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We consider interacting Bose particles in an external potential. It is shown that a Bose-Einstein condensate is possible at finite temperatures that describes a supersolid in three dimensions (3D) for a wide range of potentials in the…

Quantum Gases · Physics 2021-04-16 Moorad Alexanian , Vanik E. Mkrtchian

Bose-Einstein-condensed gases in external spatially random potentials are considered in the frame of a stochastic self-consistent mean-field approach. This method permits the treatment of the system properties for the whole range of the…

Disordered Systems and Neural Networks · Physics 2007-12-04 V. I. Yukalov , E. P. Yukalova , K. V. Krutitsky , R. Graham

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

The resonant formation of nonlinear coherent modes in trapped Bose-Einstein condensates is studied. These modes represent nonground-state Bose condensates. The methods of describing the spectrum of the nonlinear modes are discussed. The…

Condensed Matter · Physics 2007-05-23 V. I. Yukalov , E. P. Yukalova , V. S. Bagnato

The problem of particle fluctuations in arbitrary nonuniform systems with Bose-Einstein condensate is considered. This includes the case of trapped Bose atoms. It is shown that the correct description of particle fluctuations for any…

Quantum Gases · Physics 2015-05-13 V. I. Yukalov

Bose-Einstein condensation is a unique phase transition in that it is not driven by inter-particle interactions, but can theoretically occur in an ideal gas, purely as a consequence of quantum statistics. This chapter addresses the question…

Quantum Gases · Physics 2016-09-16 Robert P. Smith

We show how fragmentation of a Bose-Einstein condensate can occur given repulsive inter-particle interactions and a non-uniform external potential.

Quantum Physics · Physics 2015-06-26 R. W. Spekkens , J. E. Sipe

We investigate a Bose-Einstein condensate in strong interaction with a single impurity particle. While this situation has received considerable interest in recent years, the regime of strong coupling remained inaccessible to most approaches…

Quantum Gases · Physics 2021-02-02 Moritz Drescher , Manfred Salmhofer , Tilman Enss

We have studied the tunability of the interaction between permanent dipoles in Bose-Einstein condensates. Based on time-dependent control of the anisotropy of the dipolar interaction, we show that even the very weak magnetic dipole coupling…

Condensed Matter · Physics 2009-11-07 Stefano Giovanazzi , Axel Gorlitz , Tilman Pfau

The zero-temperature system of two dilute overlapping Bose-Einstein condensates is unstable against long wavelength excitations if the interaction strength between the distinguishable bosons exceeds the geometric mean of the like-boson…

Condensed Matter · Physics 2009-10-30 Eddy Timmermans

The propagation of solitons in dipolar BEC in a trap potential with a barrier potential is investigated. The regimes of soliton transmission, reflection and splitting as a function of the ratio between the local and dipolar nonlocal…

Pattern Formation and Solitons · Physics 2013-07-17 F. Kh. Abdullaev , V. A. Brazhnyi

We consider a hybrid atom-optomechanical system consisting of a mechanical membrane inside an optical cavity and an atomic Bose-Einstein condensate outside the cavity. The condensate is confined in an optical lattice potential formed by a…

Quantum Gases · Physics 2021-03-03 Jia-Ming Cheng , Zheng-Wei Zhou , Guang-Can Guo , Han Pu , Xiang-Fa Zhou

The occurrence of a molecular Bose-Einstein condensate is studied for an atomic system near a zero energy resonance of the binary scattering process, with a large and positive scattering length. The interaction potential is modeled by a…

Statistical Mechanics · Physics 2007-05-23 L. Pricoupenko

In this paper, we study the bound state analysis of a one dimensional nonlinear version of the Schr\"{o}dinger equation for the harmonic oscillator potential perturbed by a $\delta$ potential, where the nonlinear term is taken to be…

Statistical Mechanics · Physics 2024-04-10 Cenk Akyüz , Fatih Erman , Haydar Uncu

We investigate Bose-Einstein condensation of noninteracting gases in a harmonic trap with an off-center dimple potential. We specifically consider the case of a tight and deep dimple potential which is modelled by a point interaction. This…

Quantum Physics · Physics 2009-11-13 Haydar Uncu , Devrim Tarhan , Ersan Demiralp , Ozgur E. Mustecaplioglu

Considering an effectively attractive quasi-one-dimensional Bose-Einstein condensate of atoms confined in a toroidal trap, we find that the system undergoes a phase transition from a uniform to a localized state, as the magnitude of the…

Condensed Matter · Physics 2009-11-07 G. M. Kavoulakis

A Bose-Einstein condensation theory for any integer spin using noncommutative quantum mechanics methods is considered. The effective potential is derived as a multipolar expansion in the non-commutativity parameter ($\theta$) and, at second…

High Energy Physics - Theory · Physics 2009-12-15 J. Gamboa , F. Mendez

Mesoscopic interacting Bose-Einstein condensates confined in a few traps display phase transitions that cannot be explained with a mean field theory. By describing each trap as an effective site of a Bose-Hubbard model and using the…

Quantum Gases · Physics 2018-09-07 A. Gallemí , M. Guilleumas , R. Mayol , A. Sanpera

We use supercomputer simulations to show that inter-atomic interactions can strongly affect the phase evolution of Bose-Einstein condensates that are diffracted from atom chips, thereby explaining recent experiments. Interactions broaden…

Other Condensed Matter · Physics 2009-11-13 T. E. Judd , R. G. Scott , T. M. Fromhold

A simple model of Bose-Einstein condensation of interacting particles is proposed. It is shown that in the condensate state the dependence of thermodynamic quantities on the interaction constant does not allow an expansion in powers of the…

Statistical Mechanics · Physics 2017-01-04 Yu. M. Poluektov