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1.
利用新的库珀对平均汤近似,导出了电-声系统中声子-库珀对有效作用,证明了声子通过交换虚的库珀对能够产生一个有效的吸引力,导致两动量相反的声子配对并构成稳定的声超导态。发现电子超导态与声子超导态的直积能构成稳定的电-声对称的高温超导基态。在声子-库珀对弱耦合极限下,基态对称破缺成为传统的BCS基态。 相似文献
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利用新的库珀对平均汤近似,导出了电-声系统中声子-库珀对有效作用,证明了声子通过交换虚的库珀对能够产生一个有效的吸引力,导致两动量相反的声子配对并构成稳定的声超导态。发现电子超导态与声子超导态的直积能构成稳定的电-声对称的高温超导基态。在声子-库珀对弱耦合极限下,基态对称破缺成为传统的BCS基态。 相似文献
3.
根据Thomas-Fermi近似,在基于最小动量态上玻色-爱因斯坦凝聚的前提下,研究了囚禁弱相互作用玻色气体势场的最优化问题.导出了指数吸引势阱中有效势场和粒子数极限判据,粒子数给定时,可由此判据求出所需势场强度;势场强度给定时,可由此判据求出粒子数极限.根据吸引相互作用系统的稳定性以及求出的排斥相互作用的最大粒子数极限,结合有效势场判据,分别给出了囚禁吸引和排斥相互作用玻色气体时,势场强度的最佳取值范围.
关键词:
玻色-爱因斯坦凝聚
弱相互作用
粒子数极限
势场强度 相似文献
4.
在Jaynes—Cummings模型中压缩真空初态场位相演化特性 总被引:2,自引:0,他引:2
应用Pegg-Barnett位相理论,研究了Jaynes-Cummings模型(J-C模型)中压缩真空初态场位相演化特性,具体计算了弱压缩条件下,场的位相几率分布函数及位相涨落,给出了在极坐标中位相几率分布演化曲线,讨论了原子与场相互作用对场的位相性质的影响。 相似文献
5.
应用Pegg-Barnett位相理论,研究了Jaynes-Cummings模型(J-C模型)中压缩真空初态场位相演化特性,具体计算了弱压缩条件下,场的位相几率分布函数及位相涨落,给出了在极坐标中位相几率分布演化曲线,讨论了原子与场相互作用对场的位相性质的影响。 相似文献
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本文从G-P平均势场理论出发,探讨了三维球对称非谐势阱中玻色-爱因斯坦凝聚(BEC)的G-P方程;用数值计算方法研究了三维球对称非谐势阱中原子间有相互作用的玻色-爱因斯坦凝聚气体的基态解;分析了非谐振势能项对玻色-爱因斯坦凝聚体的分布、能量和化学势的影响。 相似文献
8.
利用P-B位相理论,给出了双模光场与二能级原子相互作用系统中光场位相几率分布函数的精确表示式,研究了在三种极限条件下位相几率分布函数的动力学性质,位相涨落,粒了-位相的最小不定关系等问题。 相似文献
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This paper extends a previous one which was applicable only to short range interactions. We study the relativistic field theory of a charged spin-zero boson field in the presence of the Coulomb field of a prescribed (nuclear) charge distribution. It is shown that for a sufficiently intense field the ground state is unstable against the formation of a Bose-Einstein condensate of negatively charged bosons, positively charged bosons escaping the system. When the effects of weak interaction are included, the instability occurs in a weaker field and positrons are emitted. A consistent quantum theory is formulated after the Coulomb interaction of the bosons is included. Properties of the condensate are examined in the limit of large condensate density, in a mean field approximation, which is also studied numerically. Possible implications concerning the existence of abnormally bound nuclei are presented. 相似文献
12.
We show that the ground state of a spin-1 Bose gas with an antiferromagnetic interaction is a fragmented condensate in uniform magnetic fields. The number fluctuations in each spin component change rapidly from being enormous (order N) to exceedingly small (order 1) as the magnetization of the system increases. A fragmented condensate can be turned into a single condensate state by magnetic field gradients. The conditions for existence and method of detecting fragmented states are presented. 相似文献
13.
In this paper, based on the Bose-Hubbard model with two-body on-site interactions, we study the quantum phase transition between the superfluid state and the Mott-insulator state. With the decoupling approximation, we get the relation between the weak superfluidity and dimensionless chemical potential with different particle number and different dimensionless interaction strength, and the relation between the weak superfluidity and the reciprocal of dimensionless interaction strength with different particle number. We also calculate the corresponding experimental parameters. 相似文献
14.
In this paper, based on the Bose-Hubbard model with two-body on-site interactions, we study the quantum phase transition between the superfluid state and the Mott-insulator state. With the decoupling approximation, we get the relation between the weak superfluidity and dimensionless chemical potential with different particle number and different dimensionless interaction strength, and the relation between the weak superfluidity and the reciprocal of dimensionless interaction strength with different particle number. We also calculate the corresponding experimental parameters. 相似文献
15.
Ahmed S. Hassan Azza M. El-Badry Alyaa A. Mahmoud Hend A. Abdel-Gany Adel M. Mohammedein A.M. Abdallah 《Physics letters. A》2019,383(25):3063-3068
In this letter we suggest a theoretical model to investigate the weak interaction dependence of the in situ radii of condensate boson atoms in a combined harmonic with one or two-dimensional deep optical lattice. The semiclassical approximation is employed to calculate the above mentioned parameters. The calculated results showed that the in situ radii depends crucially on the interatomic interaction. Our results can be extended to investigate the moment of inertia of condensate boson atoms in combined harmonic-optical potential as well as superfluidity nature of synthetically charged boson atoms in combined potential. 相似文献
16.
《理论物理通讯》2017,(10)
Motivated by the recent experiments realized in a flat-bottomed optical trap [Science 347(2015) 167;Nat. Commun. 6(2015) 6162], we study the ground state of polar-core spin vortex of quasi-2D spin-2 condensate in a homogeneous trap plus a weak magnetic field. The exact spatial distribution of local spin is obtained and the vortex core are observed to decrease with the growth of the effective spin-spin interaction. For the larger effective spin-spin interaction, the spatial distribution of spin magnitude in spin-2 condensate we obtained agrees well with that of spin-1 condensate in a homogeneous trap, where a polar-core spin vortex was schematically demonstrated as a fully-magnetized planar spin texture with a zero-spin core. The effective spin-spin interaction is proportional to both the bare spin-spin interaction and the radius of the homogeneous trap, simultaneously. Thus the polar-core spin vortex we obtained can be easily controlled by the radius of the trap. 相似文献
17.
M. Amoruso C. Minniti M. P. Tosi 《The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics》2000,8(1):19-21
We evaluate the ground state of a mixture of bosons and spin-polarized fermions in the case of attractive boson-boson interactions, using a variational Ansatz for the Bose condensate wave function and the Thomas-Fermi approximation for the fermions in the mean field of the condensate. Within this approximation we show that the presence of the fermions tends to restrict the metastability range of the condensate, irrespectively of the sign of the boson-fermion interactions. Numerical illustrations are reported for mixtures of 7Li atoms with fermions having the 6Li mass. 相似文献
18.
用F-G-H方法数值求解描述BEC凝聚体的非线性薛定谔方程-Gross-Pitaevskii方程.研究总粒子数、粒子间相互作用、谐振频率和一般幂指数外势对玻色凝聚体粒子数密度分布、基态能量的影响.结果表明,增大幂指数外势、谐振频率,降低粒子间的排斥作用会增加凝聚体中心的粒子数密度、缩小凝聚体半径;增大总粒子数、谐振频率、粒子间的排斥作用和幂指数外势的指数会增大体系的基态能量;随着总粒子数增大,数值结果与托马斯-费米近似结果渐趋一致,托马斯-费米近似在大粒子数条件下是一种较好的近似方法,在粒子数有限时,结果与真实情形偏差较大,应采用数值解法. 相似文献
19.
An essentially exact approach to compute the wave function in the time-dependent many-boson Schr?dinger equation is derived and employed to study accurately the process of splitting a trapped condensate. As the trap transforms from a single to double well the ground state changes from a coherent to a fragmented state. We follow the role played by many-body excited states during the splitting process. Among others, a "counterintuitive" regime is found in which the evolution of the condensate when the splitting is sufficiently slow is not to the fragmented ground state, but to a low-lying excited state which is a coherent state. Experimental implications are discussed. 相似文献
20.
The Rosen-Zener model for association of atoms in a Bose-Einstein condensate is studied. Using a nonlinear Volterra integral equation, we obtain an analytic formula for final probability of the transition to the molecular state for weak interaction limit. Considering the strong coupling limit of high field intensities, we show that the system reveals two different time-evolution pictures depending on the detuning of the frequency of the associating field. For both limit cases we derive highly accurate formulas for the molecular state probability valid for the whole range of variation of time. Using these formulas, we show that at large detuning regime the molecule formation process occurs almost non-oscillatory in time and a Rosen-Zener pulse is not able to associate more than one third of atoms at any time point. The system returns to its initial all-atomic state at the end of the process and the maximal transition probability 1/6 is achieved when the field intensity reaches its peak. In contrast, at small detuning the evolution of the system displays large-amplitude oscillations between atomic and molecular populations. We find that the shape of the oscillations in the first approximation is defined by the field detuning only. Finally, a hidden singularity of the Rosen-Zener model due to the specific time-variation of the field amplitude at the beginning of the interaction is indicated. It is this singularity that stands for many of the qualitative and quantitative properties of the model. The singularity may be viewed as an effective resonance-touching. 相似文献