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Recent advances in molecular cooling have enabled the realization of strongly dipolar Bose-Einstein condensates (BECs) of molecules, and BECs of many different molecular species may become experimentally accessible in the near future. Here,…

We study the superfluid character of a dipolar Bose-Einstein condensate (DBEC) in a quasi-two dimensional (q2D) geometry. In particular, we allow for the dipole polarization to have some non-zero projection into the plane of the condensate…

Quantum Gases · Physics 2015-05-20 Christopher Ticknor , Ryan M. Wilson , John L. Bohn

We have observed Bose-Einstein condensation (BEC) of trapped atomic hydrogen, and studied it by two-photon spectroscopy of the 1S-2S transition. In these lecture notes we briefly review the history of spin-polarized atomic hydrogen and…

In this paper we develop a gapless theory of BEC which can be applied to both trapped and homogeneous gases at zero and finite temperature. The many-body Hamiltonian for the system is written in a form which is approximately quadratic with…

Statistical Mechanics · Physics 2009-10-31 S. A. Morgan

A harmonically trapped Bose-Einstein condensate (BEC) leads to topologically trivial compact states. Because of the long-range nonlocal dipole-dipole interaction, a strongly dipolar BEC revealed many novel phenomena. Here we show that in a…

Quantum Gases · Physics 2025-07-28 S. K. Adhikari

A generic class of scalar active matter, characterized at the mean field level by the diffusivity vanishing above some threshold density, was recently introduced [Golestanian R 2019 Phys. Rev. E 100 010601(R)]. In the presence of harmonic…

Statistical Mechanics · Physics 2020-08-26 Benoît Mahault , Ramin Golestanian

We investigate the possibility that the BEC-like phenomena recently detected on two-dimensional finite trapped systems consist of fragmented condensates. We derive and diagonalize the one-body density matrix of a two-dimensional…

Statistical Mechanics · Physics 2015-06-25 Juan Pablo Fernández , William J. Mullin

We explore the dynamical stabilities of a quasi-one dimensional (1D) Bose-Einstein condensate (BEC) consisting of fixed $N$ atoms with time-independent external potential. For the stationary states with zero flow density the general…

Quantum Physics · Physics 2009-11-13 Wenhua Hai , Guishu Chong , Jianwen Song

Bose-condensed gases are considered with an effective interaction strength varying in the whole range of the values between zero and infinity. The consideration is based on the usage of a representative statistical ensemble for Bose systems…

Statistical Mechanics · Physics 2009-11-13 V. I. Yukalov , E. P. Yukalova

Through exact numerical solutions we show Bose-Einstein condensation (BEC) for the one-dimensional (1D) bosons with repulsive short-range interactions at zero temperature by taking a particular large size limit. Following the…

Quantum Gases · Physics 2013-03-13 Jun Sato , Eriko Kaminishi , Tetsuo Deguchi

Nonlinear oscillations of a 3D radial symmetric Bose-Einstein condensate under periodic variation in time of the atomic scattering length have been studied analytically and numerically. The time-dependent variational approach is used for…

Other Condensed Matter · Physics 2009-11-10 Fatkhulla Kh. Abdullaev , Ravil M. Galimzyanov , Marijana Brtka , Roberto A. Kraenkel

We study the finite size effects on Bose-Einstein condensation (BEC) of an ideal non-relativistic Bose gas in the three-sphere (spatial section of the Einstein universe) and in a partially finite box which is infinite in two of the spatial…

Quantum Gases · Physics 2013-05-06 J. M. B. Noronha , D. J. Toms

We analyze, analytically and numerically, the position, momentum, and in particular the angular-momentum variance of a Bose-Einstein condensate (BEC) trapped in a two-dimensional anisotropic trap for static and dynamic scenarios. The…

Quantum Gases · Physics 2019-11-04 Ofir E. Alon

Universality is a fundamental concept in physics that allows for the description of properties of systems that are independent of microscopic details. In this work, we show that polaritons in a Bose-Einstein condensate (BEC) are a suitable…

Quantum Gases · Physics 2023-09-04 A. Camacho-Guardian

The dynamics of Bose-Einstein condensate (BEC) is studied at nonzero temperatures using our variational time-dependent-HFB formalism. We have shown that this approach is an efficient tool to study the expansion and collective excitations of…

Quantum Gases · Physics 2013-08-29 Abdelâali Boudjemâa

We study Bose-Einstein condensation (BEC) in one-dimensional noninteracting Bose gases in Poisson random potentials on $\mathbb R$ with single-site potentials that are nonnegative, compactly supported, and bounded measurable functions in…

Mathematical Physics · Physics 2021-01-01 Maximilian Pechmann

We develop a simple analytical model based on a variational method to explain the properties of trapped cylindrically symmetric Bose-Einstein condensates (BEC) of varying degrees of anisotropy well into regimes of effective one dimension…

Statistical Mechanics · Physics 2009-11-07 Kunal Das

The nonlinear dynamics of a Bose-Einstein condensate (BEC) of dipolar excitons trapped in an external confining potential in coupled quantum wells is analysed. It is demonstrated that under typical experimental conditions the dipolar…

Quantum Gases · Physics 2012-07-17 O. L. Berman , R. Ya. Kezerashvili , G. V. Kolmakov , Yu. E. Lozovik

The critical properties displayed by an ideal 2D Bose gas trapped in a harmonic potential are determined and characterized in an exact numerical fashion. Beyond thermodynamics, addressed in terms of the global pressure and volume which are…

Quantum Gases · Physics 2023-08-10 M. I. Morales-Amador , V. Romero-Rochin , R. Paredes

We consider the possible existence of gravitationally bound general relativistic strings consisting of Bose-Einstein condensate (BEC) matter which is described, in the Newtonian limit, by the zero temperature time-dependent nonlinear…

General Relativity and Quantum Cosmology · Physics 2015-09-29 Tiberiu Harko , Matthew J. Lake