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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

We study both mean-field and full quantum dynamics of symmetry-breaking transitions (SBTs) in a coupled two-component Bose-Einstein condensate. By controlling s-wave scattering lengths and coupling strength, it is possible to stimulate SBTs…

Mesoscale and Nanoscale Physics · Physics 2010-04-22 Chaohong Lee

In this paper we explore the rich structure of macroscopic many-particle quantum states for Bose- Einstein condensate in an optical cavity with the tunable nonlinear atom-photon interaction [Nature (London) 464, 1301 (2010)]. Population…

Quantum Gases · Physics 2015-06-19 Xiuqin Zhao , Ni Liu , J-Q Liang

We consider a dilute atomic Bose-Einstein condensate with two non-degenerate internal energy levels. The presence of an external radiation field can result in new ground states for the condensate which result from the lowering of the…

Soft Condensed Matter · Physics 2009-10-31 C. P. Search , A. G. Rojo , P. R. Berman

We formulate a conserving gapless mean-field theory for Bose-Einstein condensates on the basis of a Luttinger-Ward thermodynamic functional. It is applied to a weakly interacting uniform gas with density $n$ and s-wave scattering length $a$…

Superconductivity · Physics 2009-11-10 Takafumi Kita

We study a two component Bose-Einstein condensate in the presence of an inhomogeneous artificial gauge field. In response to this field, the condensate forms a localised vortex lattice structure that leads to a non-trivial symmetry breaking…

Quantum Gases · Physics 2020-11-18 S. Sahar S. Hejazi , Juan Polo , Rashi Sachdeva , Thomas Busch

We construct a many-body Gaussian variational approach for the two-dimensional trapped Bose gas in the condensate phase. Interaction between particles is modelized by a generalized pseudo-potential of zero range that allows recovering…

Other Condensed Matter · Physics 2009-11-10 Ludovic Pricoupenko

We perform numerical simulation based on the time-dependent mean-field Gross-Pitaevskii equation to understand some aspects of a recent experiment by Donley et al. on the dynamics of collapsing and exploding Bose-Einstein condensates of…

Soft Condensed Matter · Physics 2009-11-07 Sadhan K. Adhikari

We study the effective time evolution of a large quantum system consisting of a mixture of different species of identical bosons in interaction. If the system is initially prepared so as to exhibit condensation in each component, we prove…

Mathematical Physics · Physics 2016-09-13 Alessandro Michelangeli , Alessandro Olgiati

We investigate the dynamics of an open Bose-Einstein condensate system consisting of two hyperfine states of the same atomic species which are coupled by tunable Raman laser. It is already suggested that the detuning between the laser…

Quantum Gases · Physics 2015-05-27 Yajiang Hao , Qiang Gu

Atom interferometers covering macroscopic domains of space-time are a spectacular manifestation of the wave nature of matter. Due to their unique coherence properties, Bose-Einstein condensates are ideal sources for an atom interferometer…

In this paper we reveal the rich ground-state properties induced by the strong nonlinear atom-photon interaction, which has been found in the recent experiment about a Bose-Einstein condensate coupling with a high-finesse cavity [Nature…

Quantum Physics · Physics 2015-05-28 Ni Liu , Jinling Lian , Jie Ma , Liantuan Xiao , Gang Chen , J. -Q. Liang , Suotang Jia

We study the equilibrium dynamics of a weakly interacting Bose-Einstein condensate trapped in a box. In our approach we use a semiclassical approximation similar to the description of a multi-mode laser. In dynamical equations derived from…

Condensed Matter · Physics 2015-06-24 K. Goral , M. Gajda , K. Rzazewski

At finite temperatures below the phase transition point, the Bose-Einstein condensation, the macroscopic occupation of a single quantum state by particles of integer spin, is not complete. In the language of superfluid helium, this means…

Mathematical Physics · Physics 2015-09-16 Dionisios Margetis

The motto of this paper is: Let's face Bose-Einstein condensation through nonlinear dynamics. We do this by choosing variational forms of the condensate wave functions (of given symmetry classes), which convert the Bose-Einstein condensates…

Quantum Physics · Physics 2010-01-12 G. Wunner , H. Cartarius , T. Fabčič , P. Köberle , J. Main , T. Schwidder

We experimentally and theoretically study phase coherence in two-component Bose-Einstein condensates of $^{87}{\rm Rb}$ atoms on an atom chip. Using Ramsey interferometry we measure the temporal decay of coherence between the…

Systems of Bose particles with both repulsive and attractive interactions are studied using the Skyrme-like mean-field model. The phase diagram of such systems exhibits two special lines in the chemical potential-temperature plane: one line…

Nuclear Theory · Physics 2017-11-22 L. M. Satarov , M. I. Gorenstein , A. Motornenko , V. Vovchenko , I. N. Mishustin , H. Stoecker

We outline the general features of the conventional mean-field theory for the description of Bose-Einstein condensates at near zero temperatures. This approach, based on a phenomenological model, appears to give excellent agreement with…

Statistical Mechanics · Physics 2009-10-30 N. P. Proukakis , K. Burnett

A novel class of non-local interactions between bosons is found to favor a crystalline Bose-Einstein condensation ground state. By using both low energy effective field theory and variational wavefunction method, we compare this state not…

Quantum Gases · Physics 2011-02-11 Xiaopeng Li , W. Vincent Liu , Chungwei Lin

Atom interferometry with high visibility is of high demand for precision measurements. Here, a parallel multicomponent interferometer is achieved by preparing a spin-$2$ Bose-Einstein condensate of $^{87}$Rb atoms confined in a hybrid…

Quantum Gases · Physics 2019-08-01 Pengju Tang , Peng Peng , Zhihan Li , Xuzong Chen , Xiaopeng Li , Xiaoji Zhou