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We report on the experimental investigation of the response of a three-dimensional Bose-Einstein condensate (BEC) in the presence of a one-dimensional (1D) optical lattice. By means of Bragg spectroscopy we probe the band structure of the…

Other Condensed Matter · Physics 2015-02-27 N. Fabbri , D. Clément , L. Fallani , C. Fort , M. Modugno , K. M. R. van der Stam , M. Inguscio

We consider the Gross-Pitaevskii (GP) equation in the presence of periodic and quasiperiodic superlattices to study cigar-shaped Bose-Einstein condensates (BECs) in such potentials. We examine spatially extended wavefunctions in the form of…

Pattern Formation and Solitons · Physics 2009-11-10 Mason A. Porter , P. G. Kevrekidis

The dynamics of attractive bosons trapped in one dimensional anharmonic potentials is investigated. Particular emphasis is put on the variance of the position and momentum many-particle operators. Coupling of the center-of-mass and…

Quantum Gases · Physics 2018-12-18 Ofir E. Alon , Lorenz S. Cederbaum

Shortcuts to adiabatic expansion of the effectively one-dimensional Bose-Einstein condensate (BEC) loaded in the harmonic-oscillator (HO) trap is investigated by combining techniques of the variational approximation and inverse engineering.…

Quantum Physics · Physics 2020-05-26 Tang-You Huang , Boris A. Malomed , Xi Chen

We investigate a harmonically trapped two-component Bose--Einstein condensate within the miscible regime, close to its boundaries, for different ratios of effective intra- and inter-species interactions. We derive analytically a universal…

Quantum Gases · Physics 2015-05-28 J. Polo , P. Mason , S. Sridhar , T. P. Billam , V. Ahufinger , S. A. Gardiner

We consider the fate of Bose-Einstein condensation (BEC) with time-reversal symmetry and inversion symmetry in a spin-orbit coupled bilayer system. When these two symmetry operators commute, all the single particle bands are exactly…

Quantum Gases · Physics 2018-01-31 Jia-Ming Cheng , Xiang-Fa Zhou , Zheng-Wei Zhou , Guang-Can Guo , Ming Gong

We present a study of binary mixtures of Bose-Einstein condensates confined in a double-well potential within the framework of the mean field Gross-Pitaevskii equation. We reexamine both the single component and the binary mixture cases for…

Quantum Gases · Physics 2011-03-10 M. Mele-Messeguer , B. Julia-Diaz , M. Guilleumas , A. Polls , A. Sanpera

We investigate numerically the momentum density and phase maps $-$in coordinate and momentum space$-$ of a two dimensional Bose-Einstein condensate (BEC) excited by a moving red-detuned laser potential. The BEC is confined in a harmonic…

Quantum Gases · Physics 2021-07-27 Roger R. Sakhel , Asaad R. Sakhel , Humam B. Ghassib

A closer look at some proposed Gedanken-experiments on BECs promises to shed light on several aspects of reduction and emergence in physics. These include the relations between classical descriptions and different quantum treatments of…

Quantum Physics · Physics 2015-05-14 Richard Healey

In the present paper, we investigate the dynamics of a Bose-Einstein condensates (BEC) loaded into an deep optical lattice of 1D, 2D and 3D, both analytically and numerically. We focus on the self-trapping state and the effect of the system…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Ju-Kui Xue , Ai-Xia Zhang , Jie Liu

We consider the ground state of a trapped Bose-Einstein condensate in two dimensions. In the mean-field approximation, the ground state density profile satisfies the Gross-Pitaevskii equation. We compute the leading quantum corrections to…

Condensed Matter · Physics 2009-10-31 Jens O. Andersen , Haarek Haugerud

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

We study the dynamics of three-dimensional weakly linked Bose-Einstein condensates using a multimode model with an effective interaction parameter. The system is confined by a ring-shaped four-well trapping potential. By constructing a…

Quantum Gases · Physics 2018-02-27 M. Nigro , P. Capuzzi , H. M. Cataldo , D. M. Jezek

In view of the coherent properties of a large number of atoms, Bose-Einstein Condensates (BECs) have a high potential for sensing applications. Several proposals have been put forward to use collective excitations such as phonons in BECs…

Quantum Physics · Physics 2021-10-04 Dennis Rätzel , Ralf Schützhold

In this paper, we study a system of bosons trapped in a confining potential, interacting with a quantized field of coherent photons in the mean field description of non-relativistic Quantum Electrodynamics (QED) obtained by [N. Leopold and…

Mathematical Physics · Physics 2026-04-28 Thomas Chen , Ali Mezher

A uniform dilute Bose gas of known density has a universal behavior as the atomic scattering length tends to infinity at unitarity while most of its properties are determined by a universal parameter $\xi$ relating the energies of the…

Quantum Gases · Physics 2015-06-04 Luis E. Young-S , S. K. Adhikari , P. Muruganandam

Bose-Einstein condensate (BEC) is considered under conditions of Feshbach resonance in two-atom collisions due to a coupling of atomic pair and resonant molecular states. The association of condensate atoms can form a molecular BEC, and the…

Soft Condensed Matter · Physics 2007-05-23 Vladimir A. Yurovsky

The ground state of a Bose-Einstein condensate in a two-dimensional trap potential is analyzed numerically at the infinite-particle limit. It is shown that the anisotropy of the many-particle position variance along the $x$ and $y$ axes can…

Quantum Gases · Physics 2019-07-09 Ofir E. Alon

Using the Liouville space framework developed in nonlinear optics we calculate the linear response functions and susceptibilities of Bose-Einstein condensates (BEC) subject to an arbitrary mechanical force. Distinct signatures of the…

Soft Condensed Matter · Physics 2009-11-10 S. Choi , V. Chernyak , S. Mukamel

The simplest model of three coupled Bose-Einstein Condensates (BEC) is investigated using a group theoretical method. The stationary solutions are determined using the SU(3) group under the mean field approximation. This semiclassical…

Quantum Physics · Physics 2009-11-06 K. Nemoto , C. A. Holmes , G. J. Milburn , W. J. Munro