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Exact damping-basis continued fractions for few-atom lasers: collective correlations beyond second-order cumulant closure
We combine the Briegel--Englert damping basis of a lossy cavity mode with the permutation-invariant Liouville basis of \(N\) identical, incoherently pumped two-level emitters. The resulting Liouvillian is exactly block tridiagonal in a single radial field index, with atomic blocks of dimension \(\bi
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