Geometric control of maximal entanglement via bound states in the continuum

• URL: http://arxiv.org/abs/2602.23082v1
• Date: Thu, 26 Feb 2026 15:07:52 GMT
• Title: Geometric control of maximal entanglement via bound states in the continuum
• Abstract summary: Bound states in the continuum (BiCs) convert dissipative open systems into effectively closed quantum subspaces through destructive interference.<n>We show that two identical giant atoms coupled to a one-dimensional waveguide support BICs that coincide with maximally entangled atomic states.
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• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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