Theory of the Collective Many-body Subradiance in Waveguide QED

• URL: http://arxiv.org/abs/2604.03954v1
• Date: Sun, 05 Apr 2026 04:08:47 GMT
• Title: Theory of the Collective Many-body Subradiance in Waveguide QED
• Abstract summary: We show that the linewidths of the most subradiant states exhibit a universal N-3 scaling in both cases.<n>In the deep-subwavelength regime, the decay rates display even-odd oscillations due to boundary interference.<n>These results unify the roles of Bragg-edge interference, finite-size effects, and near-field dipole-dipole interactions in shaping ultranarrow, strongly shifted subradiant resonances.
• Score: 12.120806854336386
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We present an analytical theory for the most subradiant modes in a finite one-dimensional emitter array coupled to either an ideal or a nonideal waveguide. Using an effective non-Hermitian Hamiltonian together with a Bragg-edge open-boundary ansatz, we derive compact eigenvalue expressions showing that the linewidths of the most subradiant states exhibit a universal N^{-3} scaling in both cases. However, in the deep-subwavelength regime, the decay rates display even-odd oscillations due to boundary interference. Furthermore, we demonstrate that the collective energy shift of the most subradiant state approaches a constant value that depends on the atomic separation, with the leading finite-size correction scaling as N^{-2}. These results unify the roles of Bragg-edge interference, finite-size effects, and near-field dipole-dipole interactions in shaping ultranarrow, strongly shifted subradiant resonances, providing a transparent framework beyond the ideal-waveguide limit and opening potential applications in subradiant spectroscopy and waveguide-QED-based sensing.

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