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Add reference to [Jauslin, 2023]

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Ian Jauslin 2023-02-28 16:29:50 -05:00
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Jauslin_2023b.tex
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@ -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.
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bibliography.bib
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@ -32,6 +32,7 @@
@article{FAe21, doi = {10.1140/epjqt/s40507-020-00090-8}, url = {https://doi.org/10.1140%2Fepjqt%2Fs40507-020-00090-8}, year = 2021, month = {jan}, publisher = {Springer Science and Business Media {LLC}}, volume = {8}, number = {1}, author = {Kai Frye and Sven Abend and Wolfgang Bartosch and Ahmad Bawamia and Dennis Becker and Holger Blume and Claus Braxmaier and Sheng-Wey Chiow and Maxim A. Efremov and Wolfgang Ertmer and Peter Fierlinger and Tobias Franz and Naceur Gaaloul and Jens Grosse and Christoph Grzeschik and Ortwin Hellmig and Victoria A. Henderson and Waldemar Herr and Ulf Israelsson and James Kohel and Markus Krutzik and Christian K{\"u}rbis and Claus L{\"a}mmerzahl and Meike List and Daniel L{\"u}dtke and Nathan Lundblad and J. Pierre Marburger and Matthias Meister and Moritz Mihm and Holger M{\"u}ller and Hauke M{\"u}ntinga and Ayush M. Nepal and Tim Oberschulte and Alexandros Papakonstantinou and Jaka Perov{\u{s}}ek and Achim Peters and Arnau Prat and Ernst M. Rasel and Albert Roura and Matteo Sbroscia and Wolfgang P. Schleich and Christian Schubert and Stephan T. Seidel and Jan Sommer and Christian Spindeldreier and Dan Stamper-Kurn and Benjamin K. Stuhl and Marvin Warner and Thijs Wendrich and Andr{\'{e}} Wenzlawski and Andreas Wicht and Patrick Windpassinger and Nan Yu and Lisa W{\"o}rner}, title = {The Bose-Einstein Condensate and Cold Atom Laboratory}, journal = {{EPJ} Quantum Technology} }
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@incollection{Ja22, doi = {10.4171/90-1/25}, url = {https://doi.org/10.4171%2F90-1%2F25}, year = 2022, month = {jun}, publisher = {{EMS} Press}, pages = {609--635}, author = {Ian Jauslin}, title = {Review of a Simplified Approach to study the Bose gas at all densities}, booktitle = {The Physics and Mathematics of Elliott Lieb} }
@misc{Ja23, doi = {10.48550/arXiv.2302.13446}, url = {https://arxiv.org/abs/2302.13446}, author = {Jauslin, Ian}, title = {The Simplified approach to the Bose gas without translation invariance}, journal = {arXiv preprint}, year = {2023}, eprint = {arXiv:2302.13446}}
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