English

Geometric control of maximal entanglement via bound states in the continuum

Quantum Physics 2026-02-27 v1

Abstract

Bound states in the continuum (BiCs) convert dissipative open systems into effectively closed quantum subspaces through destructive interference. We show that two identical giant atoms coupled to a one-dimensional waveguide support BICs that coincide with maximally entangled atomic states. Most importantly, entanglement is predominantly determined by the geometric design; the ratio of intra-atomic connection lengths fixes the concurrence, while the propagation phase between atoms selects a family of Bell-like states. We further analyze the dynamical stability of these maximally entangled BICs under exact time evolution, revealing a clear hierarchy of robustness against parameter perturbations. Our results establish an analytical bridge between symmetry, geometry, entanglement, and BICs in giant-atom waveguide platforms.

Keywords

Cite

@article{arxiv.2602.23082,
  title  = {Geometric control of maximal entanglement via bound states in the continuum},
  author = {Alexis R. Legón and Mario Miranda Rojas and Pedro Orellana and Ariel Norambuena},
  journal= {arXiv preprint arXiv:2602.23082},
  year   = {2026}
}

Comments

5 pages, 3 figures