Production of ~(87)Rb Bose–Einstein Condensate in an Asymmetric Crossed Optical Dipole Trap

We report the production of ~(87)Rb Bose–Einstein condensate in an asymmetric crossed optical dipole trap(ACODT) without the need of an additional dimple laser. In our experiment, the ACODT is formed by two laser beams with different radii to achieve efficient capture and rapid evaporation of laser cooled atoms. Compared to the cooling procedure in a magnetic trap, the atoms are firstly laser cooled and then directly loaded into an ACODT without the pre-evaporative cooling process. In order to determine the optimal parameters for evaporation cooling, we optimize the power ratio of the two beams and the evaporation time to maximize the final atom number left in the ACODT. By loading about 6 × 10~5 laser cooled atoms in the ACODT, we obtain a pure Bose–Einstein condensate with about 1.4 × 10~4 atoms after 19 s evaporation. Additionally, we demonstrate that the fringe-type noises in optical density distributions can be reduced via principal component analysis, which correspondingly improves the reliability of temperature measurement.     

Production of dual species Bose–Einstein condensates of ~(39)K and ~(87)Rb

We report the production of~(39) K and~(87) Rb Bose–Einstein condensates(BECs) in the lowest hyperfine states |F =1, m_F = 1 simultaneously. We collect atoms in bright/dark magneto-optical traps(MOTs) of~(39) K/~(87) Rb to overcome the light-assisted losses of~(39) K atoms. Gray molasses cooling on the D1 line of the~(39) K is used to effectively increase the phase density, which improves the loading efficiency of~(39) K into the quadrupole magnetic trap. Simultaneously, the normal molasses is employed for~(87) Rb. After the microwave evaporation cooling on~(87) Rb in the optically plugged magnetic trap,the atoms mixture is transferred to a crossed optical dipole trap, where the collisional properties of the two species in different combinations of the hyperfine states are studied. The dual species BECs of~(39) K and~(87) Rb are obtained by further evaporative cooling in an optical dipole trap at a magnetic field of 372.6 G with the background repulsive interspecies scattering length a_(KRb)= 34 a_0(a_0 is the Bohr radius) and the intraspecies scattering length a_K= 20.05 a_0.     

Fast Generation of GHZ States with Bose–Einstein Condensate in a Cavity

It is shown that strong coupling of Bose–Einstein condensates to an optical cavity can be realized experimentally. With an additional driven microwave field, we show that a highly nonlinear coupling among atoms in a Bose–Einstein condensate can be induced with the assistance of the cavity mode. With such interaction, we can investigate the generation of many body entangled states. In particularly, we show that multipartite entangled GHZ states can be obtained in such architecture with current available techniques.     

Instabilities of a Filled Vortex in a Two-Component Bose–Einstein Condensate

JETP Letters - A two-component Bose–Einstein condensate of cold atoms with a strong intercomponent repulsion leading to the spatial separation of the components has been numerically studied....     

Photon Emissions from a Spinor Bose–Einstein Condensate of Positroniums

We investigate the quantum dynamics of the decay of a multiple-component positronium condensate into pairs of photons. A positronium atom has four internal spin states which are interconvertible through s-wave interactions. The quantum fields of all spin states of positroniums and photons are simulated from first principle in quasi-one-dimensional system using the truncated Wigner method. This method warrants us a full treatment of the depletion of positronium fields and the spin mixing induced by s-wave collisions between positronium atoms. Particularly,it yields the momentum spectrum of the emitted photons and the photon-photon correlations.     

Solitons in One-Dimensional Bose–Einstein Condensate with Higher-Order Interactions

We model a one-dimensional Bose–Einstein condensate with the one-dimensional Gross–Pitaevskii equation(1 D GPE) incorporating higher-order interaction effects. Based on the F-expansion method, we analytically solve the1 D GPE, identifying the typical soliton solution under certain experimental settings within the general wave-like solution set, and demonstrating the applicability of the theoretical treatment that is employed.     

Nonresonant Excitation of a Magnon Bose–Einstein Condensate in MnCO3

JETP Letters - Coupled nuclear–electron precession in MnCO3 under nonresonant excitation is studied. The experimental results clearly confirm the formation of a magnon Bose–Einstein...     

On the Bose–Einstein Condensate of Excitons in Crystals with Defects

Optics and Spectroscopy - The possibility of formation of a Bose–Einstein condensate (BEC) of excitons in a model nonideal lattice of a molecular crystal is considered. The spectrum of...     

Electromagnetically-Induced Transparency in Optomechanical Systems with Bose–Einstein Condensate

We study theoretically electromagnetically-induced transparency (EIT) in an optomechanical system that consists of a Bose–Einstein condensate (BEC) trapped inside a Fabry–Perot cavity driven by the laser field. The quantized laser field interacts with the collective density excitations (Bogoliubov mode) of the condensate. The phenomenon of electromagnetically-induced transparency is observed in the output of the probe laser field. We show that the probe laser field can efficiently be amplified or attenuated depending on the interaction of the BEC with the pump laser field. Furthermore, we explain the effect of atom–atom interaction on the transparency window and show that for increasing atom–atom interaction the transparency window increases.     

Quantum Entanglement in a Spin-Orbit Coupled Bose–Einstein Condensate

We study the spin-field and the spin-spin entanglement in the ground state of a spin-orbit coupled Bose–Einstein condensate. It is found that the spin-field and the spin-spin entanglement can be induced by the spin-orbit coupling. By mapping the system to the Dicke-like model,the system exhibits a quantum phase transition from a normal(spin balanced) phase to superradiant(spin polarized) phase. The Dicke-like phase transition can be captured by the spin-field and the spin-spin entanglement arising from the spin-orbit coupling. The spin-field and the spin-spin entanglement increase as the Raman coupling increases in the superradiant phase,while they decrease with the Raman coupling increasing in the normal phase. We also consider the effect of a finite detuning on these entanglement show that the presence of the detuning suppresses the spin-field and the spin-spin entanglement.     

Dynamics of Hysteresis for a Bose–Einstein Condensate Soliton in a Dynamic Trap

The dynamics of the fundamental soliton of Bose–Einstein atomic condensate is analytically and numerically examined and compared in two schemes: (i) a magnetic or an optical trap with oscillating walls and (ii) a single oscillating atomic mirror in a homogeneous gravitational field. It is demonstrated that the dependence of the degree of excitation of the soliton motion on the rate of scanning of the instantaneous oscillation frequency has a band structure.     

Variational Approach to Study PT-Symmetric Solitons in a Bose–Einstein Condensate with Non-locality of Interactions

Considering the non-locality of interactions in a Bose–Einstein condensate, the existence and stability of solitons subject to a PT-symmetric potential are discussed. In the framework of the variational approach, we investigate how the non-locality of interactions affects the self-localization and stability of a condensate with attractive two-body interactions. The results reveal that the non-locality of interactions dramatically influences the shape,width, and chemical potential of the condensate. Analytically variational computation also predicts that there exists a critical negative non-local interaction strength(p_c 0) with each fixed two-body interaction(g_0 0),and there exists no bright soliton solution for p_0 p_c. Furthermore, we study the effect of the non-locality interactions on the stability of the solitons using the Vakhitov–Kolokolov stability criterion. It is shown that for a positive non-local interaction(p_0 0), there always exist stable bright solitons in some appropriate parameter regimes.     

Collision dynamics between stretched states of spin-2 87Rb Bose–Einstein condensates

We experimentally observed the time dependence of the spin populations of spin-2 ⁸⁷Rb Bose–Einstein condensates confined in an optical trap. The condensed atoms were initially populated in the stretched states |F=2,m _F =+2〉 and |F=2,m _F =?2〉 with several varieties of population imbalances. No spin-exchange collisions were observed in a weak magnetic field of 45 mG. The atom loss rate depended on the observed relative population of spin-states. We calculated the loss rate due to two-body inelastic collisions with the population imbalance using an experimentally estimated rate of 17.0(±1.9)×10^?14 cm³?s^?1 under the population balance. The calculations were in good agreement with the measurements. Our results show that the dependence of inelastic collisions on spin channels plays an important role in the time-evolution of spin populations.     

Dynamic Structure Factor of an Optically Trapped Dipolar Bose–Einstein Condensate

Motivated by the recent experimental achievements in using the Bragg spectroscopy to measure the excitation spectrum of an ultra-cold atomic system with long-range interactions, we investigate the dynamic structure factor of a cigar-shaped dipolar Bose condensate trapped in a one-dimensional optical lattices. Our results show that the Bogoliubov bands of the system, particularly the lowest one, can be significantly influenced when one tunes the dipole orientation. Consequently, the calculated static structure factor of an optically trapped dipolar Bose gas shows marked difference from the non-dipolar one. Moreover, we show that the effects of dipole-dipole interaction on the dynamic structure factor is also strongly affected by the strength of the optical confinement.     

Current–phase relations of a ring-trapped Bose–Einstein condensate with a weak link

The current–phase relations of a ring-trapped Bose–Einstein condensate interrupted by a rotating rectangular barrier are extensively investigated with an analytical solution. A current–phase diagram, single and multi-valued relation, is presented with a rescaled barrier height and width. Our results show that the finite size makes the current–phase relation deviate a little bit from the cosine form for the soliton solution in the limit of a vanishing barrier, and the periodic boundary condition selects only the plane wave solution in the case of high barrier. The reason for multi-valued current–phase relation is given by investigating the behavior of soliton solution.     

Bose–Einstein condensation of a relativistic Bose gas in a harmonic potential

Using semiclassical method, Bose–Einstein condensation (BEC) of a relativistic ideal Bose gas (RIBG) with and without antibosons in the three-dimensional (3D) harmonic potential is investigated. Analytical expressions for the BEC transition temperature, condensate fraction, specific heat and entropy of the system are obtained. Relativistic effects on the properties of the system are discussed and it is found that the relativistic effect decreases the transition temperature T_c but enlarges the gap of specific heat at T_c. We also study the influence of antibosons on a RIBG. Comparing with the system without antibosons, the system with antibosons has a higher transition temperature and a lower Helmholtz free energy. It implies that the system with antibosons is more stable.     

Expansion dynamics of a spherical Bose–Einstein condensate

We experimentally and theoretically observe the expansion behaviors of a spherical Bose–Einstein condensate. A rubidium condensate is produced in an isotropic optical dipole trap with an asphericity of 0.037. We measure the variation of the condensate size in the expansion process after switching off the trap. The free expansion of the condensate is isotropic,which is different from that of the condensate usually produced in the anisotropic trap. We derive an analytic solution of the expansion behavior based on the spherical symmetry, allowing a quantitative comparison with the experimental measurement. The interaction energy of the condensate is gradually converted into the kinetic energy during the expansion and after a long time the kinetic energy saturates at a constant value. We obtain the interaction energy of the condensate in the trap by probing the long-time expansion velocity, which agrees with the theoretical calculation. This work paves a way to explore novel quantum states of ultracold gases with the spherical symmetry.     

Three-body decay of a rubidium Bose–Einstein condensate

We have measured the three-body decay of a Bose–Einstein condensate of rubidium (⁸⁷Rb) atoms prepared in the doubly polarized ground state F=m _F =2. Our data are taken for a peak atomic density in the condensate varying between 2×10¹⁴ cm^-3 at initial time and 7×10¹³ cm^-3, 16 s later. Taking into account the influence of the uncondensed atoms on the decay of the condensate, we deduce a rate constant for condensed atoms L=1.8 (±0.5) ×10^-29 cm⁶ s^-1. For these densities we did not find a significant contribution of two-body processes such as spin dipole relaxation. Received: 24 November 1998 / Revised version: 26 June 1999 / Published online: 8 September 1999     

Optimized production of a cesium Bose–Einstein condensate

We report on the optimized production of a Bose–Einstein condensate of cesium atoms using an optical trapping approach. Based on an improved trap loading and evaporation scheme we obtain more than 10⁵ atoms in the condensed phase. To test the tunability of the interaction in the condensate we study the expansion of the condensate as a function of scattering length. We further excite strong oscillations of the trapped condensate by rapidly varying the interaction strength. PACS 03.75.Kk; 32.80.Pj     

Features of the Interaction of a Magnon Bose—Einstein Condensate with Acoustic Modes in Yttrium Iron Garnet Films

JETP Letters - The interaction of a magnon Bose—Einstein condensate (mBEC) in a perpendicularly magnetized yttrium iron garnet film with high-order acoustic modes appearing at the sizes of an...