From 8b0763d774a290caea4eafac58b30aba219413d5 Mon Sep 17 00:00:00 2001
From: Ian Jauslin <ian.jauslin@rutgers.edu>
Date: Tue, 28 Feb 2023 16:29:50 -0500
Subject: Add reference to [Jauslin, 2023]

---
 Jauslin_2023b.tex | 2 ++
 1 file changed, 2 insertions(+)

(limited to 'Jauslin_2023b.tex')

diff --git a/Jauslin_2023b.tex b/Jauslin_2023b.tex
index 7d0ed74..d7ec6a3 100644
--- a/Jauslin_2023b.tex
+++ b/Jauslin_2023b.tex
@@ -283,6 +283,8 @@ where $P_{\mathbf k}^{(i)}$ is the projector onto the subspace in which the $i$-
 Thus, $N_{\kappa}$ is the integral over the sphere of radius $\kappa$ of the number of particles in the state $e^{i\mathbf k\mathbf x}$.
 In particular, $\eta=N_0/N$.
 (The momentum distribution is then defined as $\mathcal M(\kappa):=N_\kappa/(4\pi\kappa^2\rho)$, but, in the following, we shall show results for $N_\kappa$ instead.)
+Computing $N_\kappa$ using the Simplified approach poses one difficulty: the projector $P_{\mathbf k}^{(i)}$ breaks the translation invariance of the system, which was, until recently, necessary for the derivation of the Simplified approach.
+This problem has been resolved in\-~\cite{Ja23}, in which the Simplified approach is constructed in non-translation invariant settings.
 \bigskip
 
 \indent
-- 
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