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1.
The dynamics of triple-well trapped Bose-Einstein condensates with atoms feeding and loss effects
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In this paper, we consider the macroscopic quantum tunnelling and self-trapping phenomena of Bose-Einstein condensates (BECs) with three-body recombination losses and atoms feeding from thermal cloud in triple-well potential. Using the three-mode approximation, three coupled Gross-Pitaevskii equations (GPEs), which describe the dynamics of the system, are obtained. The corresponding numerical results reveal some interesting characteristics of BECs for different scattering lengths. The self-trapping and quantum tunnelling both are found in zero-phase and :r-phase modes. Furthermore, we observe the quantum beating phenomenon and the resonance character during the self-trapping and quantum tunnelling. It is also shown that the initial phase has a significant effect on the dynamics of the system. 相似文献
2.
一类变系数广义KdV-Burgers方程的求解 总被引:1,自引:1,他引:1
给出了利用截断展开法求解一类具有变系数的广义KdV Burgers方程所需满足的条件,并得到了它的1个精 确解. 相似文献
3.
对模拟超音速流场的 CSCM 方法做了修改,给出了一种更有效的简化算法.简化后的算法保持了 CSCM 的优点,减小了计算量,且使结果的分辨率提高.运用此算法模拟了激波管和喷管流场,给出了预期的结果. 相似文献
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6.
The tunneling dynamics of a dipolar bosonic gas with repulsive interactions in a periodically driven triple- well are investigated. Because of the coupled effect of long-range dipole-dipole interaction and the short-range of on-site interaction, the increase of the repulsive atomic interactions can either suppress tunneling or enhance tunneling and, thus, the system experiences rich coherent tunneling(CT)-coherent destruction of tunneling (CDT) transitions. In particular, as the repulsive atomic interactions increase, the system can undergo CT-CDT-CT- CDT or CDT-CT-CDT-CT-CDT transitions. This cannot occur in non-dipolar gas, where the increase of the repulsive atomic interaction only suppress tunneling and the system can only undergo CT-CDT transition. We further present a good understanding of the results with the help of the quasi-energy spectrum of the system. 相似文献
7.
We study the tunnelling dynamics of superfluid Fermi gases trapped in multi-well system along the BEC-BCS crossover. Within the hydrodynamical model and by using the multi-mode approximation, the self-trapping dynamics of superfluid Fermi gases in multi-well system are obtained numerically. We find that the self-trapping to diffusion transition strongly depends on the well number. When the well number is less than three, the self-trapped state takes place easier on the BEC side than that on the BCS side. However, when the well number is larger than three, the self-trapped state takes place easier on the BCS side instead of the BEC side. Furthermore, by considering a superfluid of 40K atoms, we obtain the zero-mode and π-mode Josephson frequencies of coherent atomic oscillations in double-well system. It is noteworthy that the Josephson mode, especially, the existence of π-mode frequency strongly depends on the atoms number on the BCS side. 相似文献
8.
The energy band structure of spin-1 condensates with repulsive spin-independent and either ferromagnetic or antiferromagnetic spin-dependent interactions in one-dimensional (1D) periodic optical lattices is discussed. Within the two-mode approximation, Bloch bands of spin-1 condensates are presented. The results show that the Bloch bands exhibit a complex structure as the atom density of m F=0 hyperfine state increases: bands splitting, reversion, intersection and loop structure are excited subsequently. The complex band structure should be related to the tunneling and spin-mixing dynamics. 相似文献
9.
In consideration of adiabatic dust charge variation, the
combined effect of the external magnetized field and the dust
temperature on head-on collision of the three-dimensional dust
acoustic solitary waves is investigated. By using the extended
Poincar\'e--Lighthill--Kuo method, the phase shifts and the
trajectories of two solitons after the collision are obtained. The
effects of the magnitude and the obliqueness of the external
magnetic field and the dust temperature on the
solitary wave collisions are discussed in detail. 相似文献
10.
The stability of Bose--Einstein condensates (BECs) loaded into a
two-dimensional shallow harmonic potential well is studied. By using
the variational method, the ground state properties for interacting
BECs in the shallow trap are discussed. It is shown that the possible
stable bound state can exist. The depth of the shallow well plays an
important role in stabilizing the BECs. The stability of BECs in the
shallow trap with the periodic modulating of atom interaction by
using the Feshbach resonance is also discussed. The results show that
the collapse and diffusion of BECs in a shallow trap can be
controlled by the temporal modulation of the scattering length. 相似文献