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We consider the problem when there are two kinds of Bosons with an attraction between them. We find the system to consist of two Bose condensates with an additional pairing order between the Bosons. The properties of this state are…

Quantum Gases · Physics 2016-04-21 S. T. Chui

Analogue models for gravity intend to provide a framework where matter and gravity, as well as their intertwined dynamics, emerge from degrees of freedom that have a priori nothing to do with what we call gravity or matter. Bose Einstein…

General Relativity and Quantum Cosmology · Physics 2008-12-03 Florian Girelli , Stefano Liberati , Lorenzo Sindoni

A theoretical model is developed for treating super conductive Bose-Einstein condensation (BEC) effects for excitons in planar systems, under the condition that many excitons are included in a surface area, with the dimensions of the…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Y. Ben-Aryeh

According to the well-known analysis by Nozi\'{e}res, the fragmentation of the condensate increases the energy of a uniform interacting Bose system. Therefore, at $T= 0$ the condensate should be nonfragmented. We perform a more detailed…

Quantum Gases · Physics 2021-07-20 Maksim Tomchenko

We study interacting Bose gases of dimensions $2\le d \in \mathbb N$ at zero temperature in a random model known as the Kac-Luttinger model. Choosing the pair-interaction between the bosons to be of a mean-field type, we prove (complete)…

Mathematical Physics · Physics 2024-07-02 Chiara Boccato , Joachim Kerner , Maximilian Pechmann

This thesis describes the observation and study of Bose-Einstein condensation of a trapped, dilute gas of atomic hydrogen. The condensate and normal gas are studied by two-photon spectroscopy of the 1S-2S transition. We condense over 10^9…

Atomic Physics · Physics 2007-05-23 Dale G. Fried

Recently Liu et al. [PRL 87, 030404 (2001)] examined the lowest state of a weakly-interacting Bose-Einstein condensate. In addition to other interesting results, using the method of the pair correlation function, they questioned the…

Statistical Mechanics · Physics 2009-11-07 G. M. Kavoulakis , S. M. Reimann , B. Mottelson

Various widely-used mean-field type theories for a dilute Bose gas are critically examined in the light of the recent discovery of Bose-Einstein condensation of atomic gases in a confined geometry. By numerically solving the mean-field…

Condensed Matter · Physics 2009-10-30 Tomoya Isoshima , Kazushige Machida

The behavior of a Bose-Einstein ideal gas of particles in a three dimensional space in the presence of a uniform field, such as gravity, and of contact interaction, describing the presence of one impurity, is investigated. It is shown that…

Statistical Mechanics · Physics 2007-05-23 Roberto Soldati , Alberto Zannoni

Shell-shaped Bose-Einstein condensate (BEC) is a typical quantum system in curved geometry. Here we propose a new type of shell-shaped BEC with self-bound character, thereby liberating it from stringent conditions such as microgravity or…

Quantum Gases · Physics 2025-01-30 Yinfeng Ma , Xiaoling Cui

The Bogoliubov theory is extended to a Bose-Einstein condensation with internal degrees of freedom, realized recently in $^{23}$Na gases where several hyperfine states are simultaneously cooled optically. Starting with a Hamiltonian…

Condensed Matter · Physics 2009-10-31 Tetsuo Ohmi , Kazushige Machida

Adding a gauge symmetry breaking field -\nu\sqrt{V}(a_0+a_0^*) to the Hamiltonian of some simplified models of an interacting Bose gas we compute the condensate density and the symmetry breaking order parameter in the limit of infinite…

Statistical Mechanics · Physics 2009-11-10 Andras Suto

We study the Bose-Einstein condensation (BEC) for a system of $^7Li$ atoms, which have negative scattering length (attractive interaction), confined in a harmonic potential. Within the Bogoliubov and Popov approximations, we numerically…

Condensed Matter · Physics 2007-05-23 B. Pozzi , L. Salasnich , A. Parola , L. Reatto

This Resource Letter provides a guide to the literature on Bose-Einstein condensation in trapped dilute gases. Journal articles and books are cited for the following topics: history, technological advances, condensates as quantum fluids,…

Condensed Matter · Physics 2009-11-10 David S. Hall

To investigate the phenomenon of Bose-Einstein condensation in perfect crystals a hierarchy of equations for reduced density matrices that describes a thermodynamically equilibrium quantum system is employed, the hierarchy being obtained…

Quantum Physics · Physics 2012-03-20 V. A. Golovko

Static, dynamic, and topological properties of hollow systems differ from those that are fully filled as a result of the presence of a boundary associated with an inner surface. Hollow Bose-Einstein condensates (BECs) naturally occur in…

Quantum Gases · Physics 2018-07-18 Kuei Sun , Karmela Padavić , Frances Yang , Smitha Vishveshwara , Courtney Lannert

For spin one atoms localized in a quadrapole magnetic field gradient, the atoms may be impeded from spin flipping their way out from the center of the trap by the application of a rotating uniform magnetic field. From a quantum mechanical…

Statistical Mechanics · Physics 2007-05-23 Juhao Wu , A. Widom

The problem of understanding how a coherent, macroscopic Bose-Einstein condensate (BEC) emerges from the cooling of a thermal Bose gas has attracted significant theoretical and experimental interest over several decades. The pioneering…

The onset of Bose-Einstein condensation in systems with { various} densities of states is examined, with particular attention to the role of the behavior of their {energy} spectrum at low and high energies. Specifically, the results of…

Statistical Mechanics · Physics 2026-02-20 Alexios P. Polychronakos , Stephane Ouvry

The formation of a Bose condensate of magnons in a perpendicularly magnetized film of yttrium iron garnet under radio-frequency pumping in a strip line is studied experimentally. The characteristics of nonlinear magnetic resonance and the…

Mesoscale and Nanoscale Physics · Physics 2020-12-30 P. M. Vetoshko , G. A. Knyazev , A. N. Kuzmichev , A. A. Holin , V. I. Belotelov , Yu. M. Bunkov