For trapped Bose-Einstein condensates in the Gross-Pitaevskii regime, the exponential moment <ψ_N, exp(κ N_⊥)ψ_N> is uniformly bounded in N for small κ>0, giving exponential decay of the excitation probability.
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Exponential Control of Excitations for Trapped BEC in the Gross-Pitaevskii Regime
For trapped Bose-Einstein condensates in the Gross-Pitaevskii regime, the exponential moment <ψ_N, exp(κ N_⊥)ψ_N> is uniformly bounded in N for small κ>0, giving exponential decay of the excitation probability.