsible for the low-energy extended states, and the dynamics effectively look as if long-range couplings were absent. This shielding mechanism becomes evident in the presence of disorder. It is shown that shielding and freezing are a universal feature of long-range interacting systems, and their relation to the existence of quasistationary states is conjectured.

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BibTeX
@article{arrufatvicente2026freezing,
  title = {{Freezing and shielding under global quenches for long-range interacting many-body systems}},
  author = {Daniel Arrufat-Vicente and Nicolò Defenu},
  journal = {Physical Review Research},
  year = {2026},
  month = oct,
  doi = {10.1103/f7cn-h597},
  url = {http://link.aps.org/doi/10.1103/f7cn-h597},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Freezing and shielding under global quenches for long-range interacting many-body systems
AU  - Daniel Arrufat-Vicente
AU  - Nicolò Defenu
PY  - 2026
DA  - 2026/10/23
JO  - Physical Review Research
DO  - 10.1103/f7cn-h597
UR  - http://link.aps.org/doi/10.1103/f7cn-h597
AB  - We investigate how local perturbations spread on long-range interacting spin chains and show how their nonequilibrium behavior exactly matches the one of a Fermi-Hubbard model with long-range hoppings. We then focus on the thermalization of the fermionic model following a sudden quench of local interactions between two distinct fermionic species. For both models, the quasiparticle spectrum consists of gapped low-energy levels, while the high-energy ones accumulate at a single point. When the low-energy gaps are large enough, turning on the local interactions does not effectively mix high- and low-energy modes, resulting in a freezing of the dynamical evolution. In general, the states within the excited subspace are shielded from the long-range signatures of the model, which are responsible for the low-energy extended states, and the dynamics effectively look as if long-range couplings were absent. This shielding mechanism becomes evident in the presence of disorder. It is shown that shielding and freezing are a universal feature of long-range interacting systems, and their relation to the existence of quasistationary states is conjectured.
SN  - 2643-1564
ER  -