The Excitation Spectrum for Weakly Interacting Bosons in a Trap
By Philip D. Grech, Robert Seiringer. 2012
133 citations recorded by the source corpus.
We investigate the low-energy excitation spectrum of a Bose gas confined in a trap, with weak long-range repulsive interactions. In particular, we prove that the spectrum can be described in terms of the eigenvalues of an effective one-particle operator, as predicted by the Bogoliubov approximation.
Subfields: Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/ceed76047e2d4775306784e508371903c568c9f5
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In Atomic and Molecular Physics, and Optics
- Niels Benedikter
- M. Porta
- B. Schlein
- Mathieu Lewin
- Phan Thanh Nam
- Nicolas Rougerie
- Sylvia Serfaty
- J. P. Solovej
Citations in the corpus
- Bogoliubov Spectrum of Interacting Bose Gases (2012, methodology): “In [53, 24], Seiringer and Grech have shown a result similar to Theorem 2.”
- Mean–Field Evolution of Fermionic Systems (2013, background): “A first proof of the emergence of Bogoliubov excitation spectrum has been found in [38] (for systems of bosons in a box) and in [24] (in the presence of an external potential).”
- Derivation of Hartree's theory for generic mean-field Bose systems (2013, background): “els. The proof of (1.3) is available in the literature for numerous special cases, including “bosonic atoms” [9, 62, 5, 6, 33], boson stars [45, 46], the homogeneous Bose gas [56], trapped Bose gases [27], the Lieb-Liniger model [40, 57], and many others. More abstract models are discussed in [23, 6”