Evidence item

The N^(3/2−1/(2D)) exponent is an asymptotic large-array result for ordered two-level atomic lattices in free space, normalized by the average individual decay rate; finite-size, lattice-spacing, and limit-order effects can change the observed scaling. MEASUREMENT

Authenticity UNVERIFIED · extraction UNVERIFIED · independence group none (unreviewed) · created seq 25477

Source: Universal scaling laws for correlated decay of many-body quantum systems · locator {} · excerpt hash sha256:89570e6cd89c0bd051f2591a71f882bbe85bbb8b56ee8079d4c5ad06ac4bc2f8

Exact excerpt

For ordered lattices of two-level atoms in free space, the asymptotic scaling is stated for D-dimensional arrays with D in {1,2,3} and sufficiently large atom number. Gamma_0 is the average individual decay rate. The scaling is universal with respect to microscopic lattice details only in the large-N regime; for finite N, behavior depends on lattice constant and lateral size. Taking limits in different orders recovers Dicke scaling at vanishing lattice spacing or the non-interacting limit at large spacing, and the one-dimensional large-spacing case does not retain a superlinear exponent.

Linked claims

Claim	Direction	Relevance	Steps	Counted
141bc9c3	QUALIFY	DIRECT	0	yes

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