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For a system of identical Bose particles sitting on integer energy levels, we give sharp estimates for the convergence of the sequence of occupation numbers to the Bose-Einstein distribution and for the Bose condensation effect.

Probability · Mathematics 2008-12-31 V. P. Maslov , V. E. Nazaikinskii

This paper has been withdrawn by the author(s), as required by JPC-Journal of Physical Chemistry for reasons of publication.

Soft Condensed Matter · Physics 2007-05-23 Kimani A. Stancil , Michael S. Feld , Mehran Kardar

This article gives a detailed presentation of the authors' recent results on the ground state properties of the Bose gas. It is a much expanded version of a talk given by one of the authors (E.H.L.) at the conference "Perspectives in…

Mathematical Physics · Physics 2007-05-23 Elliott H. Lieb , Robert Seiringer , Jan Philip Solovej , Jakob Yngvason

We show that the dynamics of phonons in a set of trapped ions interacting with lasers is described by a Bose-Hubbard model whose parameters can be externally adjusted. We investigate the possibility of observing several quantum many-body…

Quantum Physics · Physics 2009-11-10 D. Porras , J. I. Cirac

This paper has been withdrawn by the author due to an error in the treatment of the earth acceleration in the accelerated frame of the Cooper pairs

Superconductivity · Physics 2007-05-23 Robert Desbrandes

This paper has been withdrawn

Probability · Mathematics 2011-05-26 Martin Forde

Using two-photon Bragg spectroscopy, we study the energy of particle-like excitations in a strongly interacting homogeneous Bose-Einstein condensate, and observe dramatic deviations from Bogoliubov theory. In particular, at large scattering…

This article reviews recent investigations on the phenomenon of Bose-Einstein condensation of dilute gases. Since the experimental observation of quantum degeneracy in atomic gases, the research activity in the field of coherent…

Soft Condensed Matter · Physics 2007-05-23 Ph. W. Courteille , V. S. Bagnato , V. I. Yukalov

This paper has been withdrawn by the author.

Number Theory · Mathematics 2009-06-19 Yuqing Zhang

Bose-Einstein correlations are being exploited to obtain information about the structure of the sources of hadrons in multiple particle production processes. In this paper the principles of this approach are described and some of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Kacper Zalewski

We present a mathematically rigorous analysis of the superfluid properties of a Bose-Einstein condensate in the many-body ground state of a one-dimensional model of interacting bosons in a random potential.

Quantum Gases · Physics 2017-06-29 Martin Könenberg , Thomas Moser , Robert Seiringer , Jakob Yngvason

We explain from first principles why satisfying conservation laws in Bose Einstein condensate dynamics requires many-body theory. For the Gross-Pitaevskii mean-field we show analytically and numerically that conservation laws are violated.…

Quantum Gases · Physics 2018-12-14 Kaspar Sakmann , Jörg Schmiedmayer

This paper was withdrawn by the author. It turns out that similar ideas have been presented before. The author apologizes.

Quantum Physics · Physics 2007-05-23 Oliver A. Ruebenacker

The effect of the random quantum transverse field $\Omega$

Disordered Systems and Neural Networks · Physics 2007-05-23 H. Ez-Zahraouy

The paper was withdrawn by the author. Further research is needed.

patt-sol · Physics 2007-05-23 V. S. Shchesnovich

This paper has been withdrawn by the authors in order to replace it with a more correct treatment. The basic results remain the same but the treatment is more rigorously correct.

High Energy Physics - Theory · Physics 2007-10-16 Debashis Gangopadhyay , Rajsekhar Bhattacharyya , L. P. Singh

This paper has been withdrawn.

Quantum Physics · Physics 2007-05-23 Cristopher Moore

We study Bose gases in $d$ dimensions, $d \ge 2$, with short-range repulsive pair interactions, at positive temperature, in the canonical ensemble and in the thermodynamic limit. We assume the presence of hard Poissonian obstacles and focus…

Mathematical Physics · Physics 2022-11-01 Joachim Kerner , Maximilian Pechmann

This paper is withdrawn by the authors.

Superconductivity · Physics 2007-05-23 Taku J Sato , Kaoru Shibata , Yoshihiko Takano

This paper has been withdrawn.

Quantum Physics · Physics 2011-02-01 Gavriel Segre