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The nucleation of vortices and the resulting structures of vortex arrays in dilute, trapped, zero-temperature Bose-Einstein condensates are investigated numerically. Vortices are generated by rotating a three-dimensional, anisotropic…

Statistical Mechanics · Physics 2009-10-31 David L. Feder , Charles W. Clark , Barry I. Schneider

The second-order coherence of photons scattered from a trapped Bose-Einstein condensate is found to be enhanced for the scattering angles that are either the same or symmetrical with respect to the direction of laser propagation. The…

Condensed Matter · Physics 2009-10-31 Hiroki Saito , Masahito Ueda

We study the large-volume asymptotics of the sum of power-weighted edge lengths $\sum_{e \in E}|e|^\alpha$ in Poisson-based spatial random networks. In the regime $\alpha > d$, we provide a set of sufficient conditions under which the upper…

Probability · Mathematics 2025-01-08 Christian Hirsch , Daniel Willhalm

In a previous paper we established that for the perfect Bose gas and the mean-field Bose gas with an external random or weak potential, whenever there is generalized Bose-Einstein condensation in the eigenstates of the single particle…

Mathematical Physics · Physics 2015-05-19 Thomas Jaeck , Joseph V. Pulé , Valentin Zagrebnov

We prove two equilibrium properties of a system of interacting atoms in three or higher dimensional continuous space. (i) If the particles interact via pair potentials of a nonnegative Fourier transform, their self-organization into…

Mathematical Physics · Physics 2023-05-31 Andras Suto

We explored the dynamics of how a Bose-Einstein condensate collapses and subsequently explodes when the balance of forces governing the size and shape of the condensate is suddenly altered. A condensate's equilibrium size and shape is…

We develop the dilute Bose gas model with random potential in order to understand the Bose system in random media such as 4He in porous glass. Using the random potential taking account of the pore size dependence, we can compare…

Soft Condensed Matter · Physics 2009-11-07 Michikazu Kobayashi , Makoto Tsubota

The dynamics of a 2D Bose-Einstein condensate in optical trap is studied taking into consideration fluctuations of the far-off-resonance laser field intensity. The problem is described in the frame of the mean field Gross-Pitaevskii…

Soft Condensed Matter · Physics 2007-05-23 F. Kh. Abdullaev , B. B. Baizakov , V. V. Konotop

We studied the nucleation of vortices in a Bose-Einstein condensate stirred by a laser beam. We observed the vortex cores using time-of-flight absorption imaging. By varying the size of the stirrer, we observed either discrete resonances or…

Soft Condensed Matter · Physics 2009-11-07 C. Raman , J. R. Abo-Shaeer , J. M. Vogels , K. Xu , W. Ketterle

We report the experimental observation of a lensing effect on a Bose-Einstein condensate expanding in a moving 1D optical lattice. The effect of the periodic potential can be described by an effective mass dependent on the condensate…

Soft Condensed Matter · Physics 2009-11-10 L. Fallani , F. S. Cataliotti , J. Catani , C. Fort , M. Modugno , M. Zawada , M. Inguscio

We report on experiments that demonstrate dynamical instability in a Bose-Einstein condensate at the band-edge of a one-dimensional optical lattice. The instability manifests as rapid depletion of the condensate and conversion to a thermal…

Other Condensed Matter · Physics 2009-11-13 Andrew J. Ferris , Matthew J. Davis , Reece W. Geursen , P. Blair Blakie , Andrew C. Wilson

We study the dynamics of a Bose-Einstein condensate in a double-well potential in the two-mode approximation. The dissipation of energy from the condensate is described by the coupling to a thermal reservoir of non-condensate modes. As a…

Condensed Matter · Physics 2009-10-31 Janne Ruostekoski , Dan F. Walls

Bose-Einstein condensates initially arranged in a long chain freely expand and interfere. If the initial phases of the condensates are identical, the initial density distribution is restored periodically during the expansion, giving rise to…

Quantum Gases · Physics 2026-03-25 Ilia Mosaki , A. V. Turlapov

By colliding two Bose-Einstein condensates we have observed strong bosonic stimulation of the elastic scattering process. When a weak input beam was applied as a seed, it was amplified by a factor of 20. This large gain atomic four-wave…

Soft Condensed Matter · Physics 2009-11-07 J. M. Vogels , K. Xu , W. Ketterle

In this paper, we present a theoretical and numerical analysis of the free expansion of a Bose-Einstein condensate, where we assume that the single particle energy spectrum is deformed due to a possible quantum structure of spacetime. Also,…

General Relativity and Quantum Cosmology · Physics 2016-12-22 Elías Castellanos , Celia Escamilla-Rivera

Superfluid phenomena can be explained in terms of the topologies of the order parameter and of the confining vessel. For example, currents in a toroidal vessel can be characterized by a discrete and conserved quantity, the winding number.…

Condensed Matter · Physics 2007-05-23 Th. Busch , J. R. Anglin , W. H. Zurek

The density of bosonic states are calculated for spinless free massive bosons in generalised d dimensions. The number of bosons are calculated in the lowest energy state. The Bose Einstein condensation was found in generalised dimensions…

Statistical Mechanics · Physics 2013-04-02 Ajanta Bhowal , Muktish Acharyya

The properties of a rotating Bose-Einstein condensate confined in a prolate cylindrically symmetric trap are explored both analytically and numerically. As the rotation frequency increases, an ever greater number of vortices are…

Statistical Mechanics · Physics 2009-11-07 D. L. Feder , C. W. Clark

We describe financial systems as condensates, similar to Bose-Einstein condensates, and calculate statistical distributions following from the model. The calculated distributions of investments into speculated financial assets are found…

Statistical Mechanics · Physics 2008-12-10 Kestutis Staliunas

We develop our novel model of cosmology based on the Bose-Einstein condensation. This model unifies the Dark Energy and the Dark Matter, and predicts multiple collapse of condensation, followed by the final acceleration regime of cosmic…

Astrophysics · Physics 2009-06-23 Takeshi Fukuyama , Masahiro Morikawa , Takayuki Tatekawa